diff --git "a/data/dm_maths/full_data_2/2450_11255.jsonl" "b/data/dm_maths/full_data_2/2450_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2450_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -464903 = 32*q - 1568999. List the prime factors of q.\nAnswer: 3, 7, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288369 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*h**2*z**3 + 14*h**2*z + 325*h**2 - 40*h*z**3 - h*z**2 + 64*h*z + 3*z**2 wrt h?\nAnswer: -16*z**3 + 28*z + 650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w**5 - 5*w**3 + w**2 - 5*w + 5. Let i(x) = -9*x**5 - 4*x**3 - 4*x + 4. Let a(o) = -4*h(o) + 5*i(o). What is the third derivative of a(j) wrt j?\nAnswer: -540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 15*r**2 + 23*r + 107. Determine k(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3346, 3339, 3332, 3325, 3318?\nAnswer: 3311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492*t - 9 = 495*t + 5*m, -5*t + 2*m = 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12))\/((15\/(-54))\/((-275)\/(-660)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*m**5 + 13*m - 25*m**2 - m - 14*m - 20*m**5 wrt m.\nAnswer: -2100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 812999 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1 (b) -2\/5 (c) -1 (d) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - 0. Let x = -191.7 + 192.20008. Let b = x + d. What is b rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(833) + sqrt(833)*-2 + sqrt(833) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p - 6. Let h be r(-5). Suppose h*d - 12 = 4*a, a = 3*a. Suppose u = d*i + 14, -5*u = 3*i + 2 - 18. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 12*h - 3 + h in the form x*h + m and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1002\/3)\/(0 + 3). Let b = h + -110. Which is greater: b or -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = 4*m + 4*z + 666, 2*z = 4. Let w be (-6)\/21 - 1984\/14. Let k = w - m. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 4) to base 7\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**3 + 423*k**2 + 14892*k = 0?\nAnswer: -73, -68, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/9)\/((-2)\/(-6))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 0 + (4812 - -3) + -5 and 22?\nAnswer: 52910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 6*v**2 + 4. Let h be m(6). Let r = h - 39. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -31 - (34 - 60)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 2\/8365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 5*l + 44 = 0. What is the closest to l in 1\/2, -2, -2\/7, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8214 divided by 37.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231 and 13328?\nAnswer: 439824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, 0.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/760)\/((-2476)\/(-19808)).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -7. Is (-1)\/6*-389 + w\/18 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 4347 in ascending order.\nAnswer: -4, 3, 4347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 10) in base 8?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*h**2 - 135*h**2 + 39*h**2 - 2.\nAnswer: -116*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 1, r: 1, y: 5, l: 3}. What is prob of picking 2 l and 1 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 30. Suppose 0*s + s = f. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*c**2*x + 733972*c**2 + 50859*c*x**4 + 5 wrt x.\nAnswer: 9*c**2 + 203436*c*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/4 - 669*j**2\/4 - 27962*j = 0. What is j?\nAnswer: -341, -328, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 2\/5, -1, 1\/22, 26 in ascending order.\nAnswer: -1, 1\/22, 2\/5, 26, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 times 10795\nAnswer: -14033.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2972 and 3338300766?\nAnswer: 3338297794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94162?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 + 239. Suppose -3*r - j = -7*r. Suppose -r = 20*c - 28*c. Solve -f = 2*x + c, 2*f = x - 2*x + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 324*q**5 - 10600*q + 10600*q + (-2*q - 4*q**2 + 2*q)*(4*q**3 + q**3 - 3*q**3) + (q**5 + q**3 - q**3)*(0 + 4 - 2).\nAnswer: 318*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 4:04 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4 = -3*b, 3*h + 5*b - 1085 = 0. What is the remainder when 1068 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58\/5, 4, 8, -2\/9, 0.3, 2\/5 in decreasing order.\nAnswer: 8, 4, 2\/5, 0.3, -2\/9, -58\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46598 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-13285)\/230)\/(3\/24). Let z(p) = 9*p**2 + 3*p. Let i be z(7). Let v = i + u. Which is the biggest value? (a) 0.2 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8120\/696)\/(1\/((-3)\/20)*321\/(-856))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1466864 by 56.\nAnswer: -26194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -283*t**3 - 20*t**2 - 34*t - 20. Let k(x) = -94*x**3 - 7*x**2 - 12*x - 7. Let z(m) = -17*k(m) + 6*v(m). Find the third derivative of z(s) wrt s.\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4789 - 2771. Suppose 0*a - 3*a = -b. Round a to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/585 and -161\/2106.\nAnswer: 10530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015242 take away -105762065?\nAnswer: 105762064.984758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -1838*v**2\/3 + 1395082*v\/3 - 10120 = 0.\nAnswer: 20\/919, 759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1\/2, 1, -3, -0.04786, -1\/6, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-73)\/(-365))\/((-1)\/15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -501121\/232 - -2160. Calculate the common denominator of 71\/64 and o.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4398218 less than or equal to -4398127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -8 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*t. Suppose 4 = -w + t*w. Find the second derivative of b**4 - b**w - 6*b - b - 7*b**4 wrt b.\nAnswer: -84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from jjjjfssssssssstyj?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*g + 7, 5*f = 5*g - 15 + 5. Let i be 50\/30 + (-17)\/9 + (-2104)\/(-9144). Is i >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 650844935 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/2)\/((-26)\/208*-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**0)**(-5\/4)*(j**1)**(17\/5) assuming j is positive.\nAnswer: j**(43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 95451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -148*g. Let r(o) = 8*o. Give r(z(n)).\nAnswer: -1184*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/4, 0.00996202, -3, 0, -1\/6, 0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)\/o**(1\/9))\/(o**(2\/11)*o*o**(-8)\/o) assuming o is positive.\nAnswer: o**(565\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 42. Let a(r) = -r**3 - 9*r**2 + 9*r + 12. Calculate the smallest common multiple of a(f) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13304, 26618, 39932, 53246, 66560?\n\"Answer: 13314*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 38320670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 458\/2305 - -3\/2305. Determine y so that -u*y**3 + 2\/5*y**2 - 2\/5*y**4 + 1\/5*y**5 + 0*y + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7672, -7642, -7612, -7582, -7552, -7522?\nAnswer: -7492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -116 and -1.4222 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 5180704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8029 - 7994. What is the greatest common divisor of i and 405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -174, -4 in descending order.\nAnswer: 1, -4, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-36) - 48\/(-9) - 6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**6\/60 + 2*u**2 + 4*u. Let p(y) be the first derivative of l(y). Factor p(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 12:32 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5428, -9930, -14432, -18934, -23436, -27938?\n\"Answer: -4502*a - 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1 + 6*v**2 - 5*v**2 + 2 - 4*v. Let z be j(4). Suppose -6*c = 5*a - c - 100, -102 = -5*a - z*c. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5 = 73. Let x = -12 - w. Let b(p) = 3*p + 2. Is b(x) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 6:51 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000591284567 to 7 decimal places.\nAnswer: -0.0000591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**2 - 1694*f + 40145. Give m(-446).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02864 and -118.92.\nAnswer: -118.94864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65632, -65519, -65406, -65293, -65180, -65067?\nAnswer: -64954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - 2*p + 2*p - 3*p to n + h*p**2 + o*p and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -226 - 2356*t - 4*t**2 - 1250 + 1852*t.\nAnswer: -4*(t + 3)*(t + 123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 - -131.2. Let a = f - 18.7. Round a to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130 + 226. Let n = -1040818.9919 - -1040915. Let r = n - b. Round r to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-18)*3)\/((-34)\/(-17))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277966574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*h. Let f = h + 8. Let l be ((-3)\/2)\/(f\/32). Which is smaller: l or -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (263 - 3)\/4 - (6 + -3). What is the first derivative of 30 + u*d - 39 + 28*d wrt d?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**5\/7 - 20*q**4\/7 - 4*q**3\/7 + 20*q**2\/7 = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -16*r**7\/105 - 31*r**5\/60 + 35*r**2. Find the third derivative of q(s) wrt s.\nAnswer: -768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -23*s**2 + 1504*s - 5627. Give f(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 12*j + 58 = 0. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-5) + -12 + (-226072)\/(-110). Solve -u*w + 4 = -2046*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*x = 329. Let k = -91 - x. Let r = k + 82. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 222544?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 20 = 2*a, 0 = 832*g - 829*g - 2*a + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y. Suppose 4 = x, 4*t - 4*x + 3*x - 132 = y. Suppose -130 = -4*q - 2*z, -q + 9 = -3*z - t. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-2)\/((-10)\/5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 218466 by -954.\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 88 (b) -23.3 (c) 314 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.8 - 24.2. Let d = y + 47. Let r = 20.000019 - d. What is r rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (-2*sqrt(102)*-3 + sqrt(102) + sqrt(102))) + 3*(sqrt(102) + sqrt(102)*-1))\/(-6*(1*sqrt(1350))\/sqrt(9)).\nAnswer: 7*sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 1 = 0, -6*u + 3*n = -2*n + 50 - 31 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -60 + (-5772)\/(-96) - 94\/(-16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3*(sqrt(378) + sqrt(378) + -3*sqrt(378) + sqrt(378)) - sqrt(378))\/(sqrt(216)*4))**2.\nAnswer: 63\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 3. Let w be (1*-3*1)\/g. Let f = -0.2 + 0.1. Which is the closest to 1\/3? (a) -1 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 7312*o + 3927 = -7309*o, -o + 9 = 0. What is the highest common divisor of 7930 and t?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244 (base 11) in base 6?\nAnswer: 11301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-540)\/96*6\/(-15)*2\/(-24)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + (-520)\/(-32))*(-20)\/(-9).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/4 + 207*t\/2 - 941215\/4 = 0 for t.\nAnswer: -1199, 785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-p - 2*p + 2*p)*(-3 + 3 + 2*p**2) + 5*p**3 - 3*p + 3*p)*(4*p + 0*p - 3*p) to f*p + h*p**3 + r*p**4 + x*p**2 + t and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2760 and 1153110?\nAnswer: 106086120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v + 127. Let z be u(-17). Let p be (-12)\/(2*-2) - (-18 + z). What is the smallest value in 5\/3, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*1*1)\/(13\/(-65))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.9 + 15.9. Suppose 140 = 4*v + n, 10*n = 15*n. Which is greater: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2119?\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) - 1619990\/(-30). Suppose y + 3 = 6*y - r, -3*y - 2*r - 6 = 0. Suppose y = 2*a - 4*a + j. What is a rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -24. Let l(x) = 2*x + 13. Let w be l(-4). Suppose -2*b = -w*q - 29, -b + 2*q = -5 - 7. Solve -2*z + g = 3*t, -z = -t - b*z + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11594 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/(1\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j + 83 - 85 + 3*j - 4*j. Let l be t(-1). Determine d so that 2\/13*d**5 + 32\/13*d**2 + 4\/13 + 18\/13*d + 28\/13*d**3 + 12\/13*d**l = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1\/28)\/g)\/g**(5\/7))\/(g**(-13))**(-8\/3))**(-3\/13) assuming g is positive.\nAnswer: g**(425\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 619348124?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 j when four letters picked without replacement from jjvjjjvvvjjjjvjjjjjj.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opoooooopooopoo. What is prob of sequence op?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 305463 - 95.\nAnswer: 305368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d - 3. What is q(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -22*l - 39 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 8*a**2 + a + 11. Let w be j(-8). Let x = w - 1. Suppose 12*s + 6*s - 3*s - 45 = 0. Solve -s*f - x = -4*v - 4, 2*f = -v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4978*j**2 - 4920*j**2 + 34*j + j.\nAnswer: 58*j**2 + 35*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/6)\/5 + 3\/30. What is the closest to d in -2\/15, -1, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 4*p + 2 - 3 + (9 - 50 - 19)*(93 - 93 + 85*p).\nAnswer: -5102*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (20\/(-14) + 0)*(-8 + -6) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/15)*u**(3\/7)*(u\/(u**(2\/7)\/u)*u*u)\/u*u*(u*(u**11*u)\/u)\/u)**(1\/42) assuming u is positive.\nAnswer: u**(802\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9304957 is divided by 1092?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(3993))\/(-6*(sqrt(44) - sqrt(11))).\nAnswer: -11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 - 2*w**3 + w**3)*(-2*w**2 + 0*w**2 + 3*w**2) + (-1379*w**3 + 1379*w**3 + 7*w**5)*(-7 + 2 + 3).\nAnswer: -15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.172? (a) 1 (b) -0.4 (c) -1 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 17 = 11. Let m be 15 - (y - 3)\/1. Suppose -44 = -6*w + m. Calculate the remainder when 26 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*x + 600*x + 2795 = -9625 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.09843 * -831\nAnswer: -81.79533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -467, -3814, -12899, -30590, -59755, -103262, -163979, -244774?\n\"Answer: -478*c**3 - c**2 + 2*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1581*x**3 - 21*x**2 + 7685824 wrt x?\nAnswer: 4743*x**2 - 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 19 = 4*i - 5*g, -4 = 2*g. Let n = 21 + i. Let y = -20 + 55. Calculate the remainder when y is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54.8 - 55. Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91170918 >= 91170919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, g: 1, p: 3, u: 1, z: 1}. What is prob of picking 1 u and 2 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + 101001011010011110110?\nAnswer: 101001011010011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5547466 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(210)*-2 + sqrt(210))\/(-5*(sqrt(24)\/sqrt(4) - sqrt(6) - sqrt(6))))\/((-1*sqrt(45)*-6)\/(-1*sqrt(9)*-6)).\nAnswer: 13*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 507364 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-20))\/(-3)*(-15)\/(-9)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1182, 1179, 1166, 1137, 1086?\n\"Answer: -h**3 + h**2 + h + 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + sqrt(180) + (sqrt(180) - (sqrt(180) - (1 + sqrt(180)))) + 1)**2 + 5 + (1 + sqrt(45))*5.\nAnswer: 87*sqrt(5) + 1634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**6\/80 - g**5\/8 - 7*g**4\/16 - 3*g**3\/4 + 36*g**2. Factor a(r).\nAnswer: -3*(r + 1)**2*(r + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039471 to six decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-81) + (-561)\/280908*276.\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**4\/2 + z**3\/6 - z**2\/2 + 3*z. What is the units digit of h(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -6, 2*m = 238*l - 226*l + 32 + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8628 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -39\/4*l + 1031\/8*l**3 - 387\/8*l**4 - 721\/8*l**2 - 5\/8*l**5 + 20 = 0.\nAnswer: -80, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-243)\/108)\/((-45)\/24))\/(6\/(-60))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*s = -233, -6 + 16 = -5*s. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 561895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1352\/35013 or -2\/15?\nAnswer: -1352\/35013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(51)*2*5)\/(sqrt(147)*-1 - (sqrt(24)\/sqrt(2) + sqrt(3))).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5*g + 5 = -0*g, -g = -w + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/((-5)\/2 - -2). Suppose -5*v - 6 - j = 0. Which is the closest to 0? (a) 0.5 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/7 - 484*k**3\/7 - 23206*k**2\/7.\nAnswer: 2*k**2*(k - 283)*(k + 41)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3573*p - 6426*p + 236*p - 312416 = 0 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + 15. Suppose -6 = -l + r. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 26*t + 387. What is the tens digit of l(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87827882 >= -790450940\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 18.5, -2, 0.4, 0, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - 2*r)*(-3 - 3*r + 0 + 1 + 2*r**2).\nAnswer: -4*r**3 + 6*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-15) - (-80)\/6. Let n = -13 + 21. Solve -4*m + v = -g, -2*m + 0 + n = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-144)\/(-1 + -2) - 3. Suppose 0 = 5*d + 20. Let q be (-26)\/u - d\/(-18). What is the nearest to -0.1 in -4, -1\/2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6028 - 5984. Calculate the remainder when 981 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.5405 + 2.53. What is v rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*r**2 + 253*r**2 + 45*r**2 - 80*r**2 - 93*r**2.\nAnswer: 286*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -1\/5*u**3 - 1\/10*u**4 + 0*u**2 + 6*u + 0. Factor w(o).\nAnswer: -6*o*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 66, 120, 166, 204, 234?\n\"Answer: -4*i**2 + 66*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.42 (c) -46\/163\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65080 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -9498*x**2 + 0*x**3 - 6*x**3 + x**4 + 9507*x**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4101148 and -15.\nAnswer: 4101133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 0*r**2 + r + 0 - 1\/3*r**3 + 0*r**4 + 1\/5*r**5. What is the second derivative of c(u) wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/3*36\/(-8). Is (-2)\/(-7) + (-282)\/p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11673402539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122 + -361\/3. Let x = 4 - 3. Let g = x - -1. What is the smallest value in g, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19920 and 5790?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 + k - 1. Let y be v(1). Let l = 8 - y. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*t**3 + 4*t + t**4 + 17*t**3 - 1 - 5*t + 0*t**4 in the form k*t**3 + n*t**2 + p*t**4 + s + o*t and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 2:20 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**2 - 123*v - 37. Calculate y(31).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 454 + -129. What are the prime factors of f?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 2*f - 8. Let n = -29 - -21. Let p = n + 13. What is the second biggest value in -3, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or 3?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 196?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1003432110 (base 5) to base 2\nAnswer: -111101011110110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 + a + 166*a**4 - 83*a**4 + a**3 - 80*a**4 in the form r + z*a**3 + k*a**2 + t*a + n*a**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) 63 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-99)\/22 + (2 - (3 + 0)) and -3\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 889.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -131.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 12:30 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 142950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 15*y**2 + 55*y - 22. What is t(18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {b: 6, i: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 25*x + 1. Let b(p) = -5*p**2. Determine t(b(u)).\nAnswer: -125*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1512 by -378.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32*25\/700)\/(4\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.046 + 35.954. Let v = 1433.252 - 1397.25054. Let f = v - r. Round f to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 3*x**2 - 3*x - 4. Let b = -6 - -3. Let h be o(b). Solve 0 = 3*f - 4*f + h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(-6))\/((-34)\/((-4896)\/(-54))). Let z(u) = -3*u**2 - u + 1. Let p be z(1). Put 1, k, 47, p in descending order.\nAnswer: 47, 1, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0327 - 0.0523. Let d = -0.185 - h. Let g = 6071\/17 + -357. What is the smallest value in 0.5, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26787437 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q + 37*q - 4450. What is the remainder when 193 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625740197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 372, 587, 822?\nAnswer: 1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a2a - -3119?\nAnswer: 13bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 4, 2, -1, 1\/3 in increasing order.\nAnswer: -1, -2\/11, 1\/3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 5*a**2 - 2*a - 3. Let b(s) = -s**2 - 14*s - 11. Let c be b(-11). Let o = c - 4. Let h be (-14)\/(-6) - (-12)\/o. Calculate w(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**2 - 4*d - 5. Let i(h) = -3*h**2 + 5*h + 6. Let l(f) = 4*i(f) + 5*k(f). Suppose 2*w - 4 + 2 = 0. Determine l(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 224 + -220. Suppose k + x*k = 1325. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22486 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g = z + 2, 4*g = 2*z + 12. Suppose 16*q - 13*q = g*b - 11, 19 = b - 4*q. Is -3 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 7*q - 43, -21*l - 11 = q - 16*l. Solve 18 = 5*i + 2*n, q*i - 5*n - 17 = 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93534.2 + -85811. What is q rounded to the nearest one hundred?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/(-6))\/(-5) - (-3)\/2. Let c(q) be the first derivative of 15\/4*q**4 - 3 - 3\/5*q**5 - 6*q - 9*q**3 + 21\/2*q**z. Find a, given that c(a) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - a = g + 766, 0 = -3*g - 12. What is the remainder when a is divided by 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 698 or 717?\nAnswer: 698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2578*i + 77454 = -12776 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - -1. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 7*j**6\/30 + 5*j**2\/2 + 19*j. Find the first derivative of c(v) wrt v.\nAnswer: 28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ba40 - 19?\nAnswer: -ba59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19060364627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 67947842 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 101 = -5*s + 112, 23 = 3*l - s for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/964 and -1\/273924.\nAnswer: 66015684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * -0.3.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 304541 (b) -0.2 (c) -8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - i + 20 = -9*t, -5*t = -5*i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*w**3 + 32*w**3 - 60*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7726 + 2*f + 734*f**2 - 7726 to n*f + i + k*f**2 and give k.\nAnswer: 734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*l + 13 = -4*n - 196*l, -7*l + 57 = -4*n - 0*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 2, l: 1, j: 1}. Give prob of sequence bj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 - -64. Solve 0 + 8 = -f*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*d - 9 = 0, -g + 5*d = 18 - 3. Suppose g = 8*j - 6*j - 20. Find the second derivative of 9*y**3 + 0*y - y**3 + y - j*y wrt y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**3*r**4 + o**3*r**2 - 12*o**3 - 2*o**2*r**4 + 76*o + 116*r**4 wrt r.\nAnswer: 48*o**3*r - 48*o**2*r + 2784*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -1.9. Let y = 6.6 + l. Suppose -g = 4*g - 40. Sort -1\/3, y, g in increasing order.\nAnswer: -1\/3, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 20. What is the nearest to x in -5, 2\/11, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 555*l**2 - 100965*l - 3047765.\nAnswer: 5*(l - 217)*(l + 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6\/5, 531 in ascending order.\nAnswer: -6\/5, -1, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 1\/420*q**6 + 11\/84*q**4 + 152*q**2 + 0 + 1\/30*q**5 + 5\/21*q**3 + 0*q. Find v, given that k(v) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -13. Let h be (-5)\/20 - z\/(-91032)*-11371. Let d = h + -1399577\/227580. Calculate the common denominator of -109\/20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k - 5. Let z(d) = -4*d - 4 - 2*d - d. Let r(u) = 6*i(u) - 7*z(u). Let w be (1 + (-3)\/(-9))*3. Give r(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 568\/3 or 188?\nAnswer: 568\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 15\/(-9)) + 133\/(-105). Put k, 4\/3, 0.5, -2 in increasing order.\nAnswer: -2, k, 0.5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5119 (base 11) to base 15\nAnswer: -2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 85?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 + 41*b**2 + 441*b + 33. What is y(28)?\nAnswer: 621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/88 - (-2)\/8. Let b be 6 + -12 - (-3129)\/539. Let f = i - b. What is the smallest value in -5, -3\/7, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 1\/(2\/(-4)))*-1. Suppose -5*o + 108 = 6*l - 2*l, v*l - 15 = -o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -26748.\nAnswer: 1\/6687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(4*((-891)\/222 - -4)). Suppose -22917 = -i*m + 34*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dradadadbaaaa. What is prob of sequence aaad?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29621 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37381458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121853678 to the nearest integer?\nAnswer: 11039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, o: 4, v: 4}. What is prob of picking 1 o and 1 v?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 18 = 3*o - q, 0 = 5*o - 4*q - 26 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i*j + 10*i*m - 3*j*m - 10 wrt j?\nAnswer: 2*i - 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1006 + 997 = -3*r - 3*s, r - 5*s + 3 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6802 and 1206956?\nAnswer: 216045124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j + 22. Let l be f(-4). Let h = 17 - 12. Let w = h + -5. Solve w + 4 = l*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -594076011 bigger than -594076011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 3*j - 8. Suppose j*p = -4*p + 30. Solve -p*c + 6 = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2074748, 4149502, 6224256, 8299010, 10373764?\n\"Answer: 2074754*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20122962 by -47237.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -52, 2\/17, 55 in decreasing order.\nAnswer: 55, 2\/17, -0.1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-26)\/(-8) - (104625\/372)\/125\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**4\/48 + g**3\/6 - g**2\/2 + 2*g. Determine n so that v(n) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021125707.\nAnswer: 7, 1433, 101797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -59*q**4\/24 + 5*q**3\/6 + 987*q**2. Let v(p) = p. Give u(v(m)).\nAnswer: -59*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -940.81.\nAnswer: 2822.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8*6\/(-12))\/1. Let o(d) = d**3 + d**2 + d + 3. Let u be o(0). Suppose -u = -3*y + 3. Solve -y = 7*h - 2*h - a*m, -4*m + 12 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3587*y**3 - 6*y - 5. Let i be v(-1). Find the common denominator of 101\/16 and (-28)\/(-322) - (-3598)\/i.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99715*h - 99699*h = -80 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2138 is divided by 157.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -112*g - 5 - 1 + 2 + 94*g. Does 14 divide y(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0 + 1\/36*l**4 + 0*l + 0*l**3 + 13*l**2 - 1\/180*l**5. Factor m(n).\nAnswer: -n*(n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49724523 divided by -5524947?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/(-462))\/(4\/8)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 504.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 6:29 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -46. Let p(r) = r**3 + 29*r**2 - 30*r. Let n be p(k). Put -11, 2, n in decreasing order.\nAnswer: 2, n, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w + 8. Let a(i) = 5*i + 8. Let u(c) = -5*a(c) + 4*q(c). What is u(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1\/b)**(16\/3)\/(b\/(b\/(((b\/b**(2\/5))\/b)\/b)*b))**3*(b*(b\/(b\/(b*b*b*b**3\/b*b*b)))\/b*b*b\/(b\/b**(-9)))**(23\/3) assuming b is positive.\nAnswer: b**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -79759*p - 478653. What is y(-6)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2217*t**4 + 971*t**3 + 7128128*t**2.\nAnswer: 53208*t + 5826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -46*l**2 - 32*l + 10. Let x(h) = -9*h**2 - 6*h + 2. Let j(a) = -3*i(a) + 16*x(a). Let r(b) = -28*b**2. Determine j(r(s)).\nAnswer: -4704*s**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 41*k + 1225 = 0, -6*i + 3*k - 873 = -993 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/15 (b) 1 (c) 0 (d) 3\/7 (e) 262 (f) 1\/20 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 3*c + 1. Let k be j(2). Let z be (5\/(-2))\/(k\/2). Let v = z - -19. What is the remainder when 71 is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1601*q**3 + 11*q**2 - 2*q - 171. Is w(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79*b**2 + 23*b + 6676.\nAnswer: 158*b + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10303.09198 + -10303. What is b rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 1. Let y be f(0). What is the units digit of (3 - 0) + y + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utu when three letters picked without replacement from {v: 3, q: 3, p: 1, t: 2, r: 1, u: 5}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/1 - 16\/(-4) - (-1140)\/(-160). What is the closest to 65 in -0.5, r, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 31*t - 19. What is the tens digit of f(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 4*s**2 + 4*s - 3. Let h be b(-5). Suppose h*w = n + 56, 5*w - 2*n = -5 + 143. Suppose -3*p + 74 = w. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 20159126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2*s + 6 = 0, -584*w + 9 = -580*w - 3*s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 6. Let k be 6\/(-4 + 3 + 0). Let l(j) = -2*j - 11. Let w(y) = k*l(y) + 11*p(y). Let c(f) = -f**2 + 4*f**2 - f**2. Give w(c(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, r: 4}. Give prob of picking 1 r and 2 p.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -205*s**4\/24 - 3*s**2 - 7*s. Let z(g) = -7*g. Calculate z(h(y)).\nAnswer: 1435*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 10. What is the closest to 1 in 2, z, -0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 13*y**4\/6 - y**3\/3 - 157*y + 6. Let r(j) = 77*j**2 - 7*j. Calculate -7*g(l) + 2*r(l).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2 - 3165*l = 0. Calculate l.\nAnswer: -1055, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6759996 = -s + 2*r, s - 25*r = -27*r - 6760004. What is s rounded to the nearest 100000?\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 34*v**2 + 74*v + 1723. Is m(81) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(243)) - sqrt(243))**2 - sqrt(243).\nAnswer: 1071*sqrt(3) + 8848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 867636, 1735269, 2602904, 3470541?\nAnswer: 4338180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(1700) + 2)**2.\nAnswer: -320*sqrt(17) + 108804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(6) - (sqrt(6) - (sqrt(6) + (sqrt(216)*6 + sqrt(6) - sqrt(6))))))\/(2*sqrt(72)*-5 - sqrt(72)).\nAnswer: 37*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/((c*c\/((c*c\/c**(1\/20))\/c))\/c)*c**4*c)\/((c*c\/(c*c*c*c**(2\/5)\/c))\/(((c\/c**(4\/5))\/c)\/c)))**18 assuming c is positive.\nAnswer: c**(999\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67.4 + -287.6. Let s = 355 + w. Is s at least as big as 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 103.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -0.1, -3\/2, -43?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22594 is divided by 1332.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790 - 543 = 58*x - 1096 - 919 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.6 + -13. Let b = -0.6 - 0.4. Put b, -3, w in decreasing order.\nAnswer: w, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -1\/15*o**5 + 0*o + 3*o**2 + 0*o**3 + 0 + 0*o**4. Let x(u) = -u**2. Give r(x(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 113855?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3600505ml to litres.\nAnswer: 0.0003600505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 10*g + 3*g**3 + 23 - 32 - 7*g**2 - 2*g**3. Let p be u(6). Let h = -13 + p. What is the remainder when h is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2808)\/1170*50\/(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 30 + 20 + 8)*(-254*g**3 + 63528*g - 63528*g).\nAnswer: -13970*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 0*k + 4*k**4 - 4*k**3 + 0*k**2 - 4\/5*k**5 - 191. Factor p(w).\nAnswer: -4*w**2*(w - 3)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*o + 2558 = -114*o - 3362 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/9)\/(1\/3). Is 1\/7 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(108)*2*6)**2 + (sqrt(108) - ((sqrt(108)*-4 - sqrt(108)) + sqrt(108) + -5)).\nAnswer: 30*sqrt(3) + 15561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**2 + 451*n + 854. Give t(77).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from {h: 1, k: 1, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**3 + 4*h**2 - 4*h. Let d(x) = 9*x**3 - 3*x**2 + 3*x. Calculate -4*d(j) - 3*n(j).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*h = -83, -29*h = 3*o - 30*h - 49. Solve -o*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1125 is divided by 442.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c = 0. Let p be 1\/5 - (c + 1). What is the third smallest value in p, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1648 and -7\/54.\nAnswer: 44496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 5255660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9265117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x + 7. Let q be 14\/(-2) + (0 - 0). Let h(u) be the first derivative of 3*u**2\/2 + 5*u + 16. Determine q*h(k) + 5*d(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3653665441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**6\/120 + t**5\/20 - 5*t**4\/24 - t**3\/3 - t**2 + 2*t. Let u be m(-4). Solve -9 = -u*z - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -363.79 - -365.79. What is the biggest value in 0, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22311330 (base 4) in base 16?\nAnswer: ad7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4*8\/2. Find the third derivative of 18*o**2 - 10*o**2 + 2*o - k*o - 2*o**3 wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/2 - 46213*v\/2 - 46215 = 0. Calculate v.\nAnswer: -2, 46215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606 >= -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50921.\nAnswer: 13, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2080.9 * 0.05\nAnswer: -104.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -231, -231, -243, -273, -327, -411?\n\"Answer: -d**3 + 7*d - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4611*j**2 + 7163*j. Let o(x) = -128*x**2 + 199*x. Let y(l) = -145*o(l) + 4*r(l). What is the second derivative of y(b) wrt b?\nAnswer: 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -3. Let m(d) = d - 2. Let b be m(g). Differentiate 1 - 4*j + j**b + 4*j wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 2222?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**2\/2 - 45*o\/4 - 35\/4 = 0.\nAnswer: -7\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10296 and 621945.\nAnswer: 711505080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/6))**(-5)*(s**(-14))**(-5) assuming s is positive.\nAnswer: s**(425\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 0, 2.62?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - 4*y**2 + y**2 + 8*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -11*d + 20*d. What is the remainder when 14 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + i**2 + 0*i**2 + (10*i + 4*i + 10*i)*(-2 + 2 + 2*i) to q*i + n + o*i**2 and give o.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0, 8\/7, -1, 0.09?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**3\/4 + 44337*w**2\/4 - 4084353*w\/2 = 0.\nAnswer: -14961, 0, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 23*d + 4*d)*((-16*d**3 + 18*d**3 + 7*d**3)*(-2 + 1 + 3) + d**3 + 3*d**3 - 6*d**3 + (-2*d + 2*d + d**2)*(-d - 2*d + 2*d)).\nAnswer: 465*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -529*c**2 + 7*c - 8. Let t be r(6). Let s = t - -380123\/20. Calculate the common denominator of s and 133\/70*90\/144.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386 = i + 5*m, -3*i - 3*m = -5*i + 720. Let s be i\/12 - (4 - 14). What is l in 6*l + 0 - 75\/2*l**2 + s*l**3 + 525\/8*l**4 - 147\/8*l**5 = 0?\nAnswer: -1, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 17*i + 3. Let q be x(-17). Let d(b) = -5*b**3 + 3*b**2 + 2*b. Let k(z) = 4*z**3 - 2*z**2 - 2*z. Let o(y) = q*d(y) + 4*k(y). Factor o(c).\nAnswer: c*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11036970 - 11036086.97057. Let b = -883 + o. Round b to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and 0.03.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-56) - (-64)\/(-14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302212100 - -100?\nAnswer: 302212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 33 = a, -3825 + 3856 = 5*a - 2*n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -4.6. Let t = n - -0.4. Let c = -1.62 - -2.02. What is the nearest to 0 in c, -3\/4, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 25*z + 7. Let u be 58 + 2 + (-1 + 3 - 0). Suppose r + u = 74. Let a be v(r). Let g(f) = -f**2 - 5*f. What is g(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 5*s + 6. Let a be f(-4). Suppose 4*x - p - a*p - 14 = 0, -x + 10 = -4*p. Is 1 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 15*s - 14. Let q be w(10). Suppose -5*y + 14 = -q. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6093 - 4.6093. Let n = -0.3 + -0.2. Which is the fourth biggest value? (a) 4 (b) g (c) 2\/21 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, -360, -5, -12, 4, -3.\nAnswer: -360, -152, -12, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.08 times -153?\nAnswer: 5367.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*y - 12 - 14 + 26 to q + b*y and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.21 + 0.09. Let p = 0.22 + j. Which is smaller: 24 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 8*s**2 - 21*s - 25. Let b be k(-4). Let m = 7 + -7.17. What is the closest to 1 in 0, b, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.061609 and 750.\nAnswer: 750.061609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 304924.\nAnswer: -304924.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2. Let h(f) = -13*f - 3*f + 17*f - 5*f - 13*f. Give h(x(a)).\nAnswer: -34*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.72 * 140\nAnswer: 100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -50. Let s be 7\/((-7)\/57) + 2. Let c = s - -137. Calculate the remainder when c is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 9. Let p(z) = 4*z + 10. Let a(h) = 6*g(h) + 5*p(h). Suppose -6*j + 85 = -j. Suppose -j = -5*m - 2. What is a(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 11:54 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*c**5 - 898*c**3 - 217*c**2 + 35586516*c?\nAnswer: -300*c**3 - 5388*c - 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) -4222 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -1 - 5*c + 2 + 4*c. Let k(b) = 3*b**3 - 4*b**3 - 3*b**2 + b - 1 - 2*b. Let z(d) = k(d) + x(d). Determine z(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1048*g**5 - 9631*g**4 + 689*g - 56839 wrt g.\nAnswer: -20960*g**3 - 115572*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141823*k + 16338*k - 22508*k + 43221*k.\nAnswer: 178874*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*k**2*t - 56*k**2 + 5*k*t**2*z - 44*k + 102*t**2*z + z + 5 with respect to t.\nAnswer: 14*k**2 + 10*k*t*z + 204*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 192\/88 - (-2)\/(-11) - -5. Suppose -1 = 6*p - r. Factor 2\/3*q + 1\/3*q**2 - p.\nAnswer: (q - 1)*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*n**2 + n - 178 wrt n?\nAnswer: 10*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008078 rounded to seven dps?\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4065689 is divided by 1784?\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1458?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2278102 - -15254407.\nAnswer: 12976305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 16 = 6*m. Suppose 5*t - m = -4*f + 27, 3*t = -4*f + 37. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -291*c - 7041. Determine z(-24).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10862*1.28\nAnswer: 13903.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 - 4*r - 6. Let o(k) = -3*k**2 - 5*k - 8. Let x(q) = -3*o(q) + 4*s(q). Let p(y) = 3*y**2 - 2*y. Give p(j) - 2*x(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000685156 to seven dps.\nAnswer: -0.0000685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/563258 - 5985883522\/10983531. Let f = h + 545. Is -1 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 6*t**3 + 25*t**2 - 1 - 23*t**2 + 3*t**4 + 9*t - 2*t**4 + 3*t to s*t + b + w*t**3 + k*t**4 + l*t**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.40024. What is k rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230148216 divided by 744?\nAnswer: 309339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6))**19*((m**(2\/9)\/m)\/m)**(-28) assuming m is positive.\nAnswer: m**(-578\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let r(b) = b + 12. Let l = 5 + -14. Let z be r(l). Put o, z, 7 in descending order.\nAnswer: 7, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -14, -119955, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 18 = -2*s, -4*h - 36*s - 19 = -39*s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3524 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186959 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55942.02 litres in millilitres?\nAnswer: 55942020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - 47 - (1 + 6 + -6)) + -9 + 1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/3*10\/(180\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 142328503 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**2 + 0*f**2 + 16*f - 10*f + 28*f**2 wrt f.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190818 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 6 (b) 1\/3 (c) 5\/2 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/3 and -35\/177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(3\/2)\/a)\/a)\/a**(2\/15))**(2\/9))**(-3) assuming a is positive.\nAnswer: a**(19\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35, -214, -535, -998, -1603?\n\"Answer: -71*i**2 + 34*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 + 0 = -z, -2*z - 4*k = 4. Suppose 0 = 36*b - 37*b + 5. Suppose -2*q = -5*d - 15, -q = -6*q + b*d + 60. Solve -2*t - t - q = z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 16 - 19 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*m**5 - 2*m**4 + 4*m**2 + 17689*m wrt m?\nAnswer: -480*m**3 - 24*m**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/44 - 34359\/(-33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 469327 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 3. Put w, -5, 1 in increasing order.\nAnswer: -5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 203 and 29?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 + -9)\/(2 - 4). Suppose -4*l + 152 + 88 = j. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7965, -13854, -19707, -25506, -31233, -36870?\n\"Answer: 3*r**3 - 5910*r - 2058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**6\/720 + 37*n**5\/120 + n**4\/8 - n**2. Let s(q) be the second derivative of g(q). Is s(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from tutattaaaattt.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1940 by -5.\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 12*k**2 + 514*k - 87. Let n be d(-43). What is the nearest to n in -0.2, -5\/3, 257, -2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-27 - (-6 - 25))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 8. Calculate u(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okd when three letters picked without replacement from {k: 1, o: 2, d: 1, s: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2061*l**2 + 17608 - 7492 - 7900 with respect to l.\nAnswer: 4122*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -52*s**2 + 70*s**2 - 17*s**2. Let v(c) = 212*c. Determine v(u(w)).\nAnswer: 212*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 10:51 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.8*2422.85.\nAnswer: 16475.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 800?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -189.6 + 196.728. Let f = 7.8278 - d. Let z = 0.7 - f. What is z rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 3:03 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d**3 - 12*d**2 - 3*d + 8. Let t(i) = -i**3 - i**2 + 1. Let l(j) = -s(j) + 5*t(j). Let h be l(-5). What is the units digit of 3\/(-6) - h\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8069111?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0263 and -5.\nAnswer: -5.0263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 y, and 1 h when four letters picked without replacement from {q: 3, o: 1, v: 6, y: 1, h: 1, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -170710 rounded to the nearest 1000?\nAnswer: -171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 76. Let i = w - -52. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -28, -52, -84, -124, -172, -228?\n\"Answer: -4*h**2 - 4*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40*(-6)\/(0 + -6). Let s = 720 + y. Round s to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:09 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, p: 2, x: 2, d: 2, c: 1}. What is prob of sequence xdtp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18632 - -36206. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o**4 + 18*o**3 - 56*o**2 + 92*o - 8. Let l(n) = -n**4 + n**3 + n**2 + 5*n - 2. Let d(z) = -3*a(z) + 12*l(z). Find c, given that d(c) = 0.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006761025812 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37 or 7112\/199?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8601 and 1403.\nAnswer: 197823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-5)\/(-4)*(-144)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h. Suppose k - 4 = -h*k. What is the units digit of 0 - 2\/k*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13741 - 13741 + 641*q.\nAnswer: 641*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 24824*c + 422004. Calculate w(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 41*r**4 + 4*r**3 - 11*r**2 - 11. Let w(k) = -83*k**4 - 9*k**3 + 24*k**2 + 21. Let h(s) = 9*g(s) + 4*w(s). Find the third derivative of h(j) wrt j.\nAnswer: 888*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.058 - -0.0116. Let v = 0.3057 - w. Let b = 0.36 - v. Round b to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 838230 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*-1 - 16\/8. Let h be 3 - (((-3125)\/(-5))\/j + -2). What is the greatest common factor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218.9*-13\nAnswer: -2845.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 1:50 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 2*l + 5. Let d(v) be the second derivative of v**4\/12 + v**3\/6 + 3*v**2\/2 + 54*v. Let y(w) = 3*a(w) - 5*d(w). Determine y(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, -32, -1 in ascending order.\nAnswer: -32, -11, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a22 - 0?\nAnswer: 1a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/16 - (1\/(-2) + 0). Let m = 12 + -5. Let d = q + m. Solve 5*n - 19 = 4*r, -r + d = 3*n + r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 8*m**2 - 18*m - 18. Give t(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 109*y + 319. Let d be q(3). Let z be ((-2)\/8)\/(3\/(-21)). Is z less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 - 2.459283575.\nAnswer: -16.459283575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.916520001 rounded to 5 dps?\nAnswer: 1.91652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.21 - 0.09. Round n to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -10*f**2 + 132*f - 10. Let m be j(13). Solve a + 2 = 2*y + 5*a, -5*y + a + m = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 157\/4 - 39. Let f = 0.47 + -4.97. Let z = 0.5 - f. What is the biggest value in p, 1\/8, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 161 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 + 3. Let h(y) = 5*y**2 + 2. Determine -3*h(a) + 2*s(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88530 is divided by 1284.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 - 427*x**2 + 647*x + 378. Determine n(-215).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 - 88.364. Let o = 1.364 + h. Let l be ((-1)\/3)\/(32\/12). Which is the third smallest value? (a) l (b) o (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Solve r*n + n - 9 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 5, -2\/7, -1\/6, 0.8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 24. Suppose 4*f - a = 230. Suppose 3*q = f - 15. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*k + 20 = 0, 4*k - 20 = -2*p - 0*p. Solve -2*o - 17 + 19 = p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 20 = -2*o. Which is smaller: o or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4418.75 + -4524. Round l to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/18*6\/4. Find the third derivative of 3*m**3 - 2*m**2 + 6*m**2 + p*m**3 - m**2 wrt m.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187657 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*y**4 + y**3 + 4*y**2 + 666.\nAnswer: -68*y**3 + 3*y**2 + 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3468 and 3.\nAnswer: 3468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in minutes?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -8*d**3 - 159*d**2 + 0*d - 53\/8*d**4 + 0. What is the derivative of a(n) wrt n?\nAnswer: -159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2418 and 49\/37014?\nAnswer: 481182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 15 = 2*x, -48*g + 10 = -46*g. Solve -5 = -3*p - 56*q + 57*q, x = -5*p + 3*q + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 11:31 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 914886 + -914885.9543853. Let m = 25.0537147 - t. Let c = -25 + m. What is c rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4719\/39 - (2 - 0 - 10) is divided by 60?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/8)*u*u**6)\/(u**(-1))**16)\/((u\/u**(-5)*u\/(u**2*u*u))\/(u**(2\/15)\/u**(-5))) assuming u is positive.\nAnswer: u**(2971\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - 0.3. Let t = 82 + -82.9. Let g = t - p. Which is the smallest value? (a) g (b) -4\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 39 = 0, -2*l + 31509 - 31582 = -5*z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66196 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 2, -2, -148, 0 in decreasing order.\nAnswer: 2, 1, 0, -2, -4, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 6:59 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -368 - -363. Which is the fourth smallest value? (a) q (b) 1.5 (c) -2\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11639.\nAnswer: 103, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 204*q**3 + 4*q**2 - 4*q + 7. Is o(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5745031394.\nAnswer: 2, 2872515697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - u - 1. Let k(m) = 90*m**2 - 3*m - 4. Let t(c) = k(c) - 5*v(c). Is t(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1667*o**4 - 3*o**3 + 9635*o**2 + 1.\nAnswer: -40008*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iddd when four letters picked without replacement from dididddiddddddd?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270063 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 396 - 4 = 99*v. Solve -5*i = -4*u + 13, -7*i - 32 = v*u - 3*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172834 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + 3 - sqrt(6)\/(2*sqrt(2)))**2 + (-5 + (sqrt(1080)*-1)\/sqrt(10))**2.\nAnswer: 69*sqrt(3) + 595\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1464?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 125*o**2 - o + 28. Calculate l(125).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 28 = -3*l, -k = -4*l - 36 + 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 144, 314, 484?\n\"Answer: 170*j - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1074, 8482, 28598, 67776, 132370, 228734, 363222?\n\"Answer: 1059*m**3 - 5*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 9*k - 7. Suppose 24 = -13*z + 10*z. Let n be l(z). Let o(a) = a - n - 7 - 3. Calculate o(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l + 207 - 183 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22765707, 22765725, 22765743, 22765761?\n\"Answer: 18*y + 22765689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 165*i**2 - 855*i + 9025.\nAnswer: -5*(i - 5)*(i + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -676 (b) -0.1 (c) -5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 390915251 to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 1643.9.\nAnswer: 1644.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - w, -3*r + 7*r = 5*w. Put 1, r, 4, -3 in descending order.\nAnswer: 4, 1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 9*y - 6. Let f be z(-7). Solve -2*l - f - 2 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392529381 to the power of 1\/3, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**2 + 1653*h**5 + 5*h**3 - 1635*h**5 - 3*h**3 + 5*h - 4*h wrt h.\nAnswer: 1080*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 1. Let o(s) = -s**2 - 34*s - 65. Let i be o(-32). Let d(g) = -4*g**3 + 2*g**2 + 2*g + 6. Determine i*d(x) - 6*r(x).\nAnswer: -2*x**3 - 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371348*o**2 - 1352357*o**2 + 5 - 5.\nAnswer: -981009*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 - 166. Let q = 44 + t. Let x(s) = -s**2 - 2*s + 7. Give x(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 5*g - 2. Let d be c(4). Solve 5*x = -3*r - 2, d = 5*r - x + 4*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 238, 1, -4, -114, 2.\nAnswer: -114, -5, -4, 1, 2, 3, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 8, -7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 282 and 8037?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*(sqrt(165)\/sqrt(3) - sqrt(55))*-5)\/(2*sqrt(125) - 4*(sqrt(5)*2 + sqrt(5))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 53*k**3 + 14*k**2 - 7*k + 2. Let l(n) = 17*n**3 + 4*n**2 - 2*n + 1. Give 7*l(y) - 2*v(y).\nAnswer: 13*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*o - 50*o - 12*o**2 + 0*o**2 + 22*o.\nAnswer: -12*o**2 + 137*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4559608850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5573*g + 5778*g - 139968 = 12323*g for g.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(8\/5)\/c*c))**4\/((c\/c**(1\/10))\/c*c\/((c**6\/c)\/c*c)))**(-49) assuming c is positive.\nAnswer: c**(1127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3484 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061496741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 12 = -10, -8 = -4*r + 2*l. Let k(b) = b + 2. Let t be k(-5). Put r, -4, t, 0 in descending order.\nAnswer: r, 0, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-10 + -5) - (52 + -1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.085 and 3522101.5.\nAnswer: 3522101.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = -8. Suppose -4*j = -c*j - 105. Let f = -16 + j. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/9, 0.1, 0.9, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 96 = -2*q. Suppose 5*n = -3*t, -4*t - 21 + 56 = -5*n. Let z = 3 - -5. Solve t*y - z = -3*a + y, a = 4*y - q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 + 274 - 55*s**2 - 89 - 87.\nAnswer: -55*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 26257 - 3562 = 0. Suppose -x - 2232435 = 2*z. What is z rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28569.278 to the nearest 1000.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 3381971908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7758*-49900.\nAnswer: -387124200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*d**3 - 112*d**2?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5)*15\/(-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*2*2 + sqrt(68))\/(sqrt(704)\/sqrt(11)) + 4)**2.\nAnswer: 10*sqrt(17) + 681\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33750.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -8. Calculate the remainder when q is divided by 3\/(-2)*(-4)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htk when three letters picked without replacement from hhhkkht?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(432)*4)**2 + -1 + -4.\nAnswer: 248827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/2700 and -173\/2700.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/130912 and -99\/50?\nAnswer: 3272800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 20.\nAnswer: 39\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(84)\/(sqrt(12)*-3*-4) + 3*sqrt(28)*6)**2 + 0 + -2.\nAnswer: 1312711\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 40 = 10*k - 4*j, -5*j = -2*k - 13. Let s be (k - -10 - -1) + 55*-4. What is s rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 20*q - 26. Let k be u(2). Suppose -36 = -10*y + k. Solve 15*n - 16*n = y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 + 0.09. Which is greater: o or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.1, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s + 3115. Let p(l) = -3*l + 1555. Determine -5*p(v) + 2*q(v).\nAnswer: -v - 1545","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 19*h. Let j(l) = -6*l**2. Let z(o) be the third derivative of -17*o**5\/60 - o**2. Let i(t) = -11*j(t) + 4*z(t). Give a(i(v)).\nAnswer: -38*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -19*f + 23. Let h(k) = -9*k + 11. Let l(g) = -9*h(g) + 4*p(g). Is l(7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 2, 4, 22 in descending order.\nAnswer: 22, 5, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2861 + -3414.57. Let j = z - -556. Let d = 1.74 - j. Round d to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.5925 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeqqqqeejeqqqf. Give prob of sequence jef.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdri when four letters picked without replacement from iiiiiiidiririididi?\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 d, and 1 k when four letters picked without replacement from kzhmhhzdh.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 - 32122012130?\nAnswer: -32122013001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -76442147\/14 and -5460152 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 608 + -606. Suppose 0 = 5*t - 3*i - 22, 0 = -k*t + 12*i - 9*i + 16. Factor 2\/5*v + 12\/5 - 2\/5*v**t.\nAnswer: -2*(v - 3)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**4\/6 - 397*s. Let a(n) = 7*n + 4*n + 9*n. What is t(a(l))?\nAnswer: -800*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 1477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0531257046 to three decimal places.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1156374, -3\/4, -1\/4?\nAnswer: -1156374","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1210*q + 1220. What is the units digit of z(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16589 - -17093. Calculate the greatest common divisor of b and 1176.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 438591.1 years to centuries.\nAnswer: 4385.911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1970 is divided by 403?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.38 - 0.12. Let h = o - -6. Let x = 0.6 + h. What is the second smallest value in 1, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 0.3 (c) -1.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38308 or -36928?\nAnswer: -38308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i + 2. What is r(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h. Let f(x) = 512*x**2. Calculate k(f(i)).\nAnswer: 2048*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + -1)**2 + sqrt(48)\/sqrt(4).\nAnswer: -18*sqrt(3) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 3.1. Let b = 1 + u. Let c = 0.4 + -4.4. What is the third biggest value in 0.3, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/600 + (-28)\/42 and 31\/16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6277879889 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 0*s + 1 - s + 2*s. Let y(d) = -4*d - 7. Determine 5*k(t) + y(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**3 + 23*l**2 - 427*l + 1657. Determine n(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 11*h = -30. Let j be (126\/12)\/(h\/(-4)). Let g(k) = 11*k**2 - 10*k + 10. Is g(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 40.\nAnswer: -29\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 21 in decreasing order.\nAnswer: 21, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 - 166 = 5*h. Let m = 51 + h. Suppose 4*y = -5*k + 29, -2*y - 13 = -4*k + 5. What is the smallest common multiple of m and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2560275.\nAnswer: 3, 5, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1048244?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2577 divided by 200\nAnswer: -2577\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 1250, 2359?\nAnswer: 3468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/4*4\/(-3). Let i be 6\/4*(-20)\/d. Let y be (-6)\/2*40\/(-3). Calculate the highest common divisor of y and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 30*v**2 + 2*v + 22. Give m(-3).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137230 and 8170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-9 + 8) - (0 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -88 and -78.91.\nAnswer: -166.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*3\/(-60))\/(2289\/(-545)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -7*n**6\/3 + 17*n**4\/4 + 65*n**3 + 2*n - 429. Find the third derivative of c(y) wrt y.\nAnswer: -840*y**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.38 + 28. Let u = g - 0.12. Let i = 44\/161 - -2\/161. What is the closest to -0.2 in 5, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n - 2. Suppose -53 = -17*h + 15. Let u(r) = 7*r + 2. Calculate h*u(s) + 5*p(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 3*o - 3. Let l(k) = -k + 1. Let u(c) = -6*l(c) - 2*q(c). Let a(v) be the first derivative of 17*v**3\/3 + 2050. Give u(a(y)).\nAnswer: -578*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s - 10. Let m(d) = -30*d + 27. Let l(t) = 8*m(t) + 22*v(t). Let w(f) = 11*f**2 + 2. Calculate w(l(z)).\nAnswer: 44*z**2 - 176*z + 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 1\/5, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, r: 4, o: 2}. Give prob of picking 2 o and 1 r.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3)*1)\/((-2483534)\/(-372)). Let v = f + 2683731\/1762508. Calculate the common denominator of v and 77\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645856359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/15946568 and -29\/103652692.\nAnswer: 207305384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(8\/9)\/t)\/t**(-1\/4)*(t*t**(-2\/3))\/t*t*(t\/((t\/t**(-4\/3))\/t)*t)\/t assuming t is positive.\nAnswer: t**(5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -1892*t**7\/35 - 7891*t**3\/6 + 2021*t**2. Differentiate d(w) with respect to w.\nAnswer: -45408*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (5 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -573 + 603. What is the lowest common multiple of (426\/21)\/2 - (-11)\/(-77) and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28013 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 306\/81 - (-4)\/18. Let u(k) be the first derivative of 0*k - 1\/2*k**l - 1 + 0*k**2 - 2\/3*k**3. What is the third derivative of u(s) wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - 80346*l + 803662. What is a(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(11*n + 8*n + 23*n) + (3*n + n - 2*n)*(-1 + 2 + 1) + n - n - n.\nAnswer: 87*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5438 divide 410048380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 - -0.6. Let k = 10 + -15. Let n be (-7 + 9 - 1)*(-1)\/1. What is the nearest to n in x, k, 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*y**2 + 106*y**2 - 66*y**2 + 11*y**3)*(-1 + 1 - 3).\nAnswer: -33*y**3 + 42*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54, -95, -122, -129, -110?\n\"Answer: g**3 + g**2 - 51*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -r - 0. Is (-138)\/(-9) - (-2)\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksk when three letters picked without replacement from {k: 5, s: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 2*o + o)*(0*o + 0*o + 2*o) + (-7 + 4*o + 7)*(0*o + 3*o - o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9215806 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 0*n - 4\/3*n**3 + 1 - 5\/2*n**2. What is the second derivative of k(h) wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/130)\/((-7)\/(-20))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -7*l**2 + 21 + 3*l**2 + 7*l**2 + 6*l**2. Let o(k) = -6*k**2. What is i(o(p))?\nAnswer: -108*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -31324 less than or equal to -31347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 9*k - 3*o = 38, 12 = -3*o. Let x be 3 - k\/((-52)\/(-48)). Suppose 13*l + 12 = x*l. Let m(j) = j - 1. Let t(w) = 2*w - 6. Determine l*m(f) - t(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 86 = 4*w. What is the highest common factor of w and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 25*b**2. Let p(i) = 45*i + 1. Let n(t) = -411*t + 7. Let u(f) = -n(f) - 9*p(f). Determine g(u(m)).\nAnswer: 900*m**2 - 4800*m + 6400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 7:01 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6. Suppose 5*y = -17 + 7. Put y, -0.1, n in decreasing order.\nAnswer: n, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004695 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a micrometer in nanometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 10*z + 3. Let g(u) = 4*u + 2. Let f be g(-3). Let s be a(f). Suppose -24 = s*j - 138. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*y - 952 = 0, 3*o + 2*y + 3*y - 2876 = 0. Suppose -o - 601 = -8*i. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (51 - 31) - (3 - 15)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 2*j + 5*h, 205*j = 203*j - 2*h - 28 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 9:52 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**3 + 9*h**2 + 15*h - 17. Let w(m) = -4*m**3 - 4*m**2 - 8*m + 9. Let d(u) = 3*c(u) + 5*w(u). Calculate d(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9*i**3 - 21*i**2 - 19*i. Let n(p) = 4*p**3 - 10*p**2 - 9*p. Let a(y) = -6*k(y) + 13*n(y). Calculate a(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (168\/130)\/(-1 + (-238)\/(-140) + -1). Suppose 0*f - 26 = 4*o - 5*f, -2*o - 16 = -4*f. Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.44193 - -0.1321. Round b to 2 dps.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 10*q + 8 = 7*q, -5*m + 56 = q for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5109 is divided by 232.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w = -8*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 7*d - 19667230. Let i(g) = -g. Give q(i(f)).\nAnswer: -f**2 - 7*f - 19667230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 80*t**2 - 81*t.\nAnswer: t*(t - 81)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 956926 is divided by 239223.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**(1\/3)\/o)*o)**(47\/4))**(-2\/91)\/(o**5*o*o*o**6\/o*o)**(-10\/9) assuming o is positive.\nAnswer: o**(22109\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42396923?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -11. Let q = 16 - v. Let y be (1 - 8\/2)\/(4\/(-8)). Solve y = j + q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6132075 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 3*d - 8*d - 3*i, -5*i = 15. Let p = -193 + 269. What is the highest common factor of p and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*k + 18 = 0, -5*t = 4*k - 89 - 45. Suppose -t = -3*u - 2*u. Solve -2*a = g - 7, 4*a - g = -1 + u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55556 - 248279765\/4469. Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 0. Let g = -5.1 - -5. Let c = 19 + -58\/3. What is the nearest to g in -2\/9, c, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501512 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79953612?\nAnswer: 2, 3, 23, 127, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 384 and (5 - (-6084)\/16) + (25\/20)\/(-1)?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 659017748?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + x**3 - 2*x**3)*(3*x - 2*x - 3*x)*(5*x - 3*x - x).\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36437 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13488154 or 13488153?\nAnswer: 13488153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, x: 5, d: 4}. What is prob of sequence xzx?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 8*a**2 + 3*a. Let j be t(-7). Let l be (-1589)\/(-35) + 2\/(-5). Let d = l - j. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 20*k - 11. Determine r(18).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 0. Suppose 4*p - 34 - 82 = 0. Let s be (-91)\/12 + 1 - p\/(-116). Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68972768?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 9:04 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809 is divided by 196.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57913\/3 + 19823. Let z = 514 - s. Let f = -121 - -117. Which is bigger: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (62*24\/12276)\/((-2)\/(1*6))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46900, -86647, -126394, -166141, -205888?\nAnswer: -245635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 362 - 299. What is the highest common factor of 81 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.077 and 3109654429761?\nAnswer: 3109654429761.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*c**3\/5 + 1992*c**2\/5 + 55593*c\/5 - 408726\/5.\nAnswer: (c - 6)*(4*c + 261)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51857619.\nAnswer: 3, 11, 71, 22133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 28*v**2 - 2756*v - 5630. Determine y(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3772401329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g + 6. Let u(c) be the first derivative of 4*c**2 - 5*c + 597. Determine -4*r(h) - 5*u(h).\nAnswer: -12*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**4\/4 + n**2. Let t(h) = h**2. Give t(c(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10106739*q**4 - 4*q**2 + 25629059.\nAnswer: -40426956*q**3 - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 13*b**2 + 113*b + 22. Let a be p(6). Solve -5*s = 2*i + 5, 3*s = 5*i - 10*i + a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -7, -1\/2, -10, -0.3 in descending order.\nAnswer: 6, -0.3, -1\/2, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 157, 158, 169, 196, 245, 322, 433?\n\"Answer: x**3 - x**2 - 3*x + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101101110101101100 (base 2) in base 9?\nAnswer: 1304660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u**3 - u**2 - u + 2. What is the hundreds digit of a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4538*i - 4145. Give x(1).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5528677556 to the nearest integer?\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -739413922 * -0.5.\nAnswer: 369706961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -132004, 898, -3 in descending order.\nAnswer: 898, -3, -132004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93163*o**2*t + 4*o*t + 3*t - 4378 wrt o?\nAnswer: 186326*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q = 28*q + 90869 - 97367 for q.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -56?\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -51. What is the remainder when m is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-12) + (-7)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 9600.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.495905, -0.6, 0.3?\nAnswer: -0.495905","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (11 - 6)) + 8 + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31*c*j**2 - 942*c*j - 233148722*c - 2*j**2 - j wrt j.\nAnswer: -62*c*j - 942*c - 4*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000043934 rounded to seven dps?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4424, -4400, -4376, -4352, -4328?\nAnswer: -4304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 2*g - 10 + 3 + 14. Let i be d(3). Find the third derivative of 4*l**4 - 24*l**2 + i*l - 4*l + 30*l**2 wrt l.\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/24)\/((-26)\/16)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 565.7 * -4.\nAnswer: -2262.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6 - 9*w + 5 + 5 - 9*w**2 - 5. Suppose 7 = 4*s - 9. Let i(d) = -5*d**2 - 5*d + 6. Calculate s*o(l) - 7*i(l).\nAnswer: -l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -14\/3*s**3 + 0*s + 0*s**5 + 2\/7*s**7 + 0*s**4 + 0*s**6 + 11 + 0*s**2. Find the third derivative of l(x) wrt x.\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -3, 49, 2\/15 in decreasing order.\nAnswer: 49, 5, 2\/15, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62172 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380*r + 382*r + 377*r - 1822*r + 306*r + 380*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2919505271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -537 + 7*t**2 + 537.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (4 - -3) + -2. Suppose f + 5*h = t, -4*f + f - h = 11. Let r = f - -24. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(117)\/((sqrt(288)\/sqrt(8))\/sqrt(4)).\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -144, 4, 0, -8144, -2 in descending order.\nAnswer: 4, 0, -2, -144, -8144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/(132\/168*7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 36*s - 303. Let q be r(23). Suppose -h - 18 = -3*h. Let p be (78\/h)\/(4\/6). Sort 1, q, p in decreasing order.\nAnswer: p, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (517529\/6715 - 77)\/(-6).\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1575 - 435 = 38*s. Let v(l) = -3*l. Let r be v(-5). Calculate the highest common divisor of r and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*j + 72*j**2 - 183*j**2 + 77*j**2 to the form w*j + h + q*j**2 and give w.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150227 is divided by 5532.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 80, 162, 254, 362, 492?\n\"Answer: b**3 - b**2 + 78*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23862, 23849, 23836?\n\"Answer: -13*m + 23875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-82)\/(-30) - 2\/4 and 5 + 0 + 375\/(-48).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -17*q. Let u(k) be the third derivative of k**4\/24 + 30*k**2. Calculate l(u(t)).\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r. Suppose -3*x + 11 + 55 = 0. Suppose 5*q - 4*i + 28 = -0*i, 0 = -5*q + i - x. Let y(z) = -z - 1. Let o be y(q). Determine l(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**1)**(2\/67)\/((o**(-4\/9)*o)\/o*o**(-3))*o\/(o*o**(2\/3))*(o\/(o*o**(-2)))\/o*(o\/(o\/o**1))**(-5\/2) assuming o is positive.\nAnswer: o**(1649\/1206)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(13) + 0)*-1)*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/290016 and 125\/4608?\nAnswer: 4640256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 104, 46, -90 in ascending order.\nAnswer: -90, -1, 0, 46, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 50 - (-26 + 40) - -22?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 + -33. Let m = 2 - 3. Calculate the remainder when x is divided by (-4)\/(-2) + 7 + m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12521\/87647 - (64\/7 - -1)) + -55?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + b**2 + 4. Let r be f(2). Suppose r = -22*q + 319 + 2145. What is the smallest common multiple of q and 140?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(4*sqrt(25)\/sqrt(5))*1.\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v. Let a be s(1). Suppose 5*o - 2*c - 8 = 3*o, 0 = -5*o + 3*c + 24. Let t = o - a. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/((-2)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 33. Suppose -8 = -11*y + g. Solve -r + y = -2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28258 - 28255. Put m, -2\/9, -5, 0.03 in ascending order.\nAnswer: -5, -2\/9, 0.03, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7984 and 22279352?\nAnswer: 3992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3569268*v**4 - 5232537 wrt v?\nAnswer: 14277072*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 5*l + 25. Suppose l*r - 8*r + 7287 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4c5 (base 14) to base 16\nAnswer: 3bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 58*q + 105*q - 51*q)*(-3 + 2 - 1).\nAnswer: 8*q - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8453641 and 329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5760*k + 18443. Determine y(4).\nAnswer: -4597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 3*s**3 + 4*s)*(s**2 + 1 - 1) - 6*s**5 - 16*s**5 + 5*s**5 - 70*s**4 + 70*s**4 + 11*s**5.\nAnswer: -9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y - 63. Determine p(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 135?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -20468 (base 10) to base 11\nAnswer: -14418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -355*i + 54*i + 43*i + 60*i - 258*i as j*i + z and give j.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let p = 17 - 16.8. Are r and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156 - -1089\/7. Let r = -13\/14 - n. Sort 0.3, r, 0.05.\nAnswer: r, 0.05, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 72 = -249. What are the prime factors of s?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*m**2 - m**4 + 4*m**4 - 41*m**6 - 3*m**4 wrt m?\nAnswer: -4920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 9 + 7. Suppose 27 + 6 = 3*f. What is the least common multiple of j and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l - 2*y = 26, -3*l + 45 = 3*y. Let b(k) = k**3 - 15*k**2 + 13*k - 14. Let u be b(l). Sort u, 1, -5, 5 in decreasing order.\nAnswer: 5, 1, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18799 - -18795. Let z(m) = 3*m**2 + 4*m + 7. What is z(a)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (5 + -21 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**3\/3 + 7*d**2\/2 + 7*d + 1. Let k(s) = 2*s**2 + 0*s**2 + 9 + 5*s + 6 + 10*s. Let q(v) = -3*k(v) + 7*l(v). Give q(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 7:47 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 5890.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) + 14\/4. Suppose -6*y = -n*y - 514. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -12*f**2 - 4*f + 6. Let x(g) = g**2 + g - 1. Let t(p) = -3*r(p) - 12*x(p). Differentiate t(h) wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 4*n**2 + 2*n + 3. Let i be m(-4). Let o be -3 - -1 - 14\/i. Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 239.5 + -239. Let c = 3 + -2. What is the nearest to c in -0.3, q, -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Let c(t) = t**2 + 1331*t - 12064. Let g be c(9). Sort g, 3, q.\nAnswer: g, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by (-2 + 6)*(-51)\/(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/23))**(1\/8)*d**(14\/5)\/d**27)**(4\/27) assuming d is positive.\nAnswer: d**(-11137\/3105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -154*d**2 - 18*d**3 + 154*d**2 + (-d - 2*d**2 + d)*(d - 6*d - 2*d) - 3*d**3 - d**3 + 2*d**3 as l*d + c + i*d**3 + n*d**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/(-15) - 4\/6. Suppose 2*b = -3*r - 0*r + 4, r = -l*b. Is 34 + b - 6\/(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-4 + 1) - 4) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, x: 2, e: 2}. What is prob of sequence exxe?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 155*x**3 - 52*x**2 + 11218*x + 1?\nAnswer: 930*x - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/o**(3\/7)*o**(-2\/7))**(1\/16) assuming o is positive.\nAnswer: o**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7) + sqrt(7) + 5 + sqrt(7)*2 - (1*sqrt(77)*2)\/sqrt(11))*1 + 4.\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13892253299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -17*h - 18. Let q be p(-9). Let j be 3 - 1\/2*194. Let a = q + j. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2)*-1)\/((-9)\/(-6498)). Let b = s + 3972\/11. Let q = -271\/3 - -92. Sort q, b, 0.1 in decreasing order.\nAnswer: q, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166370 divided by -110?\nAnswer: -116637\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*m - 94*m = -88*m - 6300 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-49))\/(4\/42)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19360426\/377 + -51354. Find the common denominator of a and 56\/87.\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825670 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1823 is divided by 595.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/27*(-9)\/15. Which is the closest to 0.1? (a) -5\/23 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -44*s - 2. Let j be w(1). Let o = j + 98. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/(-6)*(4 + (-240)\/56). Suppose 0 = -g + 2. Suppose -m = g*v + 4*y - 9, 29 = 4*v - 5*y. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 118, 236, 354, 472, 590?\n\"Answer: 118*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**4)*x*x**(-5)*(x\/(x**(2\/31)\/x))\/x*x*x*x*x*x**(-2\/11)*x)\/((x*x**(-7\/3)*x**(3\/13))\/(x**8\/x*(x*x\/(x\/(x*x*x**8))*x)\/x)) assuming x is positive.\nAnswer: x**(224171\/13299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 6*z + 25. Suppose 17*q = 136 - 119. Let c(a) = -a + 1. Calculate q*u(b) - 6*c(b).\nAnswer: 2*b**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.25957 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2533 and -3?\nAnswer: -7599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135.073231 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 11*n**2 - 12*n - 2. Let v be g(12). Is (-79)\/(v*3\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 653 divided by 9\nAnswer: 653\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -19\/5. Which is greater: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -92082?\nAnswer: -1\/15347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 35 = 14*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 13, y: 1}. Give prob of picking 1 x and 1 y.\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 - 5*d**3 + 6*d**3 + (2*d**2 + 2 - 2)*(6*d - 4*d + 17*d))*(2*d**2 - 5*d**2 + 4*d - 2 + 2*d**2 + (-4 - 4*d + 4)*(2*d + d - d)).\nAnswer: -315*d**5 + 140*d**4 - 70*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - (-638 - -7)) + 1?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154 (base 6) to base 5.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 9 - (2 - -3) - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 52. Let u(h) = 10*h - 59. Let g be u(r). Suppose -6*m + 5*z + 695 = -m, -m = z - g. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.4*-2592\nAnswer: 32140.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iifyyiiiyyy. Give prob of picking 4 y.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -764, -3057, -6878, -12227, -19104?\n\"Answer: -764*f**2 - f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 202077347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -39. Suppose -191*m = -195*m + w. Suppose l = -m + 21. What is the remainder when 58 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 132*u*w**3 + 2*u*w**2 - 4*u*w - 57*u - w**3 - 1786*w wrt u.\nAnswer: 132*w**3 + 2*w**2 - 4*w - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1338333 or 6691659\/5?\nAnswer: 1338333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38605?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, 15, 51, 123, 243, 423, 675, 1011?\n\"Answer: 2*v**3 - 2*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 30 = 2*z, -2*p + 3*z = -0 - 30. Let g(d) = -d**2 - 7*d + 35. Let t be g(-10). Solve t*l + 0*l = -p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-10)\/12*-18)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 50 = 5*h. Suppose -o - 6 = -h. Calculate the remainder when 67 is divided by 10 + (10 - 2 - o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 j, and 1 y when three letters picked without replacement from {k: 4, f: 1, w: 1, y: 2, j: 4, s: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1106)\/(-6) + (-2)\/(-3). Let i = g - -1008. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 155*x - 12. Determine k(-1).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44577 and 1053.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1196 = 11*w - 15*w. Calculate the remainder when w is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*m - 385, r + 53 = 3*m - 37. Let o = 132 + r. What are the prime factors of o?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84287700 divided by -374612\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 9*y - 40. Suppose 1 = -y*k + 25. Suppose 0*c = k*c - 618. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 26 = -4*w. Suppose 4*g - 17 = -5*b + 11, -b = 5*g - w. Solve 5*d = -8 - g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80040 and 408.\nAnswer: 1360680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-90)*(231\/(-49))\/11.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-12))\/((-232)\/(-60) + -4). Let g(l) = 154*l**3 - 56*l**2 + 56*l + 56. Let f(s) = 14*s**3 - 5*s**2 + 5*s + 5. What is t*g(o) + 56*f(o)?\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-9)*12*14\/1344?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8742250.\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -1\/12*j**4 + 0*j**3 + j**2 + 0*j + 0. Let u(o) = -3*o. Give c(u(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**3\/8 + 19*o**2\/4 - o\/8 - 19\/4 = 0.\nAnswer: -38, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmazcmmlmzcclaacl. What is prob of sequence aa?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4410, -4340, -4268, -4194?\n\"Answer: d**2 + 67*d - 4478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43.799984 + 43.8. What is o rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100100110011011110010 (base 2) in base 15?\nAnswer: c97caa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15283649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 68\/3 of a decade?\nAnswer: 2720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, t: 1, e: 1, h: 4, y: 2}. Give prob of sequence hxh.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*x - 270, 0*x = -x - 1. Does 30 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-41 - -7) - (-45 + 10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1949, -7862, -17713, -31502, -49229?\n\"Answer: -1969*s**2 - 6*s + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 75*g**2 - 20*g - 300.\nAnswer: 5*(g - 2)*(g + 2)*(g + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -34. Let s be -3 + 7 + 117\/(-24) + 1. Let p = 2.4 + -2. What is the third smallest value in p, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 11 - 8 - (2 - 4 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*u + 230, 0 = -z - 3*u + 67 + 14. What is the remainder when z is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 79*s + 455 + 1514 = -1023 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60 - -307058?\nAnswer: 306998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -11*s**3 - 5*s**2 + 19*s - 1. Let h(b) = 9*b**3 + 3*b**2 - 15*b + 1. Let x(z) = -4*h(z) - 3*w(z). Calculate x(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = -3*f, -5*j - 18 = -0*f + f. Find the second derivative of -24*u**2 - 2*u**2 - 82*u + 16*u - 3*u**f wrt u.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 898980 and 201910908?\nAnswer: 1009554540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1775721 times 0.13\nAnswer: -230843.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q + 8. Does 27 divide y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -2c01c803?\nAnswer: 2c01c804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.032967 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7715, -7711, -7705, -7697?\n\"Answer: f**2 + f - 7717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 13 = 14. Let c = l - -6. Let a = 0.63 - 0.93. What is the biggest value in c, a, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-15) + 47\/15 + -1. Let p(r) = -r**3 - 6*r**2 - 5*r + 2. Let g be p(-5). Solve -3*z = g*a - 0 - 4, -h*a = -2*z - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1366*d = 1350*d + 1392. Suppose 0*p - 150 = -5*p. What is the remainder when d is divided by p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*n + 242*n - 63*n - 45*n.\nAnswer: 60*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m**5\/5 - 88*m**4\/5 + 858*m**3\/5 - 252*m**2 - 432*m\/5 = 0 for m.\nAnswer: -12, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57043.\nAnswer: 7, 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n*n*n**(3\/2))\/(n\/((n**3*n)\/n)*n))**(16\/3))**(-17) assuming n is positive.\nAnswer: n**(-1768\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 13 - (0 - 12 - -9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k*y - 6*k - 109*y**2 + 3*y + 87 wrt y.\nAnswer: 3*k - 218*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 5*i + 322833 = 5*q + 323145, 5*i = 4*q + 93 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53074?\nAnswer: 2, 7, 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 6536, 2, 4, -3 in decreasing order.\nAnswer: 6536, 4, 2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 8\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 74250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.105909933 rounded to three dps?\nAnswer: 0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24*(4 - 44\/12) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-4\/7))\/i*i**(1\/3)\/i)\/(i*i**(-1\/6)*i**(-2\/11)) assuming i is positive.\nAnswer: i**(-115\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y + 15 = 0. Let l be (-1)\/((-15)\/(-6) + -2). Let i = l - -9. Solve y*o + 3*j = -15, o - 2*j + 21 = -i*j for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -19. Let f = y + -10. What is the tens digit of (f\/9)\/(2\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 130*5\/((-50)\/(-32)). Let l = y - 111. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-12)*138\/10. Let z = 13314 + -13305. Which is smaller: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*y + 12, 5*x + y + 14 = 2*x. Let t be ((-1)\/x)\/((-8)\/120). Calculate the remainder when 47 is divided by (-4 - 92\/(-20)) + (-37)\/t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1100001111010101011101?\nAnswer: 1100001111010101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**3 - 2*d**2 + 1. Let r be 3\/(-5) - 6\/15. Let v be p(r). Suppose -2*b = 2*q - 5*b - v, -4*q - b = 1. What is q rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 + -82.2. Suppose -h - 4*w = -22, -3*w + 6 = 5*h - 36. What is the fourth smallest value in 4, h, 2\/3, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15998 less than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-230)\/(-138)*12\/(-130).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3816 + 5?\nAnswer: 381b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*c**2*i**2 - 1202*c**2 + c*i**2 + c*i + i**2 + 22529 wrt c?\nAnswer: 18*c*i**2 - 2404*c + i**2 + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150859 - 150427 = 36*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9670532 to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/36*(-5)\/75*-9. Which is the smallest value? (a) 1 (b) k (c) -24 (d) -5 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (9 + -5 - (1 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 5*u**4\/2 - 2*u**3\/3 + u**2\/2 + u + 1. Let q be g(2). Suppose 664 = 3*d - h - q, 10 = 5*h. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 11*b**2 - 12*b + 9. Let r be a(-12). Suppose 6*v - 33 = -r. Solve 3*m = -4*y + 23, -m - 17 = -y - v*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3399b (base 12) to base 11\nAnswer: 47772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5751\/(-45))\/((-4)\/20). Let t = 1184 - p. List the prime factors of t.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrw when three letters picked without replacement from {z: 9, w: 3, r: 4}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -1) + (99 + 4)\/1. Let l be (30\/(-20))\/((-3)\/z). Solve -2*t - 2*t = 3*h + 35, 0 = -5*h - 5*t - l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 190, 165, 120, 55, -30, -135?\n\"Answer: -10*g**2 + 5*g + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 6 + (1 - (4 + -6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40367242 + 0.04974?\nAnswer: 40367242.04974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 291536 and 336?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2*j + 1587 = 1574, -5*n = 5*j + 45 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4620\/(-189))\/(-44)*18. Determine g so that -b*g - 5\/3*g**2 + 35\/3 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 4*b - 10. Give r(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-348)\/9 + (459 - 420).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*1665\/720*8)\/((-6)\/(-2))\nAnswer: -74\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38.48 - 34.48. Which is the fifth biggest value? (a) i (b) 1 (c) 5\/7 (d) 0.09 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6 - (-1)\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*f - 41 = 0, -q - 10 = -2*f + 9. Find the common denominator of q and -50\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37730*t**3 - 52 + 52 + 37722*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109*q + 7360*q**2 + 366*q**3 - 144*q**3 - 7363*q**2 wrt q?\nAnswer: 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82515706 a multiple of 542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 31972.54895 and -1.\nAnswer: 31971.54895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 535385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 6 - 2, 5*h = 4*z - 8. Suppose -2*p + 6 = -h*p - 4*u, -2*p + 5 = -5*u. Solve -9 = p*t + 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 + 27*f**2 - 13*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3423*z = -239*z + 911*z - 1546*z - 34376 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3628*g - 3626*g. Let b = -6 + 24. What is the remainder when b is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 3. Let s = 3181 + -3173. Which is the closest to p? (a) 2\/7 (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.6, -1218, 3, 26, -0.3, 3\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/18 and 95\/1046.\nAnswer: 9414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30041438731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3828 + 0?\nAnswer: -3828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84 + (26 - 111))*(-10)\/(-14)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1112120 - 20?\nAnswer: 1112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxnx when four letters picked without replacement from qxqjxoojjqxjxojnn?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -1. Suppose 0 = -l*n + 5*n + 400. Let z(i) = 669*i + 20092. Calculate the remainder when n is divided by z(-30).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*q - 1137 + 1137)*(-11 + 11 + 3*q + 3*q**2).\nAnswer: -66*q**3 - 66*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + f + 141 = -237, 4*f = 0. Calculate the remainder when g is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -20*r + 165. Is 50729\/r + 1 + 35\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1257071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 667760468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 291 + -295. Let y be 0\/(-1) - (-3)\/g. Let o = -6 + 8. Put o, 5, y in decreasing order.\nAnswer: 5, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(224))\/sqrt(7) + sqrt(32) + sqrt(192)\/(sqrt(48)\/sqrt(8)))**2 - (-2*(-6*(sqrt(32) - (sqrt(32) + -3)) - sqrt(32)) + 2).\nAnswer: -8*sqrt(2) + 1114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 10:09 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1154803519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1738 - (8\/4 + 1 + 2). Let l = v + -425. What are the prime factors of l?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/11*4455\/1620)\/((-5)\/30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((23\/(1656\/264))\/(44\/8))\/(1*11)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 - 6*h**2 - 11*h - 5. Let b be l(5). Suppose -8*y + b + 40 = 0. Suppose 8*i = y*i - 608. Is i a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - 100011111111010?\nAnswer: -100100000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 2\/71, -5, 3?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -6 - (-12 - -9) - 1. Suppose 21*h = o*h + 59835. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -3a?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h. Let z(p) be the third derivative of -11*p**4\/24 + 3*p**2. Give m(z(d)).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at most -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-3\/4)*x*x)\/x)\/x**5)\/(x**1*x*x**6*x) assuming x is positive.\nAnswer: x**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v + 1. Suppose 3*y + 4 = -k - 6, 4*y = -k - 14. Let r = 22 + -11. Let z(j) = 12*j + 2 + r*j - 10*j + 0. Determine y*z(o) + 9*c(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -62*p + 65*p. Suppose -o = -p*o. Suppose 4*d - 9*d + 490 = o. Calculate the remainder when d is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**3 - 7*p**2 + 3*p + 14. Let t(d) = -11*d**3 + 16*d**2 - 7*d - 29. Let m = 177 + -168. Let j(u) = m*k(u) + 4*t(u). Determine j(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -4433*z**7\/210 + 2111*z**5\/60 - 16*z**2 + 21*z - 1. What is the third derivative of w(r) wrt r?\nAnswer: -106392*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a872b (base 14) to base 11\nAnswer: 596287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 17*m + 18*m - 14 = 0, a - 19 = 4*m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1036\/(-252) - (-27)\/243. Let q(w) = -w**3 + 8*w**2 + 2*w - 12. Let u be q(8). Sort u, 0, h, -3 in descending order.\nAnswer: u, 0, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*m - 8, 13 - 5 = 4*i. Suppose m*u = 8*u - 12. Let x = 64 + -61. Calculate the remainder when u is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2\/9 (c) 0 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 9*v**2 + 5. Let x be g(9). Let w(j) = -j**3 + 5*j**2 + j - 5. Calculate w(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4\/3 - 2510*b**3\/3 - 222056*b**2 - 23698720*b\/3 - 227267200\/3 = 0.\nAnswer: -899, -316, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 156 = 9*q. What is the second derivative of q*i - 3*i**2 + i**2 + 22*i**2 + 15*i**2 wrt i?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 2 = -10*f. Let l be 3 + -6 + (-2 - f). Let r be (4640\/(-6))\/(l\/600). What is r rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802006139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjejjjtjeerjtejjjj. Give prob of sequence jr.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 20 = 5*o, -o - 6 + 2 = 0. Suppose -73 = -5*c - 5*l + 8*l, z = 5*l + 5. What is the greatest common factor of 112 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -r + 51, -m - 5*r - 42 = -2*m. Let g = 31 - m. Suppose 0 = c - g*w - 28, -3*c - 3*w - 24 = -63. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*l + 138 = 0, 4*g + 69 = 5*g - 3*l. Let q be ((-47)\/2)\/(5\/(-10)). Let w = -24 + q. What is the highest common factor of g and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 5*q**3 + q**2 - 4*q + 5*q**3 + q**3 - 1. Suppose 2*z = f + 31, 2*z + 2*f + 48 = 5*z. Let r be (-57)\/21 - 4\/z. Determine d(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -4. What is the second derivative of -5*m + 0*m**s + 2*m**5 + 6*m wrt m?\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p + 31. Calculate v(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 1\/2 (c) -2\/7 (d) 253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + w**2 + w. Let u(v) = 8*v**3 + 2*v**2 + v - 1. Let g(j) = 2*r(j) - u(j). Let d(q) = q**2 - 2. Let z be d(0). Does 43 divide g(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from swjspspmmpmpjwp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 1, d: 5, u: 10}. What is prob of sequence kd?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.15906 at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 312192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 4495059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 7.71. Let n = o - 0.31. What is the smallest value in 0, n, -1\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59 or -9151\/154?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195995683.\nAnswer: 13, 15076591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z**3 - 2*z**2 + 1. Let p = 479 - 478. Determine f(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -14\/33*b**3 - 9\/11*b**2 + 57 - 4\/11*b. Factor z(q).\nAnswer: -2*(q + 1)*(7*q + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 2*a - 2. Suppose -3*g + 2*t + 20 = 0, 0 = g - t - 4 - 4. What are the prime factors of y(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2044 and (-247870)\/(-85) + 4 + 17\/((-2312)\/16)?\nAnswer: 20440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/33)*(w**(-8)*w)\/w*(w*w*w*w*(w*(w\/(w*w**(-1)))\/w)\/w*w*w)\/w**(2\/17))**29 assuming w is positive.\nAnswer: w**(-35438\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by -4583080\nAnswer: -18\/572885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.185815 litres to millilitres.\nAnswer: 185.815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(2 - 33\/15). Let d = -2 - n. Let i = 0 - -15. Solve d*t + 2*t = -3*m + i, 2*m + 6 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 43 - ((-10 - -57) + -24).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 190001*i**2 - 2*i + 1. Let u be w(1). Round u to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {i: 7, a: 3, s: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6487?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 12) to base 2\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -46, -12?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 - 9\/(-4)*4. Solve -o = -0*h - h - f, -2*h - o = -10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(209)*-1*4)\/((sqrt(55) + sqrt(1375) - sqrt(55))\/sqrt(5) - -3*sqrt(44)\/sqrt(4)).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 63 - 5. Let k be (-102)\/(-13) - m\/((-1105)\/(-10)). Let w(g) = 9*g + 0*g - 3*g**2 + 4*g**3 - k*g + g**2. What is w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37 + 33242356?\nAnswer: 33242318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6260 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4123690102 to the nearest integer?\nAnswer: 64216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = 5*z + 29, 5*u - z + 145 = 0. Let k be u\/(-4) - (-4)\/(-16). Suppose k = -w + 22. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 127, 248, 413?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*m - 20 = 0. Let a be (-4)\/(-8 + 4) + 34. Let y be (20\/a)\/(2\/14). What is the greatest common divisor of y and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -497 - -1047. Let u = c - 549.7. What is the closest to u in -0.1, 0, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1990723.\nAnswer: 7, 40627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 1) + 7*58. Let f = -268 + a. Suppose 4*m + 14 = f. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 391*p + 16. Let n be o(1). Let h = 399 - n. Let c(t) = -3*t**3 - 8*t**2 + 8*t - 8. Let f(z) = 2*z**3 + 5*z**2 - 5*z + 5. Determine h*f(d) - 5*c(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**2\/2 + 59437*g\/2 + 1009851 = 0.\nAnswer: -59403, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 92*t - 2874. Let w(x) = 110*x - 2875. What is 5*w(l) - 6*z(l)?\nAnswer: -2*l + 2869","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263, -393, -601, -881, -1227, -1633, -2093?\nAnswer: -2601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1407009*h*w**2 - 3639*w**2 - 16*w - 4 wrt h?\nAnswer: 1407009*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 204 and 134443370357.\nAnswer: 134443370561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 bigger than -2259\/176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - -1 - (2 + 0). Let a(h) = -1 + 3*h + 10*h - b*h + 2*h. Is a(5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5595190 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1330)\/(-56) + (-1)\/(-4). What is the remainder when (4\/(-6) - (-22)\/n)*284 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 771e5 (base 16) in base 10?\nAnswer: 487909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5997, 11996, 17997, 24000?\n\"Answer: a**2 + 5996*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1360 - 1224. Calculate the remainder when b is divided by 40.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5088.253 litres to millilitres.\nAnswer: 5088253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*j + 6, 2*j + 8*a = 3*a + 10. Suppose j*w + 4*m = 2*w - 28, -4*w + 2*m + 32 = 0. Suppose 2*c - 1 = 3*v, -2*c = -3*v - w*c + 29. Is v <= 18\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/45760544 and 139\/36.\nAnswer: 411844896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p - 6 + 24. Suppose -p*d + 2*n = d - 194, -365 = -5*d - 5*n. Calculate the highest common divisor of 102 and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 35836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 i when four letters picked without replacement from pvaagagagaaaiv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -130 (c) 1 (d) 13\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10}. Give prob of picking 2 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1426670 (base 9) in base 13?\nAnswer: -216801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4 + 546*t**3 + 6207*t**2 + 14664*t - 21420 = 0. Calculate t.\nAnswer: -170, -7, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 198684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*c**2 - 3*c**2 - 70*c**2 + (-c + 0*c + 0*c)*(3 - 3 - c) + (-5*c + 4*c + 0*c)*(8*c + 2*c + 2*c) to the form v*c + l*c**2 + n and give l.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 3*o - 3\/2*o**3 + 2*o**2 + 0. Let v(k) = -5*k + 2. Determine -4*n(s) + 7*v(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31359, -62612, -93865, -125118, -156371?\n\"Answer: -31253*k - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Suppose -j = 3*v - 0*v, 0 = z*v + 4. Let c(d) = -d**3 + 6*d**2 - d + 1. Let x be c(j). Let u(r) = -r**2 - 5*r - 6. What is u(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - ((45 - 25) + -24)) + 35?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 465001 = -5*m - 0*m + a, -4*m - 371997 = 3*a. What is m rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67\/13 - -473\/52. Sort m, -0.2, -7 in decreasing order.\nAnswer: m, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5\/2)\/(t**18\/t)*t*t**(2\/5)*t*t**(-21)\/t assuming t is positive.\nAnswer: t**(-391\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144200 (base 8) to base 2.\nAnswer: 1100100010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3133 - 3133 - 303*q to the form w + k*q and give k.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 - 4*b + 3. Let t(a) = a**2 - a + 1. Let p(c) = q(c) + 3*t(c). Let s be p(-8). Is (-12)\/(-3) + s + 29 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1315232*f - 1315365*f + 11039 = 0 for f.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**3 - 130*s**2 + 434*s + 159. Give k(4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 313, 599, 885, 1171?\nAnswer: 1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -213*k - 73. Let i be v(11). Let u = i - -3403. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574*n - 287*n + 42 = 284*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-76 + 84 + 128)*(2 - v - 2)*(-29 + 56 - 11) to y*v + o and give y.\nAnswer: -2176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -1 - (-21)\/(-24)*2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 79390*p - 2461092. Determine g(31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**4\/12 + u**3\/3 - 2*u**2 + 8*u. Let a(r) = -3*r + 2. Suppose 0 = 2*o - 0*o + 10. Calculate o*a(j) + 6*f(j).\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16.08 - -5.115. Let l = 11 + s. Let z = -0.03 + l. Round z to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**6\/18 - 4*t**5\/15 - 5*t**4\/12 - 2*t**3\/9 + 1. Factor j(z).\nAnswer: -z**2*(z + 1)**2*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-5 - (-7 + 4)) - (16 + 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3854224 (base 10) in base 12?\nAnswer: 135a554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4995\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-221)\/14 + 17 + (3289\/(-322) - 7)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h**3 - h**2 - 7*h + h + 0*h**3 - 6. Let d(m) = 14402 - 14389 - 13*m**3 - 2*m**3 + 13*m + 2*m**2. What is -6*d(a) - 13*z(a)?\nAnswer: -a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 88944386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*z - 4. Let c be -3 - (z - -5 - 39). What is the units digit of c*(2 + (-16)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a18758 (base 12) in base 2?\nAnswer: -1001101000001100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - h - h + (-73 + 1548*h - 127 - 1549*h)*(3 - 4 + 3).\nAnswer: -5*h - 400","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 4, -0.4, -65264 in increasing order.\nAnswer: -65264, -0.4, 0.08, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -33*u + 338. Let m be v(13). Let g be (m\/(-39) + -2)\/(14\/36). Suppose 9\/7*o**4 - 3\/7*o**2 + 0 + g*o**3 + 0*o = 0. Calculate o.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3415114.8 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11001101 (base 2) to base 7\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/35, 4, 22\/615 in descending order.\nAnswer: 4, 22\/615, -6\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-7 + 36453*(63 - -5)). Round c to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**(-5\/3))*n)**(-35)*n**4\/(n\/(n*n*n**(4\/7)*n)) assuming n is positive.\nAnswer: n**(-2557\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 744.\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*f**3 + 8*f - 11*f + 13*f**3 + (f**2 + 4*f - 4*f)*(-2*f + 3*f + 0*f) to w*f**2 + y + j*f + m*f**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggcycegggcxe. What is prob of sequence xey?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 101100111001000?\nAnswer: -101100111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.5, -4\/49, -7.427?\nAnswer: -7.427","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33988 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7172 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69881 is divided by 1426.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-7\/9)\/(c\/(c\/c**(-37\/4))) assuming c is positive.\nAnswer: c**(305\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Let p be (-3)\/g + 4\/(-8). List the prime factors of (-9)\/(2 + p + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2948)\/(-3819) + (4\/(-19))\/2. Let h = 0.1 + 0.4. Let o = -9.2 + 10. Sort h, i, o in decreasing order.\nAnswer: o, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.02 - -0.02. Let s = -4600 + 4600.4. What is the nearest to -2 in s, -0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/3 or 12\/13472599?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115919734 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 times 1\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36622152 (base 7) to base 13.\nAnswer: 8ac38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1968.2 and -2?\nAnswer: 3936.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, f: 2, u: 3, w: 4}. Give prob of sequence ru.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quucxucxuuccucxrxqcu. Give prob of picking 2 q and 1 c.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28 - 7*b - 3*b + 8*b wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -3\/2, -6\/11, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 118693.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*w + 2*x + 7, -x = -2*w + 16. Let i(z) = -2*z**2 - 15*z. Let t(n) = 6*n**2 + 45*n. Let s(c) = w*i(c) + 2*t(c). Give s(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7456405 is divided by 887.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 15. Let u be q(6). What is the greatest common divisor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*g**2 + 5*g**2 + 3*g**2 - 10 - 18*g**2 + 9*g = 0. What is g?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v - 98*v + 1935 = 0. Solve 0 = 2*k - v + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0.99. Let z = -0.3 - n. What is z rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 43*k. Let r be f(2). Let u = r - 84. Suppose 0 = c + c. Solve -4*n = -a - 21, c = 2*a + 6*n - u*n - 18 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/21)\/((-66)\/308)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011351534 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -641 + 645. Solve -6 = 3*u + 3*j, 2*u + 3*u + f = -3*j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 8*h**2 - 4*h - h**2 - 9 - 8 - 2*h**2. Let o be w(-5). Let d be (-4)\/(-16) + 38\/8. Solve 0 = d*q - 4*n - 16, 2*q - 5*n - 6 = -o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 - 75. Let m(x) = -3*x + 4. Let u be m(-4). Suppose h - 2*h = -u. Calculate the remainder when h is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/55 and -89\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -1530*j - 15148. Give h(-8).\nAnswer: -2908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1)\/i)\/i*i)\/(i**(2\/13)\/i))\/(((i**(1\/11)\/i)\/i)\/i*i*i**4)*i*i\/i**(-1\/6)*i*i\/i**(1\/3)*(i**(-4)\/i)\/(i*i**(1\/2)*i) assuming i is positive.\nAnswer: i**(-2965\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/7566 and 59\/1694784.\nAnswer: 1694784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49961 and 846.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 7*f. Suppose -5*s = 5*j - 140, 0 = 5*j - 7*s + 4*s - 172. Let t be (-18)\/(-4)*j\/12. Suppose r = c + t - 3, -2*r + 13 = -c. Calculate a(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 444853387.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from {w: 2, o: 1, b: 2, v: 3, i: 3, r: 7}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 36202 (base 8) to base 6\nAnswer: 155414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -122 in -0.11, 0.51, -263?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-2 + 3)) + (-213 - -217).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**2 - 5325*v - 451980 = 0?\nAnswer: -972, -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22 - 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2426*l + 4803*l + 1428*l + 3013*l + 6827*l - 4*l + 3*l + 2*l + l + l - 3*l + (-3*l + 0*l + l)*(-2 + 0 + 4) - 4 + 4 - 2*l to j*l + t and give j.\nAnswer: 18491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 11 = 11. Let a = p + -6. Solve 5 = b + a*x, -5*b = -2*b + 5*x - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -u, 5*g + u - 20 - 9 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 2*x - 3*x. Let d = x - 25. What is the third derivative of 8*q**2 - q**3 - d*q**3 + 2*q**2 wrt q?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p + 16 = 0. Suppose 4*m - 35 = -3*x + 1, -3 = -m. Let c be (-3 + (x - 3))*2. Solve h + 3*v + 4 = 15, 5*v = -c*h + p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -92, -107\/102?\nAnswer: -107\/102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + 3*t)*(6 + 1 + 13) - 46*t - 38*t - 7*t.\nAnswer: -71*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y. Let h be (30\/9)\/((-1)\/(-9)). Let q = 3207 + -3178. Let m(b) = q - h + 3*b - 5*b. What is a(m(f))?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 10 (b) 3 (c) -2 (d) -7 (e) 9351 (f) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17011*o**3 - 2391*o**2 + 6414*o + 8246?\nAnswer: 102066*o - 4782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**4\/42 + 10*a**3\/21 - 25*a**2\/7 - 12*a. Factor x(z).\nAnswer: -2*(z - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165554 - b**2 + 165554.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*x - 35*x + 3*x**2 + (7*x - 7*x + 13*x)*(-2*x + 3*x + x).\nAnswer: 29*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -21 (b) 12 (c) 1 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -36. Suppose 0*v + g*v + 3*j - 127 = 0, -89 = -3*v + 4*j. Find the third derivative of v*b**2 + 2*b**4 + 30*b**2 - 45*b**2 wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-250) + (-1736)\/175.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - z)*((-76 - 174 + 3)*(1 - 4 + 0) + 0 - 1 + 0 + (-3 + 1 + 4)*(-2 + 3 + 1) + 7 + 4 - 4) to the form v*z + u and give v.\nAnswer: -751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 0*u**5 - 29\/3*u**3 + 3\/4*u**4 + 0*u**2 + 0*u + 1\/6*u**6 - 38. What is the third derivative of p(f) wrt f?\nAnswer: 60*f**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1726 - -1725.99954745. What is a rounded to six decimal places?\nAnswer: -0.000453","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*t + 836, -t = r - 2*r + 213. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0522608334 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-10)*f)\/f**(-2\/41) assuming f is positive.\nAnswer: f**(-367\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 7*g - 4. Let k be o(8). Let c(h) = -2*h**3 - h**2 - 2*h - 1. Let j be c(-1). What are the prime factors of (k\/j)\/((-11)\/33)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 228*t - 179. Let d(v) = -v - 5. Determine y(d(o)).\nAnswer: -228*o - 1319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520 (base 7) in base 8?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttotyttmtnfottttf. What is prob of sequence oot?\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 3*x = 15*k - 7, -k + 5*x - 10 = 0. What is the nearest to -16 in 1\/6, k, -3, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y + 1. Let g = 67 + -63. Suppose -h + g*n = 8*n - 18, 3*n = -h + 14. Give k(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134e (base 16) in base 3?\nAnswer: 20210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187 + -186.8. Which is the nearest to 1? (a) 1\/4 (b) 1 (c) k (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10934 and 328162?\nAnswer: 25268474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 198*f**3 - 197*f**3 - 197*f**3 + 602*f**3.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 - -14 - -1) + -20. Solve 4*i + 3*a - 10 = -0, -c*i + 2 = -a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l + 1. Let n be k(1). Let a(b) = -3*b - 2 - n + 2*b + 3. Determine a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1029.9, 41, 0.01 in descending order.\nAnswer: 41, 0.01, -1029.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2910.106 hours?\nAnswer: 10476381600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (19383\/546)\/((-3)\/(-6))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616 + -7 - 6\/2?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263435 a multiple of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -359 - -527. Is 42 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -4. Suppose 7*y - 4*y - x = 0. Solve 5*c + 2*v + 2*v = -20, -5*v = y*c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -25\/3066?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/594 and -103\/36.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 831 + -826. Put 8, -3\/8, 1, l in decreasing order.\nAnswer: 8, l, 1, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(130))\/(sqrt(10) + -6*sqrt(40)\/sqrt(4)) + -1 + (-6*(sqrt(39) + sqrt(39)*1))\/(sqrt(54)\/sqrt(2)))**2.\nAnswer: 44*sqrt(13)\/5 + 6317\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 924157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1449734 and 2288?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.7429 - -6.7429. Which is the fifth biggest value? (a) 1\/2 (b) -0.07 (c) 16 (d) r (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((2 - 3) + -2). Suppose p = -4*b + 2*b + 226. Let g = -63 + b. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20\/2164667 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = n + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5\/w*w)\/w**(-2\/13)*(w*w\/(w*w**0\/w))**(-2\/29)*(w*w\/(w**(-1\/8)*w))\/w*w*(w\/(w**(-1\/12)\/w))\/w*w**0*w*w\/(w\/(w\/w**(1\/8))*w) assuming w is positive.\nAnswer: w**(36641\/4524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2 + 3*n + 4*n - 7*n + 3*n**2 + 5*n. Is 20 a factor of v(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13817136410 + 1.4.\nAnswer: 13817136411.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 31, 37, 41, 43, 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 52 = -2*b + 464, 4*b + 191 = c. Suppose h - c - 4 = 0. Is h a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 189, 619, 1449, 2811, 4837, 7659?\nAnswer: 11409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d - 4 = 0. Let o(z) = 3*z**3 - 5*z**d - 5*z**3 - 2 + z**3 - 4*z. Calculate the smallest common multiple of 22 and o(-5).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1716 and -69\/1593592.\nAnswer: 4780776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 2\/13 (b) -2 (c) 0 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 8\/7 (c) 2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2679 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 498274551*p**5 - 865972600*p.\nAnswer: 9965491020*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 237 = -51. Let z(n) = -11*n - w + n**2 - 6*n + 12. Determine z(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 - 3*w + 22. Let p(h) = -2*h. What is p(z(m))?\nAnswer: 6*m**2 + 6*m - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from eclajjlecellae?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28083.\nAnswer: 3, 11, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 196276 rounded to the nearest one thousand?\nAnswer: 196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -25 + 10 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 358\/17 - 21. What is the third biggest value in 0.1, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6*t = -15. Let i be -10*(2 + 12\/t). Solve z - 9 = r + r, 0 = -z - i*r - 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132.155 + -36.137. Let r = 168 + s. Let i = r - -28.192. Round i to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 920036, -3, -2 in ascending order.\nAnswer: -3, -2, 920036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162637461?\nAnswer: 3, 7, 281, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 909 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000110111101000001 (base 2) in base 9?\nAnswer: 1471758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 5) to base 16\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -64, 1, -3 in descending order.\nAnswer: 5, 1, -3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 219, 391, 605, 861?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2589561?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 t when four letters picked without replacement from tityttttyyit.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in 0, -0.4, 4, -1\/68?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.12 in 1\/8, -4\/5, 0.4, -2, 1\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 17 = 211. Let r be 3\/(-2)*112\/3. Let t be (-1)\/4 + w\/r. Do t and 2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 3036 + 75 = 0. Let c = 824 - i. Does 34 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2888.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 2)*(-d + 0 + 0 + (-7*d + 6*d - 5*d)*(-3 + 0 + 5) + (-1 - 3 + 3)*(6*d - 5*d + 0*d))*(0 - d + 0) in the form i + f*d + v*d**2 and give v.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x**4 - x**3 + 0*x**4 - x**4 - 13*x**4 + 8*x**2 + 7*x**4 + 2*x - 1 as h*x**4 + z*x**2 + f*x + w*x**3 + m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -107*d + 403. What is the least common multiple of m(-6) and 152?\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4236 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 113 in -1, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 15 = 29. Solve -t*y = 2*q - 7*q, q - 2*y = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185*u - 93*u - 91*u + 34 + 168 to t*u + z and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(4*u - 2*u - u) + 0 - 2*u + 0 + (6*u - 3*u - 5*u)*(2 + 0 - 1) + 0*u - 3*u + 2*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/16 - 2079\/1176 - 363\/(-42)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 1. Let o(h) = 2*h**2 + 14*h + 2. Calculate o(j) + 2*x(j).\nAnswer: 2*j**2 + 12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-28 - (-10 - -5)) + 6 + 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4\/9 + 12*w**3 + 104*w**2\/3 + 308*w\/9 + 34\/3 = 0?\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + -0.4. Let t = 1 + j. Which is the nearest to -1? (a) 3 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 2.75?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((n\/(n*n**(-10)*n))\/n*n)\/n)\/(n**(-2\/11)*n))\/(n**(-2)\/(n**(-10)\/n)))**48)**(10\/17) assuming n is positive.\nAnswer: n**(-9600\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1179175 and 377336.\nAnswer: 9433400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -385*d**4 - 2*d**3*t**3 + 4*d*t**3 - 86*t**2 wrt d?\nAnswer: -4620*d**2 - 12*d*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/34 - (-2)\/(34\/87).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(2\/5)*f**(2\/3)*f*f*f*f**(1\/13)*f*f\/(f\/f**(6\/5)*f) assuming f is positive.\nAnswer: f**(1237\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.35 in 1\/30, 5, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -41?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + a**2 + 2*a + 339. What is the tens digit of l(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14521654 (base 9) to base 8\nAnswer: 33422274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13487?\nAnswer: 13487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36207 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 376413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**5*c)\/c**7)**(-1\/9)*(c\/((c\/c**(4\/5))\/c)*c*c**3\/c)\/(((c\/(c*c**5)*c)\/c)\/(c\/c**1*c)) assuming c is positive.\nAnswer: c**(481\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 57*x**2 + 33*x + 107. Determine a(-29).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/33 and 29\/10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126 + 122. What is the fourth biggest value in 3, -0.4, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*r = z + 202, 3*r - 843 = 4*z. Let c = z + 209. Factor -1\/3*o**4 + 36*o + 4*o**3 - 27 - 18*o**c.\nAnswer: -(o - 3)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5)\/((-8)\/(-40)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7398\/4110 + 2\/(-12) + 341\/30?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 7:21 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28713 (base 9) to base 16.\nAnswer: -4c4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 26*x**2 + 47*x + 14. Let h be o(24). Is (-3)\/(-30) - 1599\/h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-4 + (6 - 1) + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 2*p. Let w(j) be the first derivative of 7 + 1\/3*j**3 - 5\/2*j**2 - 3*j. Let r be w(5). Let n(o) = o**2 + o. Determine r*n(i) + 2*c(i).\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 83 = 5*h + 137, b - 60 = 5*h. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799101 is divided by 957?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*a + 3 + 4*a - 1 + a**4 wrt a?\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4123499070 to the power of 1\/3, to the nearest integer?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 at most as big as 3825\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-18) + (-4667)\/(-117). Let o be 2*((-33)\/9 + q\/24). Let w(f) be the first derivative of -f**4\/4 - 4*f**3\/3 - f**2\/2 + 3*f - 1. Determine w(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2796498km in micrometers?\nAnswer: 279649800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001568257 a multiple of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 789649 - 789648.93997149. Let g = -27.06003651 + b. Let c = -27 - g. What is c rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 294977.9 microseconds?\nAnswer: 294.9779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 12.4. Let b = -4 + 4.8. Let q = b + h. Put 0, q, -4 in descending order.\nAnswer: q, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, 6, 0, -1\/5, -1, 957, 84?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 488422?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -19. Suppose u - 34 = h, 5*h + j = -3. Let d = 98 - u. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*o - 116 - 304. Is 42\/o + 93872\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 293614325 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6 + 5*x - 3*x**2 - 6*x + 4 - x**3 + 7*x**2. Suppose 4*v - 22 = -3*y - 2*y, -3*v - 3*y = -15. Let r be t(v). Solve 0*q = -q + r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 45*h**3 + 8*h**2 + 5. Let g(i) = -15*i**3 - 3*i**2 - 2. Suppose 0 = -6*s - 209 + 257. Let f(y) = s*g(y) + 3*b(y). What is f(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 103566, 207140, 310706, 414258, 517790, 621296?\n\"Answer: -a**3 + 2*a**2 + 103575*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -8. Let h be 1\/g + (-81)\/(-9). Solve 2 = -2*q + h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1 = 8. Suppose -14*m + k*m = -4323. What are the prime factors of m?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 47. Let k = -34 + w. Which is the fourth biggest value? (a) -1 (b) 0.5 (c) k (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1767 and 2793?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b + 5. Is 18 a factor of j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, i: 2, r: 2, z: 1, c: 1, y: 2}. Give prob of sequence zyir.\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**4\/12 - 7*u**3\/6 - 4*u**2 - 1074*u. Let t be (0 - 8)*(-2)\/4. Let m(v) = 3 + 3 + v + v. What is t*y(b) + 5*m(b)?\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.077 and -323647706.\nAnswer: -323647706.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176)*1*3 - sqrt(176))\/((sqrt(48)\/sqrt(2))\/sqrt(6)))\/(3*sqrt(2304)*-1))**2.\nAnswer: 11\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.337991 rounded to one dp?\nAnswer: -154.3","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -1656\nAnswer: 165.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66109 + -66109.32941. Round n to two decimal places.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03 and 0.184.\nAnswer: 0.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.27 + -0.33. Let t = 19.06 + d. Let r = t + -24. Which is the nearest to 2? (a) 0 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f + 3. Suppose f*i - 2 = 4. Let b(l) = -l**2 + 3*l - 3. Determine b(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3\/5 + 6424*r**2\/5 + 3317376*r\/5 + 540406656\/5.\nAnswer: 4*(r + 334)*(r + 636)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000243149 to seven decimal places.\nAnswer: 0.0000243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 j when three letters picked without replacement from qsqqqjqsjqq.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1329*k**2 + 50 + 2570*k**2 - 50 - 1265*k**2.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(2)*-5 + (-4 + sqrt(288))**2.\nAnswer: -66*sqrt(2) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12772.7 + -12773. Sort -3, h, -145.5 in increasing order.\nAnswer: -145.5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623*k - 40 = -618*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*s**2 + 235*s**2 - 246 + 246.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 3)*(-n + 5*n - 2*n) + (-n + 3*n + n)*(-4 + 1 + 1).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -b - 10, -2*b + 5 = -4*q + 1. Let a = 8 - 0. Suppose 0 = 4*m + a + 12. What is the second biggest value in m, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149900?\nAnswer: 2, 5, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - f - 11. Calculate the remainder when 97 is divided by j(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164482*p + 164470*p = -432 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271808 a multiple of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 447 + -1363\/3. Let d be -2*-22142*(-2)\/(-20692). Let m = d + 4\/739. Calculate the common denominator of k and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-3473)\/(-207) - 17)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34.7 - -35. Which is the closest to 1? (a) p (b) -2\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3147355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 7. Let z be r(5). Suppose -24 = -z*k + 2. Calculate the remainder when k is divided by 4\/(-2) + (12 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 20 - 120 = 0. Let t(u) = 3*u**2 - 9*u + 2. Calculate the least common multiple of t(6) and s.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 8*x + 101. Solve 4*m - x = -5*t, -8 = -3*t + t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 10 = 0, h + 7 = -2*g - 2. Let u be ((-2)\/16)\/(h\/(-4)). Let m = -270 - -275. What is the smallest value in -0.03, m, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 16 = -j, 2*j = -3*j - 2*d + 12. Let l be j\/(-7) + 54\/252. Is -0.2 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 d when three letters picked without replacement from dtdttttttdddt.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 953*m**3 + 190*m**3 - 119*m**3 + 701*m**3.\nAnswer: 1725*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3764, -3993, -4224, -4457?\n\"Answer: -h**2 - 226*h - 3537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -88, -112, -158, -232, -340, -488, -682?\n\"Answer: -f**3 - 5*f**2 - 2*f - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 - -1.1. What is m rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 4, c: 5, x: 5}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171 - 175. Suppose -4*c - 3 = 5*p - 6*c, 16 = 4*p + 3*c. What is the closest to 1 in n, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 285768*p**3 + 586152*p**2 + 264770*p\/9 + 3364\/9 = 0.\nAnswer: -2, -29\/1134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 o, and 1 q when three letters picked without replacement from uqoupoupuouquuuoupup?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 144135*q + 26991348.\nAnswer: 3*(q + 188)*(q + 47857)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 9*l = 2*k + 115, 76*l - 4*k = 81*l + 209 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7 = 3. Let o(w) = -w**3 + 3*w**2 + 2*w - 7. Suppose l + 4*l - 3*k = 30, -l + 18 = -3*k. Let c be o(l). Put j, -4, c in decreasing order.\nAnswer: j, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + c + 2. Let f(b) = -6*b + 34. Let y(m) = -20 + 6*m - 4 - 16 + 5. Let s(a) = -2*f(a) - 3*y(a). Let o be s(7). What is d(o)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46188 is divided by 298?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0\/1)*4. What is the derivative of -3*w**4 - 4*w**y + 1 + 2*w**4 wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 2*i + 3*z, -5*i = -i - 3*z + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*w + 491 + 204 = -355 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 + 4*f + 4. Let r = 9893 + -9897. Let x(h) = 6*h**2 - 9*h - 9. What is r*x(s) - 9*g(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2594 * -30278\nAnswer: -78541132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a**2 + 21*a. Let u(r) = -63*r**2 - 161*r. Let d(k) = 46*p(k) + 6*u(k). Let h(o) = -2*o. Give h(d(j)).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10833, -10461, -10089, -9717, -9345, -8973?\n\"Answer: 372*u - 11205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 7:48 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 4*c. Let w(j) = j**2 + 1. Let o(u) = r(u) + 4*w(u). Calculate the remainder when 55 is divided by o(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**5 - 2454555*j**4 - 27001160*j**3 + 220915880*j**2 - 481104240*j + 333826960 = 0.\nAnswer: -17, 2, 490922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 580937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1241 divided by 17?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 z, and 2 n when four letters picked without replacement from {n: 5, j: 1, z: 3, l: 4, v: 1}?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -230*g**2*t**3 + 120897*g**2*t*y + 2609*g**2 - 4*t**3*y wrt y.\nAnswer: 120897*g**2*t - 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (4 + 1 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/((-9)\/230))\/(6\/(-27)). Let d = n - 675. Does 40 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/7 of a week?\nAnswer: 27360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 9. Factor l - 2*l + 5*l**2 + 1 - 4*l**f - 3*l**2.\nAnswer: -(l + 1)*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5500 by -1100.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4)*a)**(2\/9)\/(a**(-10)*a**32))**15 assuming a is positive.\nAnswer: a**(-340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19020 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -43*w**3 + 12*w**2 + 5*w + 98. Let b be x(-7). Round b to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/121940 and -137\/256074.\nAnswer: 2560740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*h + 2*r + 16, 0 = -3*r + 12. Let d be ((-2)\/(-1))\/2*h. What is the highest common divisor of d and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 14*n - 11*n - n - 3*n + 2 as p*n + t and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8*f - 64 - 5 - 20*f - 31 - 9. What is the smallest common multiple of r(-4) and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3821271.93ms?\nAnswer: 0.006318240625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2 and -41\/56374500.\nAnswer: 56374500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1961, 2002, 2043, 2084?\nAnswer: 2125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6086 (base 10) to base 5.\nAnswer: 143321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3154 - 3149. Put d, 561, -5 in descending order.\nAnswer: 561, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 251996872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 242 = -146 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/(-4) - (-28 + 24)*26\/(-32).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1344*-0.7\nAnswer: -0.09408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789256 is divided by 52587.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*y - 2*y + 85 = 0, -4*n - 4*y - 112 = 0. Let p = n - -16. Let z(f) = f**2 + 8*f - 6. Calculate the remainder when 8 is divided by z(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 6, r: 1, k: 2, x: 1, l: 3}. What is prob of sequence er?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*d**2*v**5 + 4*d**2*v**3 - 63*d**2 - 74*d*v**2 wrt v.\nAnswer: -4500*d**2*v**2 + 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 2:28 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.18 - 2.7. Let n = t + 1.2. Round n to 1 dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c35 (base 13) to base 15\nAnswer: 13e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -12 (b) -2\/7 (c) -50133 (d) 1.1 (e) 0 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -20\/3 + 8*o + 1\/3*o**3 - 3*o**2 = 0. Calculate o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 74*t + 70. Calculate v(3).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/3 + 1318*h - 74404\/3.\nAnswer: -2*(h - 1958)*(h - 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6529, 12725, 18191, 22561, 25469, 26549?\n\"Answer: -61*x**3 + x**2 + 6620*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 130823593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.2 (b) -18\/17 (c) -1\/11 (d) 0.04 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 455 - 598?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 408*t - 2136. Determine w(6).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-12)*-39*30*(-14)\/(-175)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 34. Give b(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331 (base 5) to base 15.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 17. Suppose n*o + 350 = -5*s, -s + 5*o = 42 + 22. Let r = 119 + s. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -210659099305.\nAnswer: -210659099305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Suppose -60 = -q - q - 4*p, -c*p + 102 = 4*q. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-42)*(-5600)\/3200.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 3. Suppose 3*l - c = 3. Suppose -6*v + 40 = -l*v. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2. Let n(j) = 160*j + 1. Calculate x(n(o)).\nAnswer: 25600*o**2 + 320*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42217 divided by 4.\nAnswer: 42217\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 10, 3\/5 in decreasing order.\nAnswer: 10, 3\/5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - c - 3. Let d be b(0). Let i(r) be the second derivative of -r**4\/12 - 5*r**3\/6 - r**2 + 2*r. What are the prime factors of i(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 2 = 6*v. Let f(o) be the first derivative of -3 + 0*o + 1\/5*o**5 - 1\/4*o**4 + 1\/2*o**2 - 1\/3*o**v. Find b such that f(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 6:30 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 845228, 1690450, 2535672?\nAnswer: 3380894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6727*r**4 - 4263*r.\nAnswer: -80724*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20991 - -9)\/((-3)\/1900). Round p to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235.8652 rounded to one decimal place?\nAnswer: -235.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/9*(-6)\/4. Suppose 32 = 3*i + h + h, -h + g = 0. What is the smallest common multiple of (1 + 1)*1\/2 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1142*m**2 - 395*m**2 - 386*m**2 - 389*m**2.\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from phppjopop?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-147)*(-10)\/(260\/91).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqqbqbqbbbb. What is prob of sequence bqq?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*o + 10*o + 6*o**2 + 1 + 10*o.\nAnswer: 6*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3580407365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from ogaugggubbaaubaggnaa.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -21*w - 39. What is the hundreds digit of l(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, i: 2}. Give prob of picking 2 m.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k - 9. Let d(y) = y. What is 3*d(l) + x(l)?\nAnswer: -6*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -13*s + 1. What is h(2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**6*(a*(a**6\/a)\/a)\/a*a**(2\/3)*a\/a**(-4)*(a**(2\/5)\/a)**(1\/28)*(a**1)**(-6\/7) assuming a is positive.\nAnswer: a**(6631\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -39.\nAnswer: -8\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1350)\/(-20))\/((-4)\/(-19856)). Suppose 32*q - y = 41*q. What is q rounded to the nearest one thousand?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1072475 by -42899.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 967347107 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-315))\/(22\/66)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/243, 10\/31, 3\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -667*a + 1 - 2 + 665*a. Let t = 14 + -8. Let s = 2 - t. What is p(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: e6 (base 15) to base 16\nAnswer: d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -28. What is the highest common factor of 132 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3 + -3*(sqrt(931) - -6*(sqrt(931) + (sqrt(931) - (sqrt(931) + 4)) - sqrt(931))))**2)*3.\nAnswer: -8694*sqrt(19) + 39435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 77 - 124 = -87, 0 = 2*z - m - 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - 8*v**2 + 23*v**3.\nAnswer: 23*v**3 - 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.7 and -4?\nAnswer: -102.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -419*s + 420*s + 3, 3*s + 13 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 0 (c) 1\/2 (d) 4 (e) -26 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33094 is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -35*a + 22*a + 14*a + 7, 0 = -31*l - 3*a + 104 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v + 43 = -5*y, 4*v = 2*y + 126. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2036*c**2 + 739.\nAnswer: -4072*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15616 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (69*u - 72*u + 2 + 34)*(-123 + 123 + 79*u) in the form m*u**2 + v*u + y and give v.\nAnswer: 2844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6141719427 to the nearest integer?\nAnswer: 78369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 0.25, -3?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2*0\/50. Suppose 9*a - 54 = -i*a. Solve -22 = -4*x - a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6071 - 4300. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 917.6133 litres in millilitres?\nAnswer: 917613.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939826 is divided by 187961?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 3*p - y, -130*p + 5*y = -135*p + 70. Calculate the remainder when 926 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25.87152 tonnes?\nAnswer: 25871520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6*((527\/31)\/(-272))\/(1\/4)*38\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cllw when four letters picked without replacement from rgrrwlrrcrrrrrrwglrr?\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 0*m - 1 - 3\/2*m**2. Let i(q) be the first derivative of q**2 + 1. Calculate y(i(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 394*f**2 + 5266*f - 10024. Calculate b(-407).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*n - 21*n + 3*n + 10*n to h + m*n and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1111100111000111?\nAnswer: -1111100111000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - 2*b + 0*b)*(-30*b + 85*b - 156*b)*(-7 + 2*b + 7) in the form u*b**2 + p + o*b**3 + w*b and give o.\nAnswer: 808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 15500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 474164 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**5 - 278842*d**4 + 4859623518*d**3 - 2429602630*d**2 - 2429742050*d = 0.\nAnswer: -1\/2, 0, 1, 34855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 3:09 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 44*d + 431. Determine u(30).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5507 + 5502. What is the closest to 1\/3 in g, 1.05, -1?\nAnswer: 1.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4536810*m - 36294477. Calculate x(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 2 = h. Suppose -5*k + 2*q + 227 = -0*k, 27 = k - h*q. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 v when three letters picked without replacement from {k: 8, n: 2, r: 1, v: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/2, -0.4, 1, -1\/5 in decreasing order.\nAnswer: 1, -1\/5, -0.4, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 751, 2128, 4477, 8026, 13003, 19636, 28153?\nAnswer: 38782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 7*u**2 - 5*u - 1. Suppose 0 = -5*o - 2*l + 15, l = -4*o + 6 + 9. Let w be d(o). What is the greatest common divisor of 192 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 - 1\/(2\/(-8)). Let t(i) = i**2 + i - 1. Give t(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**6*w)\/w*w)\/(w*w**6)*(((w*w\/w**1*w)\/w)\/w*w)**21)**(-48) assuming w is positive.\nAnswer: w**(-1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 - 26*c - 325. Let b be g(-7). Factor -b*m - 4\/3*m**2 - 8\/3.\nAnswer: -4*(m + 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -7.1?\nAnswer: -3.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0.4, -1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*z + 4554 = 5*k + 197*z, 5*k - z = 4542. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/5 - (-12 - -1). Let y(u) = u**2 - 3*u + 8. Is y(b) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2513 - 2620) + 2535\/24\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 8 = 2*f + 6, -24 = -3*f + 3*t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 - 18*o + 18. Let f be g(5). Let d(q) be the first derivative of -2*q**3\/3 + 3*q**2 + 2*q - 17. Give d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -124. Let t = a + 159. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -b - 0*i - 90, -i = 5*b + 412. Suppose -4*m = 2*a - 188, -m + 78 = m - 3*a. Let u = m - b. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 0*f**4 + 29\/20*f**5 + 0*f**3 + 46 + f - 57\/2*f**2. What is the first derivative of t(g) wrt g?\nAnswer: 87*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (5 - 1) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d**2 - 3 + 3)*(1 + 0 + 3) + (-2*d**2 - 4*d + 4*d)*(-5 - 2 + 2) - 5*d**2 - 1 + 1)*(-1 + 0 - 3).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -139928.972 rounded to the nearest one hundred?\nAnswer: -139900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000471864 to five dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6460504 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2.5. Let o = r + 0.5. Let p = -2.5 + o. What is the third biggest value in p, 0.5, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322377.\nAnswer: 3, 11, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3986 divided by 1\nAnswer: 3986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 54*m - 481. Calculate x(25).\nAnswer: 869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -21. Let c = 15 - k. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -8712.59, 7 in descending order.\nAnswer: 7, 3\/4, -8712.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, o: 9}. What is prob of picking 3 n?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 7, -3, -44, 2 in ascending order.\nAnswer: -44, -3, -1, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 2:00 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5715 < 5712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(7) - (sqrt(7) + sqrt(21)\/sqrt(3) + 4 + sqrt(7)))**2 + sqrt(7))*1.\nAnswer: -85*sqrt(7) - 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 30. Let y = q - 33. Suppose 678 = y*o + 4*o. What are the prime factors of o?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 718917 and 46311?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 6*g**2 - g + 5. Let d be h(6). Let y be (3\/(-6))\/((1\/6)\/d). What is the greatest common divisor of 15 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 5 = 5*x. Suppose 2*r = x*f + 3*r - 17, -2*f + 18 = -r. Let w = f - -6. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 - 60 - 263 = -62*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**3\/6 - 6*l**2 + 2*l. Let x be s(6). What is the units digit of -6*(-1 + (-3)\/x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1105250811?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - y + 4 = 5*s, -5 = 15*s + 2*y. Let t = 5 + -8. Put s, t, -50 in decreasing order.\nAnswer: s, t, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/9*1*3. Put 4, 5, g, 2 in descending order.\nAnswer: 5, 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 0 - 1\/8*g**4 + 17*g**2 + 0*g**3 + 0*g. Let i(j) = -2*j**2. Give z(i(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 340.\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 1.3492?\nAnswer: 0.13492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 300082*h**2 + 16210260*h.\nAnswer: -2*h*(h - 54)*(h + 150095)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i + 150 - 2*i - 140. Suppose t - 5*t + 20 = 0, -2*p = 2*t + 4. Let y be z(p). Solve 0 = 5*w + 5*c + 10, 3*w + 7 + 11 = y*c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.3 - -12. Let v = -0.8 - 0. Let f = v - i. What is f rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(90\/(-86)) + (-2)\/(-9). Let x be (-48)\/(-220) + (-2)\/u. Which is the third biggest value? (a) x (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjed when four letters picked without replacement from bjdenbn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 2*d - 1. Let g = 7 + -17. Let f be 1\/(-3 + g\/(-4)). Let r(l) = l**2 - l - 1. Let b(y) = f*r(y) - a(y). Differentiate b(c) wrt c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25116965 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1071*m + 1060*m - 2325*m.\nAnswer: -194*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 7:56 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*u - 168*u = -10. Suppose -5*m + 3*y = -98680, m + u*y - 21214 = -1465. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 34*p**3\/27 - 148*p**2\/3 + 104*p\/9 - 547. Factor z(w).\nAnswer: 2*(w - 26)*(17*w - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 464 - 402. What is the remainder when 116 is divided by x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 2\/15 (c) 10 (d) -2\/11 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/14253192 and 43\/66861?\nAnswer: 242304264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147 + 2 + 480)*(4*n + 0*n - 3*n) - 2*n + 2*n + 6*n + (0*n - 2*n + 0*n)*(2 - 3 + 3) + n + 2*n - 5*n + 2*n + 3 - 3 - 2*n + 4*n - 3*n + 3*n + 0*n - 5*n.\nAnswer: 334*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*p - 0*y + 1509, 5*p - 1473 = 2*y. What is the least common multiple of 54 and p?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1834 smaller than -1834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79603502?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-1 - (-10 + 14)) + 11)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128 + 705114\/5504)\/(((-5)\/10)\/1).\nAnswer: -7\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/51817496 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 f, and 2 o when four letters picked without replacement from {n: 1, k: 1, o: 2, l: 1, j: 1, f: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1800061?\nAnswer: 107, 16823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(15\/((-60)\/136)))\/((-5)\/(-5)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3 + 5*x**2 - 11*x**2 + 8*x**2 + 0*x**2 - 2*x. What is n(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*-2 + -3 + sqrt(112)*-3 + 1 + sqrt(112) + sqrt(112) + sqrt(112) + -1 + -1 + 4 + -3 + sqrt(112))**2.\nAnswer: 24*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p - 69. Let z(c) = -c + 2. What is z(a(q))?\nAnswer: -2*q + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 0, -16*b = 4*p - 11*b - 73572. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 0 + b + 7 - 1 - 2. Let t(g) = -1. Calculate -3*m(h) - 12*t(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*l = 1295235 + 1043233. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21003001 (base 4) to base 15\nAnswer: -aea7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012706 to six decimal places.\nAnswer: 0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 2 = -c + 2*o, 4*o + 215 = 5*c. Suppose 2*b - 84 = -4*j, 0*j + 4*b = -5*j + 111. What is the second derivative of c*t - j*t - 13*t - 3*t**2 wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 1. Let y(i) = -2*i**2 - 8*i + 7. Let f(w) = 2*w + 161. Let p be f(-82). Determine p*n(v) - y(v).\nAnswer: 2*v**2 + 5*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/16)\/(3013\/368 - 8) - (-4023)\/(-336).\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x + 195. Let p = x - -44. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/17498605 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xsp when three letters picked without replacement from {x: 1, o: 4, s: 7, p: 1}?\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = 6. What is the second biggest value in -5, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1304044140 to the nearest one million.\nAnswer: 1304000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2956105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 - (-7)\/((-56)\/(-160)). Sort 12, d, 4.\nAnswer: 4, d, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -429198 by 33.\nAnswer: -13006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -176 divided by 6952\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02639 and 141.\nAnswer: 140.97361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**1\/t)**(-10)\/(t*t*t\/(t\/((t**(-3)\/t)\/t)))**32 assuming t is positive.\nAnswer: t**86","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000500376 rounded to five dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 8515678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5619625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 + 382.807\nAnswer: 382.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times -2.7960923?\nAnswer: -4.19413845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5467 divide 90396545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - q - 8 - 6 - 6.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**6\/12 - 39*m**5\/2 - 6525*m**4\/4 - 53865*m**3 - 1607445*m**2\/4 - 2250423*m\/2 + 25. Find p such that j(p) = 0.\nAnswer: -63, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 249 + 273. Let u(g) be the first derivative of 0*g**3 - 3\/2*g**4 + w*g**2 + 2\/5*g**5 + 0*g + 8. Factor u(c).\nAnswer: 2*c*(c - 2)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**5\/2 - 561*j**4\/2 + 18567*j**3\/2 + 86361*j**2\/2 - 52185*j = 0.\nAnswer: -5, 0, 1, 49, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 7 - -1) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j + 0*j)*(2*j**3 + 4*j**3 - j**3) + (4*j + 0*j - 2*j)*(0*j**3 - j**3 - j**3) + 0*j**4 + 2*j**4 - 4*j**4.\nAnswer: -11*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 634978 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56084402*r**3 - 56084402*r**3 - 56084400*r**3 + 224337561*r**3 - 56084391*r**3.\nAnswer: -34*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 - 88*j - 209*j + 39*j + (-j**2 + 0*j + 0*j)*(3*j - 6*j + 4*j) - 8 + 9*j**3 + 8.\nAnswer: 7*j**3 - 258*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 234313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 13 = -7. Is u + 1\/1*4289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0 - (-6 + -3 + 7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**3\/2 - d**2\/2 - 2*d. Let a be 16\/6*(-21)\/(-14). Is j(a) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + 55. Let w be (-54)\/12*y\/3*-1. Suppose -6*n + 1467 = w*n. Is 41 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138194257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.1 + 13. Let v = 0 - 1. Let g = -3 - v. Put t, 0, g in increasing order.\nAnswer: g, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0259858458 to 6 dps.\nAnswer: -0.025986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 29*y - 2. Is k(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 38\/12 - (-3)\/(-18). Suppose w - 44 = -4*g, 4*g - q*w - 10 - 34 = 0. What is the smallest common multiple of g and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1993*d**2 + 1993*d**2 - 262*d**4 + (d**3 - d**3 + d**3)*(4*d + 2*d - 5*d))*(-2 - 3 + 6).\nAnswer: -261*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113946.001589 - -113454.003. Let s = 492 + d. What is s rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(132)*-3)\/sqrt(12))**2 - (0 + (1*sqrt(132))\/sqrt(12)).\nAnswer: -sqrt(11) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-1)\/6*12\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*g + 21 = 0, 7*z + 22 = 3*z + 5*g. Let w = 9 + -6. Is w + z - (-2 + -9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12551)\/209 - (-496)\/9424?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*o - 166*o = -200*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 35. Let l be ((-54)\/(-30))\/(4\/q). Suppose 5 = 4*p - 27. Solve -5*s = -l*s - p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -11*a**7\/14 - 2*a**5\/5 - 350*a**3 - 5*a - 161. Find the second derivative of y(l) wrt l.\nAnswer: -660*l**3 - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((-24)\/(-60))*616\/560.\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -999, -3890, -8715, -15480, -24191, -34854, -47475, -62060?\n\"Answer: -y**3 - 961*y**2 - y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1341 + -100574\/75. Let l(h) be the second derivative of 10*h + 0*h**2 + 0 - z*h**6 + 1\/50*h**5 + 0*h**3 + 0*h**4. Determine q so that l(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1092? (a) 0.5 (b) -2 (c) 1\/4 (d) -5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.923 + -0.077. Let l = -44.856 - i. Let f = 0.886 + l. Round f to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8177533 and 5110.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 280759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*(sqrt(175) + sqrt(175) + sqrt(175)*-1 + sqrt(175))**2 + (0 + -1*sqrt(7)*-2)*5 + 1)*-5.\nAnswer: -50*sqrt(7) + 10490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -20*j + 37*j - j**3 - 18*j. Let s(a) = -8*a**3 - 6*a. Suppose -3*p - 35 = 1. Give p*n(b) + 2*s(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8293484 millimeters?\nAnswer: 829348.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -924 divided by 6.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 954462.7ng in micrograms?\nAnswer: 954.4627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1669 is divided by 813.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*w - 3*w + 5750. Let r = w + -32. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 2 - 2. Let k(y) = -40*y + 3168. Let d(u) = -u + 66. Let p(o) = 48*d(o) - k(o). What is p(s(z))?\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-9)*39\/13.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-24))\/((-50)\/120)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w + 2. Let p(s) = -86*s - 323*s + 348*s. Calculate q(p(k)).\nAnswer: 488*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*b - 5. Let u(w) = w**2 - 2*w - 6. Calculate u(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35358947.\nAnswer: 13, 293, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 2. Let q(k) = 5*k - o*k + 2*k. Let a(s) be the second derivative of -s**3\/3 - s. Determine a(q(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1194 - 2718 = -4*g. Suppose -o + t = -474, 2*o - 10*t + 9*t - 950 = 0. Let l = g - o. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 236537708?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + 18*o - 10*o - 8*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 9*k**2 + 10*k - 4 + k**3 - 1 + 15. Let v be n(-8). What is the second derivative of -3*o - 17*o**2 + 20*o**v + 0*o wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 618*k - 9 + 2 + 7 + 255*k.\nAnswer: 873*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/(((-11)\/(-414))\/11). Factor -86*r**3 - 100*r**3 - 24*r**2 + 0*r**4 - 48*r - 3*r**4 + d*r**3.\nAnswer: -3*r*(r - 4)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3*v**2 + 232*n**3*v - 111*n**3 + 5*n**2*v**2 + 136*v**2 wrt v.\nAnswer: -4*n**3 + 10*n**2 + 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3))**(-26)*(i\/(i**(1\/6)*i)*i)**29 assuming i is positive.\nAnswer: i**(613\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1 - 1 + 1. Let o(t) = 1525*t + 1514*t + 4 - 4559*t + 1517*t. Suppose -3*n + 0 = 9. Determine n*i(b) - o(b).\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 28770.5.\nAnswer: 28770.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5710520173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - w - 2. Let h be u(3). Suppose -2*f + 2*n = 5 + 13, f = -5*n - 15. Let q = f - -12. Solve -h*k + 13 = b - 2*k, -q*b = -5*k + 19 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -53. Suppose 2*w + 3*w + 7 = -2*f, -w - s = 0. Suppose 3*p + 19 + f = y, -5*y = p - 131. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44159 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2907 is divided by 461.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29848 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*p + 74 = 1015, -3*k - 573 = p. What is the common denominator of k\/(-288) + 2\/(-9) and 65\/24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) - (sqrt(126) + -3*sqrt(126) + sqrt(126)))\/sqrt(3))\/sqrt(6).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*x - 1)*(2*x**2 + 2*x - 2*x)*(3 - 14 + 5) to the form n*x**3 + k + q*x**2 + j*x and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*1.9.\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + 8*n)*((0*n + 4*n - 3*n)*(-3 + 1 + 0) - 6*n - 5*n - 5*n).\nAnswer: -90*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010566 to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 4*x**5\/5 - 6*x**4 + 52*x**3\/3 - 24*x**2 + 16*x - 6. Factor u(p).\nAnswer: 4*(p - 2)**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 59723 = 4*a - 22963, -5*p = -4*a - 45956. What are the prime factors of p?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50772.\nAnswer: 2, 3, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 430112798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -199, 8\/5 in decreasing order.\nAnswer: 8\/5, -5, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/83, -0.17, -48, -216 in ascending order.\nAnswer: -216, -48, -0.17, 3\/83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8354 - -8353. Which is the nearest to k? (a) -9 (b) 1 (c) 0.03 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x - 1. Suppose 0 = -4*a - 1 + 9. Let m(h) = -3*h + 1. Calculate a*j(y) + 5*m(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h. Let k(l) = -13*l + 41. Determine -k(q) - 5*n(q).\nAnswer: -2*q - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 322 - 277. Let p be (-2)\/(-2)*1 - 1. Suppose 2*t - 3*c - 5 = p, -3*t - 2*c = c - s. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 21283*a**2 + 0 + 21283*a**2 - 1696*a + 2*a**3 to n + i*a**3 + r*a + s*a**2 and give r.\nAnswer: -1696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*s = -4*s + 20, -2*z = -5*s + 23. Let a = -3 - z. Let b(h) = 13*h - 11*h - 6 + 0*h + 7. Give b(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p\/p**(-13))*p*p**(-2\/13)*p assuming p is positive.\nAnswer: p**(-158\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 44 + 21 + -66 + -10 + 2 + 35\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9188.\nAnswer: 2, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*d**3*g**3*n + d**3*n**2 + 3*d**2*g**2*n + 112*d*g**3*n**2 - 251*d*g*n**2 - 22*g**2*n - 2*n wrt g?\nAnswer: -48*d**3*n + 672*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -306266 and 14.\nAnswer: -306252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/63 of a week?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 133046579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(91)*-4)\/sqrt(7).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4906 is divided by 661.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 + (-11 - -6) + 13 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3 - o**2 + 6 + 4 - 12 + o. Let x(w) = -2*w**2 + 0 + 1 + 2 - w. Let v(b) = -3*g(b) + x(b). Find the second derivative of v(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 15 = -2*t, 2*t + 5*w = t + 15. Solve -z = -t*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 750572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -33. Let x = -12 - m. Which is the third smallest value? (a) 5 (b) x (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9290 divided by -3005?\nAnswer: 1858\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7916a (base 11) in base 3?\nAnswer: 12211021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 288856 to the power of 1\/2, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4385 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-54) - 6\/(-675)*-84?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31402\/3 or -0.1499?\nAnswer: -0.1499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 9*o - 16. Let i be k(4). What are the prime factors of 4\/(i\/21)*(-144)\/(-28)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - (-586 - 9\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1025 and 343295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -15*h**3 + 91*h**2 + 46770*h - 280659. What is m(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257, 517, 951, 1559, 2341, 3297, 4427?\nAnswer: 5731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 296*d**2 + 6*d + 96920 wrt d.\nAnswer: 592*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, m: 1}. What is prob of picking 3 u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/2204 and -137\/70.\nAnswer: 77140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**2\/11 + 3566*w\/11 + 216 = 0. What is w?\nAnswer: -1188, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12089, 12193, 12295, 12395, 12493, 12589?\n\"Answer: -m**2 + 107*m + 11983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1033, 1038, 1033, 1012, 969?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 0*u + 3*u)*(-1 - 1 - 6)*(-2 + 2*u + 2).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(-4 + 0 + 3)*(43 - 85 + 48)*(-2*h - 2*h + h).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 857, 2058, 3857, 6338?\nAnswer: 9585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*c - 2*v + 6, -2*v = 8. Let q be (10\/c)\/(2\/4). Is q greater than or equal to -6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4997415613?\nAnswer: 4997415613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 + 3 + (-3)\/1. Let j(a) = 5 + 6 - c - 6*a + 7*a**2 - a**3. Let n be j(6). Solve 12 = -d - n*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**3 + 3*u**3 - 2*u**3 + (2 - 2 + 2)*(-3 - 2*u**3 + 3) - 41*u**3 - 21*u**3 + 17*u**3 - u - 5*u**3 + u.\nAnswer: -49*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 - 2*o**2 - 1. Let v be t(2). Let s be 2\/1 + 3 + v. Find the common denominator of 16\/7 and (s\/21)\/((-6)\/133).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5\/7 - 52*x**4\/7 - 212*x**3\/7 - 284*x**2\/7 - 120*x\/7 = 0 for x.\nAnswer: -6, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -23*u - 4. Let g(j) = -8*j - 1. Let t(r) = 17*g(r) - 6*s(r). Let a(q) = -q**2. Calculate a(t(l)).\nAnswer: -4*l**2 - 28*l - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10202011 (base 3) to base 5.\nAnswer: -41411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100054 and 76.\nAnswer: 200108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 7*x**2 - x + 7. Let v be k(7). Let d(w) = 6*w + 0 + 1 + v - 5*w**2 + 8*w**2. Does 14 divide d(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -2. Suppose 3*x + 0*x = 0. What is the tens digit of 15*(-3)\/i + x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1045 is divided by 330.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*r = i - 26, -50 = -5*i - 4*r. Let b be (-964)\/22 + i\/(-33). What is b rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Suppose -2*i = -5*u + 3, 0 = 2*i - 3*u + 1. Let q be (-1)\/f*(i + -39). What is the greatest common factor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/658265 + 56742083\/59243850. Let o = 1\/50 + i. Find the common denominator of o and -65\/12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-837)\/186)\/((-12)\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.03 + -0.3?\nAnswer: 117.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**5\/20 - z**4\/6 - z**3\/2 + 2*z**2 + 7*z. Let n(a) = 2*a**2 - 2*a - 1. Let m be n(2). What is d(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24048 (b) 2\/5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + s. Suppose s = -p - 0*p + 17. What is the remainder when 33 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49881 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4849, -10140, -15447, -20770, -26109, -31464, -36835?\n\"Answer: -8*a**2 - 5267*a + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3, 4*u - 5*h = -11 + 38. Suppose j + 3*j = 0. Suppose -6*s - 2 + 38 = j. Solve 5*w - u*w = -s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 - 76. Suppose -m = -h - 1, 112 = j + 5*h. Let r = -71 + j. Calculate the remainder when r is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4753, -9508, -14263, -19018, -23773?\n\"Answer: -4755*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 22414.\nAnswer: 89656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 11749, 58, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 4*v + 30. Let m(n) = -214*n + 2577. Let g be m(12). Let h(t) = 4*t**2 + 17*t - 121. Give g*x(r) + 2*h(r).\nAnswer: -r**2 - 2*r + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 206190 to the power of 1\/2, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4899554 is divided by 4495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.23712 - -0.16288. Does t = 6121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 i, and 2 u when four letters picked without replacement from uumuupipq?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -39.6, 0.7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3)**(8\/17))**42 assuming d is positive.\nAnswer: d**(1008\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-714)\/175 + 4)*-5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211 + 245. Calculate the greatest common divisor of 17 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*c + 6 - 21 = 0, 4 = 2*n + 2*c. Suppose 8*y + 25 = 5*s + n*y, -3*s - 15 = 3*y. Let k = 16 - 4. Solve s*x = 3*x - k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (50\/55)\/(-5*2\/(-55)) - -297 is divided by 78?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38129?\nAnswer: 7, 13, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142015142 (base 6) to base 10.\nAnswer: 2895110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28c + 2?\nAnswer: -28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19045*k + 2*k**3 - 1 - 7922*k + 24224*k + 3424*k + 218*k.\nAnswer: 2*k**3 + 38989*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-587133)\/(-165732) - 2)*8\/(1920\/(-140)). Let g = -274704728\/1973 + 139232. Let z = c + g. Calculate the common denominator of 3\/14 and z.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-11)\/(-44)*0\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -2*t + 4*t + 5, -4*a - 4 = -2*t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 2740*v - 2738*v - 26 = -b, 0 = 2*b - v + 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12331031 (base 4) to base 5\nAnswer: 1402433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -798, -740, -682, -624?\n\"Answer: 58*i - 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -900*p - 19 - 915*p + 1760*p in the form g*p + w and give g.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1228 + 2464 - 1236 - b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s**2 + 38*s**2 + 26*s**2.\nAnswer: 83*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26756548, -53513098, -80269648?\n\"Answer: -26756550*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 49*o + 5. Let a(f) = -220*f - 22. Let i(x) = -5*a(x) - 22*s(x). Let m(k) = -4*k. Calculate m(i(y)).\nAnswer: -88*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*k + 16. What is the derivative of 4*z + 2 + 3 - 1 - k*z wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100100111101100001 (base 2) in base 5?\nAnswer: -220002300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 13*k - 84. Let l(y) = -7*y + 43. Calculate 7*l(j) + 4*n(j).\nAnswer: 3*j - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -15*r**2 + 695*r - 2130. Let i(w) = -17*w**2 + 691*w - 2136. Let k(t) = 6*f(t) - 5*i(t). Factor k(j).\nAnswer: -5*(j - 140)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k + 17 = 0. Suppose g = -g - 2*l, -2*l + 6 = 4*g. Suppose k - 14 = -g*x. Is 1\/4 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 246.8448993 - 1570.844981. Let k = 1324 + w. What is k rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f - 10. Let r = 3652 + -3656. What is i(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/253? (a) -1\/5 (b) -5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/9214 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9731437 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14995.\nAnswer: 5, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 - -3598. What is u rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1377) - (-1 + sqrt(1377)))*-5)*-1 - ((-5 + sqrt(2057) + 2)*-1*-2)**2.\nAnswer: -8254 + 264*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -343 (b) -5 (c) 448.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -358 - -658. Let b = -704 + 375.2. Let m = y + b. What is m rounded to zero dps?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -6. Let t = 25.3 - 17.2. Let k = t + -7.1. Does k = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -226 or -227?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 bigger than 402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -295 + 297. What is the closest to -1\/3 in 4, 1\/2, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 0*j - j**2)*(-16*j - 21 + 21)*(-731 + 546 + 599) to g*j**3 + u + z*j**2 + r*j and give g.\nAnswer: 6624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - c - 12. Let w be z(-9). Let t = -52 + w. Let k be 4\/t + 88\/104. Is 2\/5 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.588 times -3\nAnswer: 1.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 154 = -94 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(4\/1 + (0 - 1)). Suppose n*m = 8*m. Which is the nearest to m? (a) 0.5 (b) 5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256272, -1025212, -2306772, -4100946, -6407728, -9227112, -12559092, -16403662?\nAnswer: -20760816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -14. Suppose i*q = 10 + 2. What is the second derivative of 6*w**4 - w + q*w**5 - 6*w**4 wrt w?\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3134 (base 5) to base 13\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003532 rounded to 4 dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 390.\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3245521832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-4)\/(-12)*-1. Let x(q) = -5*q. Determine x(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p**3 + 2*p**2 + 1 - 10*p**3 + 3*p - p in the form y*p + u*p**3 + f + o*p**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26920816 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -25899.\nAnswer: -1\/25899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*1789 - (-93 - -98)?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*m**4\/13 - 22*m**3\/13 + 2*m**2\/13 + 38*m\/13 - 12\/13 = 0. Calculate m.\nAnswer: -3, -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1632665742 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 1525*j**2\/3 + 284275*j + 498591375.\nAnswer: -(j - 965)*(j + 1245)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10745 = 5*c + 2*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 8:31 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 1.6, 5, 1043, -1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -8 - 16. Let k(c) = -3*c - c**3 - 24*c**2 + 31*c**2 + 18*c - 14. Let w(g) = g**3 - 7*g**2 - 16*g + 15. Let m(s) = -6*k(s) - 5*w(s). Give m(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = -3*y - 163. Let p = y - -196. What are the prime factors of p?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**2 + 50*i - 14. Let w be o(8). Let f(n) = -n + 4. Let a be f(2). Let l(p) = -p**a + 1 - 7*p**2 + 2*p**3 + 8*p**2. Calculate l(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 1. Let f(k) = -k**3 + 2*k**2 - k. Let i be f(1). Let u be p(i). Let n = u + 15. What is the remainder when n is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 26*r - 126. Let g(t) = 6*t - 31. Let j(k) = 2*b(k) - 9*g(k). Let m be j(-5). Calculate the highest common factor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 9*v**2 + 9*v + 7. Give t(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/5*35\/21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 32?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 6 = -m. Let r = 3 + m. Factor 3 - q**3 - 3 + r - q**2 + q.\nAnswer: -(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**4*y*y**1*(y**0)**21*((((y*y\/(y**(3\/8)\/y))\/y)\/y)\/(y**(-1\/3)*y*y))\/(y**5\/(y\/(y**6\/y))) assuming y is positive.\nAnswer: y**(-265\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -66323868.\nAnswer: -198971604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2. Let f(b) be the second derivative of 1205*b**4\/4 - 3140*b. Give y(f(m)).\nAnswer: 13068225*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 1\/5 (c) 5 (d) 0.054\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29, 325, 1135, 2717, 5329, 9229, 14675, 21925?\n\"Answer: 43*b**3 - b**2 - 2*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2. Let i(p) = p. Let j(x) = 8*x. Suppose 0 = 4*g - 12, 0 = y + y + 5*g - 11. Let l(r) = y*j(r) + 18*i(r). What is s(l(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7769.208 litres?\nAnswer: 7769208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lya when three letters picked without replacement from lalllaalaaaaayl.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 54*q - 28*q + 61*q - 64. Let d(x) = 88*x - 62. Let i(f) = -4*d(f) + 5*k(f). Differentiate i(h) with respect to h.\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 9:25 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tatt when four letters picked without replacement from aatattaaaat?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 8\/1 - 6\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(51)\/sqrt(3) + 5)*-4 - sqrt(102)\/(sqrt(60)\/(sqrt(20)\/sqrt(2)))))**2 + 0 + -5.\nAnswer: 820 + 200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*d + 9*d + 17*d + 12)*(-6*d**3 + d**3 + 2*d**3).\nAnswer: -3*d**4 - 36*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033366 less than -688746025?\nAnswer: -688746024.966634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 17*m**2 - m - 5. Give j(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 - (-144 - 3710\/(-20))?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1001 + 1001.069. Round s to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -165 (b) 2\/43 (c) -11.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8613*i**2 + 110*i + 8625*i**2 - 55*i - 55*i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*2\/(-9)*-9. Suppose 0 = l*n - 7*n + 4. Suppose -16*r + 69 = -171. Solve 5*s = 2*j - 3, -n*s = -s + 3*j - r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 238323 + -3820689\/16. Let i = -475 - n. Let b = 87683\/22 - 3987. Calculate the common denominator of i and b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*z - 332 = 1555, 3156 = 5*i - 3*z. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 + 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/7, 156429, 3\/8, 0, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/15)\/(2\/6). Suppose -m*x - x = -39. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547646.3l in millilitres?\nAnswer: 547646300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -580.291548 - -22.\nAnswer: -558.291548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457*x + 2382*x - 178*x.\nAnswer: 1747*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/6660 and 53\/660?\nAnswer: 73260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**26*l*l**(-8\/3)*l*l*l assuming l is positive.\nAnswer: l**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -117, -272, -489, -768, -1109, -1512?\nAnswer: -1977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 329 = 4*u - 273, -5*u + 13*p + 131 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/10 + 32\/5. Let m(h) = -5*h + c*h + 3 + 3*h + h. Let o(g) = -g - 1. Let b(q) = -m(q) - 4*o(q). Calculate b(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423*m**2 - 8*m**2 - 259*m**2.\nAnswer: -690*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 1, b: 2, i: 1}. What is prob of sequence bb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 87038533, 87038538, 87038555, 87038590, 87038649, 87038738?\n\"Answer: s**3 - 2*s + 87038534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 82*i**2 - 4. Suppose h = 2*a - 3, 61*a - 58*a - 37 = -5*h. Let d(w) = -1. Calculate a*d(j) - t(j).\nAnswer: -82*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*c + 879 + 5929 = 35*c for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800) - sqrt(800)*-3) + sqrt(800))\/(2*sqrt(4)*-6).\nAnswer: -25*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42\/59 + -4797\/6490. Let d = 173\/110 - u. Determine i, given that d*i**2 - 2\/5*i**5 - 12\/5*i**3 + 8\/5*i**4 + 0 - 2\/5*i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/826998 and -107\/22.\nAnswer: 9096978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17 + -23 + 13\/1. Sort p, 2, -8, -2 in decreasing order.\nAnswer: p, 2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n - 3 + n + 1 + (3*n - 49 + 70 + n)*(-54 + 0 - 7).\nAnswer: -243*n - 1283","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (3 - 0)) + (7 - -6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -823837 and 111.\nAnswer: -91445907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -95, -172, -269, -386, -523, -680?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -0.013532 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1292.136 and -1128.12.\nAnswer: 164.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 0 (c) 1\/23 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 11:20 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (6 + 1 + -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**2. Let b(l) be the first derivative of -2488*l**3\/3 - 9622. What is x(b(i))?\nAnswer: 37140864*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = 168*r - 4174. Let h = 76 - 49. Is r at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 232723012808810 + -232723012809733.930057447155. Let o = 0.069946862845 - d. Let y = o - 924. Round y to 7 decimal places.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + r = -904, 4*q - 4*r - 1812 = -0*r. Let n = 523 - q. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40bc (base 14) to base 2\nAnswer: -10101110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 998291 (base 12) to base 7\nAnswer: 26512450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*q - 3*q = -140 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*o = -263*o - 784 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6188 and 5304?\nAnswer: 37128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from {i: 2, n: 2, w: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296576283 is divided by 148288138.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*j**2 + 45*j**3 - 158*j**4 - 31*j**2 + 19*j**2 - 45*j**3 wrt j.\nAnswer: -3792*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 2*i - i + (0 + 0 - 1)*(-4*i + 4*i + i) + 335*i - 165*i - 162*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) 4\/13831 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*h + h + b, -2*h + 2*b = -6. Calculate the smallest common multiple of 11 and h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**2\/5 - 64447221*i = 0.\nAnswer: 0, 107412035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**4\/4 - 13*q**3\/3 - 13*q**2\/2 + 9*q + 9. Does 23 divide n(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 7*p = -4*p. Suppose p = 7*k + 11*k - 180. Solve -k = 5*d + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**3\/3 - 3*j**2 + 9*j. Determine x(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 69523*h.\nAnswer: h*(4*h - 69523)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-1 + sqrt(192)) - sqrt(192) - 2*(sqrt(192) + 0)) + -3)**2.\nAnswer: 80*sqrt(3) + 4801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*a - 5138, 6*w + 32*a = 28*a + 15392. Is w at least 2562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = -12. Let i(x) = -x**3 + 5*x**2 - 5*x + 6. Let k be i(u). Let b = -5 - k. What is b rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -8 + 4 + 1 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -69934138 - 13734\nAnswer: -69947872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 431083 > 431081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4740767.64 minutes to weeks.\nAnswer: 470.31425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c = 0. Suppose 6*a + 5*v = 4*a + 33, -3*a - v = -17. Suppose 5*f - a*f - 5 = c. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c - 51. Let f be h(20). Calculate the greatest common divisor of 2 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1152)*-1.\nAnswer: -72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 10001101?\nAnswer: 10010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = n - 3*i, -i - 2*i - 3 = -3*n. Suppose 4*k + 20 = -2*b, -n + 1 = -b + k. Which is bigger: b or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-14)*(-7)\/3 - 3. What is the closest to 0.06 in 1\/2, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - r = 3 + 7, -5*r + 6 = 4*c. Suppose -5*m + 2 = -13, 4 = -5*d + 3*m. Sort -1, d, 2, c.\nAnswer: -1, d, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 40 = -0*r. Let h(o) = 2*o - 14. Let m be h(r). Let -1 + 5*u**4 + 2*u**3 + m*u**2 + 9*u**4 - u - 15*u**4 - u**5 = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {y: 1, t: 4, n: 4, c: 1, p: 6}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1020 (base 5) to base 7\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2 + g**3 + 2 - 7 + 2. Let m be b(-3). Let s be 22\/33 + 62\/m. Solve 5*c = -z - s - 6, -5*c - 11 = -2*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 4. Let m be h(0). Put 2\/27, -2, m in ascending order.\nAnswer: -2, 2\/27, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3\/8 (c) 5 (d) -0.5 (e) -116151 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3)*u*u)**21\/((u*u**6)\/(u*u\/u**8)))**(-1\/37) assuming u is positive.\nAnswer: u**(34\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6443356ng in kilograms?\nAnswer: 0.0000000000006443356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3 = -3. What is the derivative of 5*u**3 + 3*u**n + 2 - 9 + 0*u**3 wrt u?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 - 2*m**4 + 0*m**3 + 5 + 4*m + 2*m**2 + 0 - 7 as r*m**2 + t*m**3 + u*m**4 + c*m + g and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 372*c - 598752.\nAnswer: 2*(c - 462)*(c + 648)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 15. Calculate the remainder when z is divided by (2\/(-4))\/((-6)\/72).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, j: 11}. Give prob of picking 1 n and 3 j.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/6)\/g)\/(g**(-1)\/g))\/(((g\/(g*g*(g*g\/(g*g\/g**4*g))\/g)*g)\/g)\/(g**(2\/3)\/g)) assuming g is positive.\nAnswer: g**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4865, 7856, 10845, 13832?\nAnswer: 16817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 28. What are the prime factors of 7\/(((-1)\/w)\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 2*j - 1. Suppose 0 = -2*v, 5*g - v + 3*v + 50 = 0. Let a = -7 - g. Suppose 4*w = 2*h - 2, 4*w + 0*h = a*h + 1. Determine k(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7932 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 - 67. Solve 7 = 4*n - i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 194*k**2 - 12*k - 31. Is w(-3) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2020202 - 10?\nAnswer: 2020142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*u**4 - 5*u**4 - u**3 + u**3 + 3*u**4 + 3*u**3 - 31*u**2 as q*u**2 + r*u + s*u**3 + k + f*u**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 142283 times 1?\nAnswer: 142283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1783 - 235. Suppose -9*s - t = -0*s. Let p = s - -420. Is p a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -233806 + 22?\nAnswer: -233784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 7*p**7\/8 + 91*p**6\/40 + 153*p**5\/80 + 9*p**4\/16 - 36*p + 2. Factor t(g).\nAnswer: 3*g**2*(g + 1)*(7*g + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825 is divided by 386?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.557 + -8.5. Let w = 0.05699542 - g. What is w rounded to seven decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + u - 4*u)*(-3 - u + 3) - 3 - 8*u**2 + 8 - 7.\nAnswer: -9*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2854375, -5708887, -8563403, -11417923, -14272447?\n\"Answer: -2*m**2 - 2854506*m + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 7*m + 3. Let r be y(6). Let x be r - 137*(-3 + 2). Suppose -2*b = -d + 139, -x = -2*d - 3*b + 130. Round d to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r**2 - 19 - 5*r**2 - 16*r - 6*r**2 + 0*r + r**3. Let v be y(17). List the prime factors of ((-22)\/(-4))\/(v\/(-52)).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19559*n - 891 = -19658*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9912 and 336?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 66 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 4*r + 44, -6*u = -13*u + 5*r - 41 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3875*k - 938*k + 5027*k.\nAnswer: 7964*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeelllllelleleeeel. Give prob of picking 4 e.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-12)*(-24)\/(-40).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/7 and 14\/31.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 21\/(-6) + 3. Put 1\/4, 5, c in ascending order.\nAnswer: c, 1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2215931 is divided by 114.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/165 and 67*((-136)\/252 - (-12)\/28)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.6211 - -3.7211. What is the nearest to 6\/7 in 0, 1, f, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o - 8. Let f be z(-6). Is 6 a factor of (1 + (-8)\/f)*-18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 1359630.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1458366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**2. Let t(i) = -3*i**2 + 2*i. Let k(s) = 12*s**2 - 6*s. Let f(w) = 2*k(w) + 10*t(w). Calculate f(v(b)).\nAnswer: -96*b**4 - 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 50*l**2 + 45*l.\nAnswer: 5*l*(l + 1)*(l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12.2, 28, 467, 3 in increasing order.\nAnswer: 3, 12.2, 28, 467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017 is divided by 119.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = -2*g. Let a(v) be the first derivative of v**3\/3 - 5*v**2\/2 - 8*v + 3. List the prime factors of a(g).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 2*t - 2. Let i(z) = z + 1. Let m(x) = g(x) + 2*i(x). Let k(d) be the third derivative of -14*d**5\/15 - 27*d**2 - 5. Give m(k(r)).\nAnswer: 3136*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9020729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43300 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 - 4*g**2 - 5*g + 4. Suppose -w - u - 56 = -6*w, 29 = 3*w + 4*u. Calculate the least common multiple of n(4) and w.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69192*f**2\/5 + 103416*f\/5 + 38642\/5.\nAnswer: 2*(186*f + 139)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155 - -197. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -908635, -1817276, -2725921, -3634570, -4543223?\n\"Answer: -2*d**2 - 908635*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.229995 rounded to 1 dp?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 + 16 - 64 + 15 + 88023*w + 16)*(-3*w**3 + 3*w**3 + 2*w**3) as n*w**4 + z*w**3 + t*w**2 + o*w + d and give n.\nAnswer: 176046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 9:56 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-154)\/4)\/((-1974)\/564)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2052766, 5, 0, -51 in descending order.\nAnswer: 5, 0, -51, -2052766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 55*u - 3. Let g(y) = 21*y**2 + 3*y**3 + 14 - 6*y**3 + 8 + 4*y**3 + y. Let r be g(-21). Does 49 divide f(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 6696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3824 - -3823.81. Which is the nearest to -2? (a) p (b) -2\/19 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -0*f + 26. List the prime factors of -4*(f + (-33)\/(-12)) - -1520.\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3\/4 - 35*a**2\/4 - 303*a\/4 - 621\/4 = 0.\nAnswer: -23, -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) -10 (c) -5 (d) 3\/5 (e) -1\/10 (f) -103 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2418 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/3 + 23530*l**2 - 5885113*l + 17584750\/3 = 0. Calculate l.\nAnswer: 1, 250, 70339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-31 + 1)\/(6\/(-12)). What is the greatest common factor of c and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d - 5. Let h(t) = t - 2. Let z(q) = -17*h(q) + 6*j(q). Let w be z(-3). Let o = 1.93 - -0.07. What is the closest to o in -2, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0414 and 0.69451?\nAnswer: -0.028752714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11002 is divided by 5343?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*2\/(-2)*9\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 970.5 and 0.712.\nAnswer: 690.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 3*d + 5. Let f be a(3). Suppose -252 = 10*o - f*o. Suppose o*k = 67*k - 100. Solve -5*v - k = -b, 0*b = -b - v + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -188860, -188778, -188696, -188620, -188556, -188510?\n\"Answer: -z**3 + 6*z**2 + 71*z - 188936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 3*d**4\/2 - 2*d**3\/3 + d**2\/2 + 1. Let t be r(1). Suppose 0 = p - 0*p + t. Which is the nearest to 0? (a) 2 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*w + 2814 = 117*w - 2455 - 1725 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12230022 + -3?\nAnswer: 12230013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9310266068 take away 255?\nAnswer: -9310266323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 20 + 36)*(24 - 24 - 9*k) in the form h + t*k and give t.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(6\/19)\/(f*f\/f**(-33)) assuming f is positive.\nAnswer: f**(-659\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/18 and ((-58)\/(-6))\/(3*370\/45).\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/2 - 3)\/(0 + -1). Suppose -2*n - 13 = -3. Put j, 5, n in decreasing order.\nAnswer: 5, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m. Let n be (-1)\/((2\/(-6))\/1). Suppose 4*y + 8 = -2*k + 7*k, -n*k + 6 = -3*y. Let p = y + 0. Determine j(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 587 + -539.2. Let x = s - 48. Sort -2, x, 5 in increasing order.\nAnswer: -2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/2 - 2)\/((-33)\/66)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 9:08 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 52. Let k(f) = -f + 40. Let a(p) = 5*k(p) + 4*x(p). Give a(-22).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12150*p**2 + 24308*p**2 - 12154*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1816 - 1816.46. Which is the closest to -0.1? (a) r (b) -2\/11 (c) 0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/29)*l)\/l**(-1\/12)*(l\/(l*(l*l\/l**4)\/l))**(-16) assuming l is positive.\nAnswer: l**(-16339\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 20*b + 182. Let q be m(-9). Solve -2*y + 1 = -0*d + d, 5*y + 20 = q*d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -35. Let y(k) = k**3 - 15*k**2 + 14. Calculate the lowest common multiple of 6 and y(o).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**2 - 196*m + 552 = 0.\nAnswer: 3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 21*g - 3. Suppose 10 = 5*u - 0. Suppose u = -4*j + 10. Is d(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p - 70 = 44*p. Is 7861\/((-2 - p - 1)\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7) + 3 + sqrt(7) + 2 + (sqrt(847) - (-1*sqrt(847))**2)).\nAnswer: -78*sqrt(7) + 5052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0452 - -49.3248. Which is greater: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(18)*1)\/sqrt(9) + (sqrt(44)\/sqrt(2))\/sqrt(11) + (sqrt(800) - -2*sqrt(800))\/(-5*sqrt(100)).\nAnswer: 4*sqrt(2)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x + 2. Let i(g) = -3 + 5 - 2*g - 1 - 2. Let t(v) = -2*b(v) - 3*i(v). What is t(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1455*u + 3216*u - 358644 = 4692*u + 3966*u for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3842559183 to the nearest integer?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.2178*2.\nAnswer: -30.4356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -4, 832135 in ascending order.\nAnswer: -4, -3, -1, 832135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -16*j**2 + 14*j + 14. Let k(d) = d**2 - d - 1. Determine -5*b(w) - 70*k(w).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2418596\/13 - 186046. Let l = 0.01 - -3.99. Sort f, -32, l, -2 in decreasing order.\nAnswer: l, f, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 160*l**2 - 249115*l - 7785.\nAnswer: 5*(l - 1557)*(32*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.2\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -21821.19?\nAnswer: -21823.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2. Let f = 9 - 7. Suppose -h = h + f. Let k be n(h). Solve k*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iimv when four letters picked without replacement from {m: 2, i: 3, v: 15}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5373 from 0.108017.\nAnswer: -5372.891983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -794*s**6 + 1591*s**2.\nAnswer: -95280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -8. Let y be -5 - 1\/(1 + -2). Let j = y + 6. Calculate the highest common factor of t and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3914)\/(-7) + -1 + 54\/63 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.18 - 85.82. Let k = y - -103. Let b = 15.0368 - k. Round b to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*r = 202, 4*c - 4*r = -0*r + 232. Suppose 888000 = 65*q - c*q. What is q rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1719 - -1720.378. Let f = 2.465 - o. Let g = 0.087 - f. What is the fourth smallest value in g, -0.06, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-2 - 1) + -4 + 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, l: 4, r: 7}. Give prob of picking 1 m and 1 r.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2346, -2348, -2350, -2352, -2354?\nAnswer: -2356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16 times -17\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 5*f + 5, 4*u + 17*f - 20*f = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gregeeg. Give prob of picking 3 g and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 8060168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -2*i + 34, -14 = 5*i - 3*i + j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Let o(q) be the first derivative of -44*q**2 + 1081. Determine o(n) - 66*v(n).\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7988741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s = 2*h + 24, -s + 2*h + 8 = 0. Suppose 6 + 2 = s*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-60)*-6*(-2)\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010 (base 2) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*h**4 - 11 - 7*h + 2*h**2 + 38*h**4 + 4*h**3 + 16*h**4 - 6*h**3 to the form f*h**2 + a*h**4 + s*h**3 + p*h + i and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000223648 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g*s**5 - 178*g*s**4 - 2*g*s**3 + 413*g*s**2 - 7 wrt s.\nAnswer: -60*g*s**2 - 4272*g*s - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5753 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -13*t + 4. Let n(m) be the second derivative of -1\/60*m**t + 1\/150*m**6 - 1\/100*m**5 + 0*m**2 + 1\/30*m**3 + 2*m + 0. What is k in n(k) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/((-32)\/(-20)))\/(6\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0*c + 0*c)*(563 + 1152*c**2 - 563)*(-5*c - 4*c + c).\nAnswer: 18432*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 7049768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 3203111.4569.\nAnswer: -3203111.8569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/9 (b) 4\/5 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38886215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8316328ug to milligrams.\nAnswer: 0.0008316328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-116.29.\nAnswer: -116.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 592957747*s - 546682096?\nAnswer: 592957747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3 = 22. Solve t = l*g - 18, -4*g + 2 = -5*t - g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22413 is divided by 7463.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 1. Let k(w) = -121*w. Let y be k(o). Suppose -4*j - a = -y - 43, -4*j + 152 = -2*a. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/15*(-25 - 0). Let t = n - 14. Let c be 3\/t + 75\/4. Calculate the greatest common factor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 1, 0 in descending order.\nAnswer: 4, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4.017528 days?\nAnswer: 347114.4192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2197*p - 2588*p - 232648 = -126*p - 185*p for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 10:37 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 836 divided by -11\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 89*b - 1752. What are the prime factors of i(59)?\nAnswer: 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164262 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/18*2)\/((-6)\/(-108)). Let t be (-2 - v\/4)\/((-4)\/16). What is f in -2\/15*f**3 + 2\/15*f**t + 0 + 0*f = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8377719*a = -8377723*a + 3*p + 42, -2*a + 54 = -7*p for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3598712 = -173*m - 3583834 for m.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**5 - 63*n**2 - 182*n + 1?\nAnswer: -60*n**3 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c - 1. Let f(q) = 1 + 25*q - 15*q - 4*q. Suppose -5*w = 3*t - 34, -3*t + 7*t + 2*w = 22. Calculate t*f(r) + 4*x(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2308061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 + 0*o**3 + o**3)*(-77*o**2 + 95*o**2 + 246*o**2).\nAnswer: 264*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2287*m**2 - 56*m - 130. Let l be d(-3). Is l < -20544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -2*m**2 - 45 + 0*m + 19\/24*m**4 + 11\/3*m**3. Find the first derivative of w(l) wrt l.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4978, -4971, -4962, -4951, -4938?\n\"Answer: s**2 + 4*s - 4983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = 5*n - 3*n, -3*l + n + 6 = 0. Factor 4*x - 4*x**l - x**5 - 30 - 3*x**3 + 30 + 4*x**4.\nAnswer: -x*(x - 2)**2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 322.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-64))\/(10\/40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7580*m + 15173*m - 7593*m - m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -403174, -403071, -402968, -402865, -402762, -402659?\n\"Answer: 103*f - 403277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykkyryskksvmks. Give prob of picking 1 v, 1 r, and 1 y.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/10)*i*i\/i**(2\/5))\/(i**5\/i**(1\/3))*(i**(-6)\/(i*i*i*i\/(i\/(i**(2\/7)\/i*i))))\/(i**(-1)*i\/(i**(-7)\/i)) assuming i is positive.\nAnswer: i**(-859\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 925, 926, 927, 928, 929?\nAnswer: 930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + 3*p**2 + p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4476380 and 110.\nAnswer: 49240180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4103452?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 11:07 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/11426 and -91\/814?\nAnswer: 4650382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-6 + -2 + 1 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19784 - 19784. Find h, given that 80\/3*h**4 + 4\/3*h**2 - 32\/3*h**5 + b - 34\/3*h**3 + 0*h = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11075089?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -70374405 to the nearest one million.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 30*g. Let h(u) be the third derivative of 7*u**4\/6 - 412*u**2. What is h(l(q))?\nAnswer: 840*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 59438517 + -5421.7\nAnswer: 59433095.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:42 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**2\/2 + 5*t - 2. Let w be 4 - -2 - (-6 - 7). Suppose -240 = -11*a - w*a. What is s(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 0.055.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 125791 = -k, -10*k + 14*k - 503220 = 2*u. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 662.1 + -679.96. Round d to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4 + 4. Suppose -p - 28 = 3*p. Let y(o) = -o**2 - 7*o + 4. Let h be y(p). Solve k*c = h*c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u - 5639534 = -19387826 - 11933508. What is u rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8 + 3*c**2 - c - 2*c - 1. Let d be k(-5). Let x = d - 47. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m + 24582 - 23742 = 0 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/20)\/(4\/(-10)). Let n = z - 1. Let t(c) = 2*c**2 - n + 2. Let s(o) = -2*o**2. Give t(s(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnaaahaa. Give prob of sequence nn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - b + 1. Let x be h(-1). Solve -o - 17 = 5*g, -5*o + x = 4*g + 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8296273567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exqeebxqemeqebx. Give prob of picking 3 b and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.61 (b) -3\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -9*n + 5. Is (549\/(-15) + 2\/n)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.814731942 and -0.0129.\nAnswer: 0.801831942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -251.\nAnswer: -1255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115 + -102. Let p = 112 - h. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/27 - (236964\/(-351))\/(-28))*3.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -18 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303660 divided by -4?\nAnswer: -75915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 23 = 4*j, -f + 1 - 6 = 0. Let x(b) = b**2 - 4*b - 5. Let v be x(6). Suppose v*l = j*l + 125. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = p + 3*v + 2*v, -2*p + v = -18. Suppose -6*x - 6 = -p*x. What is the greatest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -10. Suppose 2261 = 3*y - 5*c, t*c + 3747 = 5*y - 3*c. What is the remainder when 2\/4 - y\/(-18) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:14 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3141\/2094)\/(42\/(-32)) + (-561)\/(-1232)\nAnswer: -11\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 divided by 12.\nAnswer: -89\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 64 = 4*s. Suppose 32 = 184*n - 176*n. Solve -n*a = -8*a + s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6, 3*f = -8*c + 5*c + 63. Solve 0*b = c*b - 108 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*f - q - 67, 49 = 2*f + 3*q. Let v be (-4)\/(-2) - (0 - -2). Suppose p = f - v. Calculate the remainder when 45 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**2 - 90*x + 178*x - 88*x.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r + 10. Let v be n(-7). Let s = 11 - v. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6059?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-12))\/((19 + (-6164)\/335)\/(8\/(-465)))\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0\/z)**(-2\/9)\/(z**0\/z**6))**(-27\/7) assuming z is positive.\nAnswer: z**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (18320\/(-1020) - -5) + (-10)\/255?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4903978?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45634 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, 0, 1, -3 in ascending order.\nAnswer: -153, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146725 + 146724.8. Suppose -j - 4*u = 2*j, 2*j = 2*u + 14. Let g be j\/(-14) - (-20)\/21. What is the closest to g in -9, r, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3908361 micrograms in grams?\nAnswer: 0.0000003908361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28826851*v + 415 = 28826934*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(6)\/(sqrt(2) - sqrt(32)) - sqrt(3)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 425713387 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1184 and -31\/46816.\nAnswer: 1732192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 3. Suppose -2*s - 6*r = -3*r - 23, s = m*r + 5. Suppose -23 = -3*p + s. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59.9 - -613.9. Let w = r + -559. What is the second biggest value in 5, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 - (-2 - 12) - 1. Suppose 5*v - 2 = -2*z + 13, z = -4*v + 12. Solve z = -5*w + 32 - i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhliihirlhrriior?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + d + 20. Suppose 9*z = d*z + 25. Suppose 6*o - z*o = 20. Calculate the smallest common multiple of o and 112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-6)*(7 + 338)\/5. Let v = 1615\/7 + x. Is v at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1 + 5 + 3 + s**2 - 18*s - 2. Let o be g(15). Let k = o + 88. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 s when four letters picked without replacement from ejeexeseseesesesss.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*l - 109*l = -i, 5*l + 13 = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = 5*y + 28*s - 29*s + 33, 3*s = 9 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8103.7 - -8104. Which is the fifth smallest value? (a) 1 (b) -2 (c) m (d) -15 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 15 = -2*l, 0 = -4*l + 3*l + 333198*d - 333196*d - 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aay when three letters picked without replacement from yavayyaaaaiaqayyaaya.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48)\/72*(-15)\/2. Suppose -398 - 2 = z*k. What are the prime factors of (-33)\/(-6*(-5)\/k)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 376 - 383. Let m = -7 + 4. What is the biggest value in 4\/7, m, g?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95393713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (30 + -10) - -20\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*y + 189*c**3 + 8*c*y + 12*y wrt c?\nAnswer: -6*c*y + 1134*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2422 - -2422.2. Sort -0.1, 0.0904, x, -4 in descending order.\nAnswer: x, 0.0904, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-130)\/(-8))\/(12415\/(-76400))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, n: 2, a: 3, y: 3, l: 4, h: 1}. Give prob of sequence vl.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-1)*(-123)\/369)\/(-5*1\/4)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 92251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 72?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110*c**3*h**3 - c**3*h**2 - 1074*c**3 - 6*c**2*h**2 - 4*c*h**3 wrt h?\nAnswer: -660*c**3 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 7 - 12 = 2*q, 4*q + n + 5 = 0. Let l = 282565 - 282564. Put 3, 6, q, l in descending order.\nAnswer: 6, 3, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.54 + 22.2. Let f = 12.5358 - p. Round f to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4\/9, 5, -3, -686870, -0.2 in descending order.\nAnswer: 5, 0, -0.2, -4\/9, -3, -686870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -7206 and -21620\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -46*m - 50. Is 9 a factor of q(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 25*f**2 + 19*f + 62. What is the tens digit of d(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7970256579 to the nearest integer?\nAnswer: 89276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4935, -4230, -3047, -1380, 777, 3430, 6585?\nAnswer: 10248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5*j + 11 = 0, -3*t = -5*j + 20 - 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 246233 times -1248\nAnswer: -307298784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 928194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.87, -1, 1\/5 in descending order.\nAnswer: 1\/5, -0.87, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -55. Let b(i) = i**x - 6*i**2 - 2*i + 6*i - 4 + 6*i**3 - 5*i**3. Calculate b(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/12)\/(9\/(-48)). Suppose 4*g - 5*m - 4 = 4, -2*g - m + b = 0. What is the greatest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54037294 - -4?\nAnswer: -54037290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10010101 (base 2) to base 12\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -7460.63\nAnswer: -7460.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2223 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -21, -38?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, f: 1, j: 1, m: 2}. Give prob of picking 2 n and 1 j.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -3, 5, -4 in descending order.\nAnswer: 5, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/4*(117 - 115)\/((-18)\/42)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**6\/6 - 17*i**4\/2 + i**3 + 51. What is the third derivative of z(j) wrt j?\nAnswer: 60*j**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.3 + 55?\nAnswer: 62.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 2*j + 3 = 0, -i - 2*i = j - 314 + 316 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2922, 5850, 8800, 11784, 14814, 17902, 21060, 24300?\nAnswer: 27634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 2*s. Let o be d(0). Suppose -2*q + 2 + 10 = o. Find the third derivative of 0*x**q + 6*x**6 + 16*x**2 - 11*x**2 wrt x.\nAnswer: 720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*b = -52*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + 22*r = -326166. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 57 - 12. Suppose r*s = 6*s + 72. Let t = -880 - -2662\/3. Which is bigger: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.776309*3\nAnswer: 2.328927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217863 is divided by 1379?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = m. Suppose -1 = -v + m. Solve -3*z = -4*f + z + v, -z = f + 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27572873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 64*s + 301. Calculate o(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/10)\/((-15)\/200*4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**3\/3 + 4*o**2 - 6*o - 1. Let j be u(6). What is the second derivative of 3*w - 5*w - j*w**5 - 3*w**4 + 3*w**4 wrt w?\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165*s**5 - s**3 + 3*s**2 - 453540*s wrt s.\nAnswer: -3300*s**3 - 6*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 502114041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088369995 rounded to 3 dps?\nAnswer: 0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 37231*b - 74458.\nAnswer: -(b + 2)*(b + 37229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -14649, -3, -1, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -5. Let x(g) = -2*g + 4. Let b be x(w). Let a(u) = u**2 + 5*u + 3. Let d be a(b). Which is greater: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58084532 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 10:56 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + 29 - 29 - 11*l**3)*((-1 + 2 + 1)*(-2*l - 2*l + 3*l) - 3*l - 3*l + 2*l - l - 3*l + 8*l) to a*l**4 + g*l**2 + m*l + x*l**3 + c and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 1 + 1)*(54*n - 43*n - 44*n).\nAnswer: -33*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -25.7. Let k = 47.824 + -41.77. Let a = 0.054 - k. What is the third smallest value in 1, -1\/4, g, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 1 = -4*q - 3*m, -4*m - 12 = 0. Let o be q + 2 - (-3 - -6). What is the closest to 2 in -2, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69048?\nAnswer: 2, 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o - 31 = -3*l, -5*l + 5 = 0. Let d be 2 + 2\/o*34. Let f = -73\/40 + 21\/8. Which is the second smallest value? (a) f (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/22 and 83\/770?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -400, -909, -1624, -2545, -3672?\nAnswer: -5005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 15 (c) 113.446\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -132*d**3 - 3*d**2 + 8*d - 6. Let n(r) = 132*r**3 + 4*r**2 - 8*r + 7. Let u(y) = 2*j(y) + 3*n(y). Is u(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4937 rounded to 1 dp?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6879.12258562 less than 89?\nAnswer: -6790.12258562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19968 and 2304.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722*v + 59*v + 10377 = 76066 + 12545 for v.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -844 = 9*q - 898 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119866 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**4\/36 - g**3\/9 + g**2\/2 - 7*g - 10. Let z(n) be the first derivative of j(n). Factor z(a).\nAnswer: -(a - 1)*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1029071257 divided by 797.\nAnswer: -1291181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 6*k**2 - 3*k + 3. Let w be a(-5). Let c be 273\/(-1638) + 1657\/6. Let t = w + c. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 5*f - 7. Suppose 4*v = -3*h + 10, 5*h + v = 5*v + 38. Calculate j(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 168 + 267 = 2*x, 2*x - 5*d = 429. Suppose -49 = 7*w - x. Suppose 19 = -3*q + 97. Is w < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 37 = 43, -3*n - 204 = -g. Suppose -x - 4*b + g = -9*b, 2*b - 836 = -4*x. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**5\/160 - 19*v**4\/48 + 107*v**3\/48 - 35*v**2\/8 - 663*v. Let x(g) = 0. Calculate g.\nAnswer: 1, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 4)*(0 + 3 - 5)*(6074*z + 554*z**2 - 6074*z + (2*z + 0*z + z)*(5*z - 5*z + z)) as s*z**2 + j + q*z and give s.\nAnswer: -2228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -14 + 14. Suppose -j + 5*j + 4*a = 192, o = -5*a. Calculate the highest common factor of 192 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -765, 0.4, 22\/5, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 3 + g)*(-5674 + 11011 - 5722) in the form j + q*g and give j.\nAnswer: -770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/3)*g)\/g**(-2\/3)*g**5\/(g*g**(-4\/9)) assuming g is positive.\nAnswer: g**(58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, -3\/2, 1.\nAnswer: -3\/2, 0.3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.19731+-324760767.4\nAnswer: -324760768.59731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7 and 1?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/(k\/k**(-5))))\/k**(3\/5))**(-1\/2)*(k**(2\/7))**(-12\/5)\/(k\/(k\/((k**7*k)\/k)*k)*(k\/(k\/(k\/(k*k*k\/(k*k*k*k**(1\/6)\/k)*k))))\/k) assuming k is positive.\nAnswer: k**(-1481\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(36)*-2 + (-3*(sqrt(900) + sqrt(36)) - sqrt(36)))\/((sqrt(144)\/sqrt(3)*5)\/(sqrt(16)\/(sqrt(16)\/sqrt(4)) + sqrt(4) + sqrt(4))) + 1.\nAnswer: -39*sqrt(3)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1558*x - 1403*x + 513*x + 218 - 218.\nAnswer: -2448*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 0*v + 0*v**5 + 0*v**2 - 8*v**3 - 30 + 5\/3*v**6 + 0*v**4. Find the third derivative of j(x) wrt x.\nAnswer: 600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(5\/13))\/t)**(-21) assuming t is positive.\nAnswer: t**(105\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -1\/10*n**6 + 0*n**5 - 9 + 1\/3*n**4 + 1\/3*n**3 + 2*n**2 + 3*n. Find the second derivative of q(d) wrt d.\nAnswer: -36*d**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/24260 and -87\/31538.\nAnswer: 315380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j + 2*j + 4*j)*(8*j + 3 - 3) in the form i*j + p + y*j**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**5 - 3*y**4 + 22893*y**3 - 80592*y**2 + 8*y wrt y.\nAnswer: 120*y**2 - 72*y + 137358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 14 = 10. Let f = 12 - 8. Let v be -1*3*f\/(-4). Which is bigger: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-1 - -82)*1. Let x = 48 - 29. Let q = 46 - x. Calculate the highest common factor of q and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15 + -12)\/(3\/2). Let q(a) = 5*a**2 - 12*a**2 - 14*a**d. Let r(o) = -4*o + o**2 + 4*o + o**2. What is q(r(h))?\nAnswer: -84*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -370, -740, -1110, -1480?\n\"Answer: -370*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*2*-1)\/(sqrt(891) - (sqrt(891)*1 + sqrt(891))).\nAnswer: 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.98\nAnswer: 0.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5177 - 21?\nAnswer: -5208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + sqrt(3) - (-3 + sqrt(48)) - (sqrt(192) + 3 + sqrt(192)*3 + 4)**2.\nAnswer: -3111 - 451*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 46?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*c. Let f(b) = 13*b**2 + 16*b - 1773. Let x(z) = 11*z**2 + 13*z - 1771. Let y(v) = 5*f(v) - 6*x(v). Is y(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -22*v + 4 - 3 - 15*v**3 - 4*v + 28*v. Let c(r) be the third derivative of -r**4\/12 - 5*r**3\/2 - 7*r**2. Let g be c(-7). What is y(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18ba011 (base 14) to base 6.\nAnswer: 1115125503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*s - 2972 - 2959 + 8373 = -51*s for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*m - 3)*(4 + 0 - 3)*(0*m + 0*m - 2*m**3 + (2*m**2 + m**2 - 4*m**2)*(m + 0*m + 0*m)).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3\/2 - 1226979*x**2\/2 + 62738349120*x - 2069697484800 = 0. What is x?\nAnswer: 33, 204480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 227.459485 rounded to one decimal place?\nAnswer: 227.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490296 at least as big as 2490295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -817 + 817. Let t(w) be the second derivative of 0*w**3 + 0*w**2 - 1\/10*w**5 + 2*w + 1\/12*w**4 + s. What is the third derivative of t(p) wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -433\/2 and -218 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -33836?\nAnswer: 33831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3*m**2 - 332\/3*m - 22.\nAnswer: -2*(m + 33)*(5*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -52, -115, -202, -313, -448?\n\"Answer: -12*m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*v, 3*a + a + 3*v = 28. Suppose d - 16 = 2*o, -o = -4*d + 3*o + 48. Let h = 20 - d. What is the lowest common multiple of a and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*(-15)\/120*-2762.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 0.10902 (c) 0 (d) -1\/9 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 12 = -5*a + 3, 4*l = 3*a - 14. Sort -8, 4, l in decreasing order.\nAnswer: 4, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 5:16 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = -85*i + 494 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*4\/(-20)*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/4347 and -17\/8843751?\nAnswer: 610218819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 0 + 0 + (0*g - 4*g + 2*g)*(2 - 5 + 5)*(2565 + 26*g - 2565).\nAnswer: -105*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117474, -236034, -354594?\nAnswer: -473154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 6759*g + 156506. Give y(-23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 882893636*v**5 - 434584767*v**2?\nAnswer: 52973618160*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6458, -6329, -6200?\n\"Answer: 129*x - 6587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 1812*c**2\/5 + 2073*c\/5 + 261\/5 = 0.\nAnswer: -1, -87\/604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2840796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4440000 rounded to the nearest one hundred thousand?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 - (26 - (27 - 1)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 - n - 22. Let i(h) = -h**2. Let q(t) = -2*i(t) - k(t). Give q(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8795348 take away 850.2?\nAnswer: 8794497.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 - 4*(-44)\/40. Suppose 0 = -k*y - 2*y + 24. Solve y*a - 2*a = -4*n + 4, 0 = 2*a - 5*n + 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 3:59 AM?\nAnswer: 378","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -92.2 + 92. Suppose 2*y - 7*y + 10 = 0. Let v be (-1 + 2)*(0 - 1). What is the closest to v in y, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 277899 by 16347.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208366863 to the nearest integer?\nAnswer: 14435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 22. Let q be 5 + (-30)\/(-70) + (-4)\/(-7) + -2. Let w(a) = a + 22. Give q*w(h) + 3*k(h).\nAnswer: h + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2720 and 2146250.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, g: 10}. Give prob of picking 1 g and 3 b.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6.5 * 95.0455\nAnswer: -617.79575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 53. Solve 0 = 3*k + 2*h + 20, -u*h = -2*k + k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 107 - ((7 - 3) + -3). Suppose 4*z - q + 38 = 0. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 5*z + 4. Suppose -j = -2*v - 2 + 3, -2*v - 29 = 5*j. Does 4 divide y(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.19? (a) 0.01 (b) -260 (c) -1 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*(sqrt(5) + (2*sqrt(45) + sqrt(45) - sqrt(45))\/sqrt(9) - sqrt(5)))**2 + 3*(sqrt(405) - -2*(sqrt(405) + 0 + sqrt(405))**2).\nAnswer: 27*sqrt(5) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1982941.29ns?\nAnswer: 0.000000022950709375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*l**2 + 186 + 122*l**2 - 186.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(0 + -4 + 3). Suppose -3*h - 3 = 0, -5 = 3*k + 2*h + x*h. Suppose 4*i - 2*i = -4*f + 16, k = -5*f. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s - s**3 + 0*s)*((-2*s + 0*s - 2*s)*(0 + 5 + 61) + 1 - 2*s - 1)*(-1 + 5 + 4) in the form j*s**4 + f*s**2 + c + z*s**3 + d*s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z - 4*p + 18 = -16*z, 2*z + 3*p = 3. Let g(q) be the third derivative of -q**4\/24 + q**3\/6 - q**2. Give g(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313956728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 44, 8*v + 38 = -3*c + 12*v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 5. Let z be h(4). Let o(x) = 4*x + 1. Let b(t) = t + 6. Let w be b(-4). Let s(d) = 6*d + w + 0*d - d. Calculate z*s(k) - 4*o(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40660 by 5.\nAnswer: 8132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (31 - (3 + -5)) + -1. Suppose -h - 2 = -k. Let l(g) = -g**3 + 7*g**2 - 2*g - 8. Calculate the remainder when h is divided by l(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (8 - (12 + -9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26 + 2660?\nAnswer: 2633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 0) + (398 + -370 - (5 + -41)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5942331121 + 903229019015\/152. Let z = x + 34943. What is the common denominator of -127\/24 and z?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 768*b**3 + 763*b**3 - 1534*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 125, 124, 121, 116, 109, 100, 89?\n\"Answer: -t**2 + 2*t + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 4:40 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 3*z - 1. Let n(y) = -3*y**2 - 33*y - 26. Let u(i) = -22*a(i) + 2*n(i). Differentiate u(o) wrt o.\nAnswer: 32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1124, -3020, -4722, -6230?\n\"Answer: 97*n**2 - 2187*n + 966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1148, -1898, -2648, -3398?\n\"Answer: -750*y - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 4\/7 (c) -0.07 (d) 0 (e) 4 (f) 19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 50, 175, 378, 659?\n\"Answer: 39*r**2 + 8*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 32 = -3*u, -3*u - 132*j = -73*j - 87*j - 128 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680919.\nAnswer: 3, 59, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 21*p**2 + 19*p - 9. Let m be q(-20). Calculate the highest common factor of m and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -2*d**3\/15 + d**2 + 33. Suppose a(f) = 0. Calculate f.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 - 1072377*r\/5 - 38606868\/5.\nAnswer: (r - 1072413)*(r + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4409476*l*w**2 + w**2 + 44808*w - 5 wrt l?\nAnswer: 4409476*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 8*j**2 + 3. Let x be c(8). Suppose -x*p + 4 + 2 = 3*n, p + 6 = 3*n. What is the derivative of -9*d**4 + n*d**4 + 4 + 9 - 8*d**4 wrt d?\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - -1 - (332\/(-10) - -15).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295990 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2660*g*w**3 + 2*g*w**2 + g*w - 1354*g + 98*w**3 - 2*w**2 + w - 998 wrt w?\nAnswer: 15960*g*w + 4*g + 588*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 195498 and 152054?\nAnswer: 1368486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 2:38 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 16. Let i(y) be the first derivative of y**3\/3 + 3*y**2 - y - 19. Let c be i(-3). Let a be r(c). Is a bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, l: 2, m: 5, d: 1, n: 3}. What is prob of sequence nm?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 3. Let x(u) = -1. Let b(z) = k(z) + x(z). What is b(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 6, -0.2, -0.03?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-1)\/o)**(-38)\/(o**(-3)\/o*o**(-3\/5)*o) assuming o is positive.\nAnswer: o**(208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474*z - 16*z**2 - 474*z.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(4 - 3 - 3)*((0 - 1 - 1)*(-2*o + 0*o - o) - o + 0*o - 4*o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggbgbg. Give prob of picking 3 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -18862.36103 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/7)\/(52\/195).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -368938, -368930, -368926, -368932, -368954, -368998, -369070, -369176?\n\"Answer: -b**3 + 4*b**2 + 3*b - 368944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f**2 + 6*f - 6. Let k be x(2). Let b = 24 + k. Suppose 14 = s - b. Calculate the lowest common multiple of 5 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1833)\/(-3) + (-2 + 3)*-1. List the prime factors of (g\/6 - -1) + 4\/(-6).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125 - 13 - (-503950)\/(-4500)?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 20) + -2 + 18 + -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.351 - -0.607. Let r = 0.1403 - 0.3701. Let t = x + r. What is t rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/197 + 1384\/985. What is the closest to r in 1\/3, 22, -4, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 37 (b) -3 (c) 1.09 (d) 3 (e) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*d + 3*h + 17, 0 = 5*d + h - 76. Let u = 11 - d. Let k = u - -9. Sort -0.3, k, 0.2 in decreasing order.\nAnswer: k, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*c - 9 = 14, 0 = 4*p + 2*c + 16 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110 - -1001000011?\nAnswer: 1001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 349 + 40 = 2*l, -2*l - 135 = -o. Calculate the remainder when o is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 6:42 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 q when four letters picked without replacement from qnnnqnnnnnqnnnqq.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -23*x + 410, 53*b - 58*b - 2*x + 41 = 0. Let p be (-1)\/(1\/1*257). Which is greater: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*r**2 + 3 - 4 - 25*r**2 + 2*r + 3*r**4 + r**3 to the form z*r**4 + d*r**3 + l + f*r**2 + q*r and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 7. Let c be x(-6). Suppose 0 = -48*g + 43*g + 90. Solve -c*l - 5*n = -3*l + g, 0 = 4*l + 2*n + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*(-13 + -1). Suppose 28 = z*b - 3*b. Suppose 0 = b*j - 2*j - 140. What is the remainder when 111 is divided by j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 165, -0.3, 1, 0.2 in increasing order.\nAnswer: -0.3, 0.2, 1, 4, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*f = -9, -4*z - 2*f + f + 6 = 0. Solve z + 24 = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 156948, 314049, 471352, 628863, 786588, 944533?\n\"Answer: u**3 + 95*u**2 + 156809*u + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1 (c) -300 (d) -0.0414 (e) -2 (f) 1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + -11 - 18) + -15 - (4 - -6)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37114 is divided by 2180.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768158239.\nAnswer: 19, 227, 178103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 60*s**2 + 45*s - 110.\nAnswer: 5*(s - 1)*(s + 2)*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2243 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -221 - -461. Does 7 divide ((-8)\/(-6))\/(8\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 4*j - 3*z, -2*z = 7*j - 5*j - 46. Suppose j*b + b = 46. Calculate the lowest common multiple of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -111221?\nAnswer: 112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 2\/9 (c) -0.1 (d) 11 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147371\/101350 - -12\/2027. Let q(d) = d**3 + d**2 + 3*d + 5. Let p be q(-7). Find the common denominator of 62\/p + 273\/(-110) and t.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -34084 (b) -0.3 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.543323 nanoseconds to minutes.\nAnswer: 0.00000000002572205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13753*s - 646651 - 987494 = 222510 for s.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -30521205 divided by 213435?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 80. Let t(v) = -2842*v. Determine n(t(f)).\nAnswer: 2842*f + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 721.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 = 31. What is the remainder when 206\/6 - 2\/o is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 878.9 - 3889861.\nAnswer: -3888982.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h - 12. Let j be t(5). Suppose 8*v = j*v + 10. Suppose 0*k - 5*k + 65 = -5*s, v*s - 46 = -4*k. Solve k = 6*i - 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + sqrt(98)*1 + sqrt(98) + 1 + -1*((sqrt(98) - 2*sqrt(98)) + 4))**2)*-4.\nAnswer: -3668 + 1008*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4175 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*u + 3, s + 2*u = -2 - 0. Suppose 0 = -2*d + 4*p + 4, 2*p + s*p = 0. Suppose -185 - 601 = -d*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -15*y + 65. Let i(l) = 8*l - 32. Let s(f) = -3*a(f) - 5*i(f). Let w be s(8). Solve -5 + 2 = g, 11 = -2*o - w*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a + 1. Let n be t(-5). Let r be (-26)\/(-6) + 8\/n. Suppose -17*k - k = 36. Sort k, r, -5 in descending order.\nAnswer: r, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 6*o**4\/7 - 189300*o**3\/7 - 946656*o**2\/7 + 189300*o\/7 + 946650\/7 = 0.\nAnswer: -5, -1, 1, 31555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111112 (base 3) to base 12.\nAnswer: 107b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 + z. Let j = 27 - 29. Calculate u(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-14)\/h**(-5)*h**(-6\/11)\/h**(2\/35) assuming h is positive.\nAnswer: h**(-3697\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-294)*7*-7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.44 + -0.5. Let t = w - -1.56. Let m = -1 + t. Which is the smallest value? (a) m (b) -0.5 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8562 rounded to 2 decimal places?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvkvvkz. What is prob of sequence kk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwb. What is prob of picking 1 w and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + 79. Let u be 938\/(-21)*(b + 1). Let x = 92231\/16 + u. Calculate the common denominator of x and -101\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, 11215, -2\/5, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 268831129 to the nearest integer?\nAnswer: 16396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*g + 29 = 5*g, 67 = 2*n + g. Suppose -3*j + 7 = -n. What is the units digit of 42\/j*((-25)\/(-3) - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -13298*z**3 + 18*z**2 - 3. Let y(j) = 19942*j**3 - 28*j**2 + 5. Calculate 14*s(h) + 9*y(h).\nAnswer: -6694*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -17. Let f = 8.2 + u. Let s = f - -7.78. What is s rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -476*k**4 - 2*k**3 + 1060*k**2 - 2*k. Let r(n) = -n**4 - n**3 - n**2 - n. Let o(w) = 2*j(w) - 4*r(w). What is the third derivative of o(c) wrt c?\nAnswer: -22752*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 244 + 231. Calculate the remainder when j is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 2, m: 1}. What is prob of picking 1 m and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2745 - -3071. Calculate the remainder when 648 is divided by j.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4742 - -1?\nAnswer: 4743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 423*(-1)\/(1 - 4). Let l = m - -21. Suppose 6*n = l + 270. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 205*n + n**2 + 17*n**6 - 199*n - 3*n - 51*n**3 - 28 wrt n?\nAnswer: 2040*n**3 - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1035*h**3 - 1258*h**2. Let i(w) = -1039*w**3 + 1257*w**2. Let x(n) = -3*i(n) - 2*k(n). Find the third derivative of x(z) wrt z.\nAnswer: 6282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, p: 2, u: 7, j: 1, w: 6}. What is prob of sequence pupw?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 0)*5 - 18424\/(-1024) - 8.\nAnswer: -1\/128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1021 - -217. Let p = -586 + u. What is p rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/5 - -2)*(-55)\/(-33). Let d be ((-1)\/(-3))\/((-20)\/(-30)). What is the closest to 0.1 in d, -6\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17666, -70865, -159610, -283907, -443762, -639181?\nAnswer: -870170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 7*b - 7. Suppose -5*c + 3*h + 215 = 6*h, -2*c + 95 = 3*h. Let i = c + -37. Let s be n(i). Put 0, -1, s in decreasing order.\nAnswer: s, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - -6621?\nAnswer: 6603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v\/v**(-1\/2))\/v*v*v\/v**(-5)*(v**(-1))**(-2\/39)*(v*v*v*(v\/v**(-1\/2))\/v*v)**19*(v*v**(1\/2)*v)\/(v**(-2\/9)*v) assuming v is positive.\nAnswer: v**(22411\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0)\/(35 - (12 - -1)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 8*g**3 + 189*g**2 + 36*g + 70. Let u be c(-23). Calculate the highest common factor of 255 and u.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/12 - (-70)\/(-72). Let s = -3.6 - 0.4. Put g, 0.1, s in increasing order.\nAnswer: s, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**2 + 7*f + 10. Let j be r(2). Sort -491, j, 2.\nAnswer: -491, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578012.1 micrograms in milligrams?\nAnswer: 578.0121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3162561673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 242887 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63387 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m - 27*m - 34*m + 94*m.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 884, 2822, 6542, 12638, 21704, 34334, 51122?\nAnswer: 72662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 5*s + 195 - 10, j - 49 = -4*s. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4894.409 to the nearest integer.\nAnswer: 4894","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 7:21 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/19)\/(i*i\/(i*i**(2\/3))*i*i))**18*(i*(i*i*i\/(i**4\/i*i))\/i)\/i**(-1)*(i**(-1))**(-2\/53) assuming i is positive.\nAnswer: i**(-44164\/1007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3*j**2 + c**3 - 5797*c**2*j**2 + 3*c**2 - c*j**2 + 17*c*j + 2*j**2 + 84*j wrt j.\nAnswer: 6*c**3 - 11594*c**2 - 2*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g + 3. Let x(t) be the second derivative of -t**3\/2 + 2*t**2 + 4*t. Let p(b) = -4*u(b) + 5*x(b). Calculate p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -85*m - 1 - 33*m - 7*m + 5*m. Is c(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*o = 10. Let b = 2.8 + -3.3. What is the closest to 1\/4 in b, o, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12460 - 2?\nAnswer: 12455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 11 = r. Find the second derivative of -10 - 1 - 3*o + r - 3*o**3 wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 474890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 75131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 323 + -303. What is the lowest common multiple of m and 135?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -655 = -y + 6*s - 3*s, 2*y - 1296 = -s. Calculate the highest common factor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 214412710 to the nearest one hundred thousand.\nAnswer: 214400000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -48603, -97204, -145805, -194406?\n\"Answer: -48601*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3\/9 + 680*f**2\/9 - 7427*f\/9 - 393452\/9 = 0. Calculate f.\nAnswer: -19, 31, 668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 0 - 1\/5*d**2 + 24\/5*d = 0.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 4 - 4 - v**3 - v**3 + 5*v**3 + (2*v - 2*v + v**2)*(-v + 2 - 2) + 2*v + 0*v + 3*v**3 + 0*v.\nAnswer: 4*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49701 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 5. Put -1, v, -0.5 in ascending order.\nAnswer: v, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -153 (b) 2\/7 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*j - 21*j + 77*j)*(25 - 17 - 22).\nAnswer: -1148*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -dbd19 (base 15) to base 16.\nAnswer: -aa757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z = -54. Suppose c + 30 = -5*y + 104, z = c - 5*y. Calculate the greatest common factor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**2. Let w(m) = 80*m**2. Give k(w(a)).\nAnswer: 38400*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 441.9083g?\nAnswer: 441908.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*18\/(-162)*3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/90)\/((-12)\/(-10))*-6\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 11:50 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i + 9*i - 2*i to p*i + v and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -9\/25, -0.1, -2\/29, -32, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -25. Sort p, 2, -1\/7 in ascending order.\nAnswer: p, -1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35519211.\nAnswer: 3, 7, 13, 31, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 14) to base 6.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 5*y - 205, 81 = 2*a + 4*y - 7. Suppose -10*p = -a + 2. Suppose -j + 0*j = c - 64, -p*j - 5*c + 253 = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -587048691*r**3 + 637480469 with respect to r.\nAnswer: -1761146073*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/7 + 51*l**2\/7 + 191*l\/7 + 141\/7.\nAnswer: (l + 1)*(l + 3)*(l + 47)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/49)*(m*m*m\/(m*m\/(m\/(m*m**34)))*m)\/m*m**(-5)\/(m*m**44) assuming m is positive.\nAnswer: m**(-4068\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150)*-2 + sqrt(150))\/sqrt(6))\/(3*sqrt(50)\/sqrt(10)))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1\/3 - ((-589008)\/432 + (-2)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -348492012*w - 229686468 with respect to w.\nAnswer: -348492012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54 + (-14801)\/164)*40\/25.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 403*f**2 + 219*f**2 - 5*f + 114*f**2 - 299*f**2 + f + 4415*f**3 wrt f.\nAnswer: 26490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -907 - 377 - 12*p**3 + 1284.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4 - 134*x**3 - 2176*x**2 + 2312*x = 0. What is x?\nAnswer: -34, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-2*2\/(-8))\/((-34)\/(-5236)) and 121?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from ivxitiiii.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 50.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -36*y**2 + y. Give i(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + 0*k + k + (2*k - 2*k + 2*k)*(-5 + 5 + 1) + 0*k - k + 0*k - k + 0 + 0 + 165776 + 52*k - 165776 to the form g*k + u and give g.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -774990906, -774990908, -774990910?\nAnswer: -774990912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 4*w - 6122 = -6146, 2*y - 3*w + 5 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(196)\/sqrt(4) - sqrt(49))\/(sqrt(7) + sqrt(14)\/sqrt(2)*3).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/28*-32*(-6)\/144\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7241 is divided by 260?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-12)\/848*2). Let v = -62 + c. Let a = -40 + v. Solve -4*l + a = d - 3*d, -l + 3*d = 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = h - 7. Suppose 11*q - 60 = -4*q. Suppose -q*c + 8 = -h. Solve -t = -c*t + 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4) + 1*-2. Which is the second biggest value? (a) i (b) 5 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*x + 40*x - 38*x = -267*x + 15228 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75*v + 9*v**4 + 28*v**4 + 116*v wrt v.\nAnswer: 444*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(572\/130))\/3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j - 4. Let b be m(-3). Let u = b - -63. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -2, 2 in descending order.\nAnswer: 2, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5.6 times 2299\nAnswer: -12874.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*y - 110 - 100, -3*w - 205 = -5*y. Let x(j) = 2*j**2 + 3*j - 3. Let v be x(2). Calculate the greatest common divisor of v and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (153 - (3 - 1)). Let g = k - -150. Suppose 0 = -2*y + 4*y - j - 23, 4*y = g*j + 36. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4249761.3 minutes?\nAnswer: 2951.223125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t + 8. Suppose -9*n - 5*c + 40 = -4*n, 3*c - 31 = -4*n. Determine y(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10152 and 10156 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 219826?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28099261.8 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68.9 + -0.1. Let s = l + 69. Which is the closest to s? (a) -4 (b) 0.4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 65639695, 65639694, 65639693, 65639692?\n\"Answer: -p + 65639696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 + -149. Let z be 12\/2 + -3 + 9978\/(-39). Let p = z - -253. Which is the third biggest value? (a) p (b) v (c) 4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1834*a**3 + 101*a**2 + 430*a - 873*a + 442*a wrt a?\nAnswer: -11004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 24*n = -135. Let k(j) be the first derivative of 0*j - 1\/3*j**3 - 8\/5*j**n + 0*j**4 + 6 + 0*j**2. What is the third derivative of k(t) wrt t?\nAnswer: -192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939517?\nAnswer: 31, 30307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 30*o + 8*o - 3024 = 41*o for o.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p\/(p\/(p\/p**16)))\/p*p\/p**(-11\/2))**(-1\/4))**(-8\/5))**(-1\/36) assuming p is positive.\nAnswer: p**(17\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 11*a - 4. Suppose u = 81 + 45. Suppose -u = -16*p - 2*p. Give t(p).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times 0.061?\nAnswer: -1.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98688 and 134668?\nAnswer: 12928128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226 by -9.\nAnswer: 226\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41199 divided by -3.\nAnswer: 13733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 262 and 143314?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 13) to base 2\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.5 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 941059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 1. Let o(s) = 4*s - 2. Let c(x) = -o(x) - 2*w(x). Let g(p) be the second derivative of -p**4\/12 - p. Calculate c(g(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15302 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h**3 - 40*h**3 + 4*h**2 - 16 - 2*h + 20*h**3. Let n be w(3). What is the units digit of 3*n\/15*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248 and 20584?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 + 121*y + 663. Let w be p(-37). Solve w*z + 54 = 302*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 12332*q + 8. Let d(j) = j**3 + 8*j**2 + 6*j - 1. Let v be d(-7). Let s be x(v). Round s to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuu when three letters picked without replacement from {u: 5, j: 1, f: 3, b: 2, c: 3, t: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 317*m**2 - 46*m + 191806 wrt m?\nAnswer: 634*m - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -90727 divided by 7?\nAnswer: -12961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Let x be (-16)\/(-168) + (-2)\/3. Which is smaller: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 71\/246?\nAnswer: 71\/246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-1\/4)\/x*x**(-7))\/((x\/((x**(-2)*x)\/x))\/x**(3\/4)))**(20\/3))**(1\/6) assuming x is positive.\nAnswer: x**(-95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*sqrt(1700)*-1*-3.\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -234 + 395. Suppose -103 = -8*c + a. List the prime factors of c\/4*(-8)\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/26 + 0 - 6795\/195. Let n be 5\/(-1)*(8 - (-282)\/w). Which is the closest to 1? (a) 5 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-20) - (-1)\/(-2))*-5. Solve 5*s + 3*b = 13, f*b = -3*s - b - 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -922656*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 2. Let w = -17 - -18. Let t be i(w). Let m(g) = g**2 + 5*g + 3. Give m(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - -2 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m + 2*b = 10*b - 148, 4*m + 1006*b + 132 = 1010*b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from {a: 1, j: 1, p: 1, w: 2, c: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -141 (c) -4\/7 (d) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, h: 1, c: 1, d: 5, w: 3}. Give prob of picking 1 d, 1 w, and 1 c.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 8 = 3*n - 22, 3*h + 5*n + n = 5*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -191. Suppose -g = -3*t + 136. Suppose t*a = 86*a + 176. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -356 - 5106?\nAnswer: -5465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 1765000*y + 1765005.\nAnswer: -5*(y - 353001)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 5. Let z = 1 + r. Let f = 0 - 1. Is f greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (0\/3)\/(-5*(-14)\/70)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**2 - 62640*z + 9957725 = 0.\nAnswer: -12685, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 2\/11, 4, 0.1, 0.5, -99854?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**3 + m**2 + m - 1. Let l be p(-2). Let a be 1*l - 4\/(-4). What is the greatest common factor of 78 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -163*d - 5655. Calculate g(-35).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*p + 64*p**2 + 58*p**2 - 63*p + 72 - 31*p**3 + 2*p**4 + 3*p**3 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12000020 (base 3) in base 14?\nAnswer: 148b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 11*z**5\/60 + z**3\/2 + 331*z**2 + 2*z - 1. Let q(r) = -2*r - 5. Calculate q(k(v)).\nAnswer: -22*v**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 4*a**2 + 6*a - 7. Let m = -9 + 3. Let t be q(m). What is the highest common factor of t and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12226, 11639, 10652, 9259, 7454, 5231, 2584, -493?\n\"Answer: -u**3 - 194*u**2 + 2*u + 12419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 8*g**2 + 3*g + 6. Let f be p(-8). Let m = f + 22. Solve 2 = -2*y - m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**3 - 50*c**2 + 80*c - 402. Let n be j(-103). Round n to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-21)*105\/(-285).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**24*s**(2\/3)*(s*((s\/s**15*s*s*s*s)\/s)\/s*s*s)**38 assuming s is positive.\nAnswer: s**(-952\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42744 and 4.\nAnswer: 42744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1548\/(-8256))\/((-2)\/96)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1474*j**2 + 0*j + 1310*j**2 - 1877*j**2 + 2*j.\nAnswer: -2041*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -138 - 7*f**2 + 138 + 3*f**2. Let i(z) = -3*z**2. Give p(i(w)).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54.1 + -54. Which is the second smallest value? (a) 3 (b) -6 (c) n (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzizizz. Give prob of sequence ziiz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 164 + -98. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2339956, -9359859, -21059696, -37439467, -58499172, -84238811, -114658384?\nAnswer: -149757891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 1 + -3 + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/(-8) - 6\/(-8). Let d = 0.33 - 9.33. Let n = 7 + d. Sort n, y, 5 in increasing order.\nAnswer: n, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((0\/3)\/2)\/(-1). Let f = 4 - o. Sort f, 3, 0 in increasing order.\nAnswer: 0, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2595 by -10.\nAnswer: 519\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 173*c**4 + 38 + 102*c**4 - 100*c**4 + 74 wrt c?\nAnswer: 700*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*r - 3*h, -2*r - 5*h = -7 + 38 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30399, -60705, -90999, -121275, -151527, -181749, -211935, -242079?\n\"Answer: t**3 - 30313*t - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26704103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 2:55 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -92 in -0.5, -2\/487, 2\/9, -30, 2?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3477 - -3494. Let x = -0.006 - 2.994. Which is the nearest to -1\/2? (a) x (b) 1 (c) p (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 363.3 + 192.2. Let s = 555 - x. Let b = -0.02 + 0.09. Sort b, s, -2\/7.\nAnswer: s, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - 2 + 2)*(2*c + c + 2*c).\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from wwtwttwwtwwwww.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 11000?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114020241 (base 5) to base 12.\nAnswer: 21824b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -3*b, -4*b + 32 = 52 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -76 - (-48 + (-29 - -60) + 15)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2047957*b**2*v - 2*b**2 - 35021127*b*v wrt b?\nAnswer: -4095914*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186)\/124*(-16)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (387\/(-645))\/((-6)\/110).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f = 2. Let p = -0.1 - -1.1. Let s = p - 1.5. Put f, 2\/7, s in descending order.\nAnswer: f, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -50.1 and 2.358.\nAnswer: -47.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1610*w + 1582*w - 244086 = 722*w + 77*w for w.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-770)\/(-3220)*(-16)\/(-88) - 1833\/(-161).\nAnswer: 80\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, b: 1, t: 9, j: 1}. Give prob of picking 2 t and 1 p.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*-4*55\/(-40). Let f(x) = 2*x - 21. Let b be f(j). Sort b, -1, 6 in descending order.\nAnswer: 6, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 148 + 42 + (-2 - 1 + 1)*(3 + 0 - 5) - 4 - 1 + 3)*(-3*p + 0*p + 2*p + (-p + p + p)*(-2 + 4 + 0) - 2*p - p + 5*p - 2*p + 0*p + p + 3*p - 6*p - 3*p).\nAnswer: 500*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 22 = 4. Let a(q) = q - 3. Suppose -3*c + 30 = -4*m, 0 = -2*m - 6 - 0. Let g be a(c). What is the greatest common factor of g and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/16, -3, -1\/5, 3.4, -11 in descending order.\nAnswer: 3.4, -1\/16, -1\/5, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 + 218*p**2 + 290320*p\/7 - 291848\/7.\nAnswer: 2*(p - 1)*(p + 382)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, c: 3, n: 3, z: 1, t: 2}. Give prob of picking 1 d, 1 n, and 1 c.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2285373 + 4953*i**3 - 2285373)*(-3*i + 0*i + 2*i + 4*i).\nAnswer: 14859*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b = -4*w + 29*b, b = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 73 and 0.2.\nAnswer: 14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7555794 hours to minutes.\nAnswer: 45.334764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 12*y. Suppose 5*p - 25 = -y. Solve p*x + 3*b - 26 = 4*b, 11 = 3*x + 4*b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*w**3*x**2 + 18*w**3 + 36*w**2*x**3 - 5*w*x**3 + 2*x**3 + 4 wrt w?\nAnswer: -48*w*x**2 + 108*w + 72*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lthhlt. What is prob of sequence lhlt?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16191896 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 4527504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -8*q. Let i be (25 - q)\/(-1 - -2). Calculate the greatest common factor of 10 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 4*g + 1873 - 1857 = 0, 5*h = -2*g - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.46? (a) -1289 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -1*(-2)\/(-1). Let k(u) = -u**2 - u - 1. Give k(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -2) + -2 - -20. Suppose 2*x = -k + 9 - 4, -x + 4 = 0. Let r be 704\/6*k\/(-2). Calculate the highest common divisor of n and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 6. Let s(d) = d**3 - 23*d**2 - 48*d - 47. Let h be s(25). What is the second smallest value in -1\/3, n, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40412.\nAnswer: 2, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -14 - 1\/((-3)\/(-9)) - 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/5 (b) -6051 (c) 91 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15536 (base 9) to base 11\nAnswer: -7aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rerr when four letters picked without replacement from rffrrfrrfrfrfrrrerfr?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**4\/72 + 11*i**3\/36 - 17*i - 4. What is z in t(z) = 0?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-9)\/(54\/(-12)))\/(8\/12) and 426?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2\/3*i + 61\/3*i**2 - 7\/3*i**5 - 8\/3 - 91\/3*i**3 + 47\/3*i**4 = 0.\nAnswer: -2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**(2\/19)\/i*i)*i*i**(-1\/3)*i\/(i*i\/(i\/(i\/((i\/i**3)\/i))*i))*i*i*i**3 assuming i is positive.\nAnswer: i**(146\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 4*s - s)*(-14*s**2 + 10 - 10)*((0 - 1 + 0)*(-2 + 2 - 2*s) - 19*s + 0*s + 4*s).\nAnswer: -182*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 13. Let p be x(-10). Let l = 5 + p. Solve l = -5*u + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2244\/6415 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -7\/2, 0.2, -2, 4, -68281.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 1 + 1)\/2. Suppose -2*t + 26 = 4*p - 5*p, -a*t + 3*p = -26. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 4*i - 14, 2*i - 4 = -3*f + 1. What is the tens digit of ((-247)\/3 + f)*(-36)\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 2*p - 2*f = -10, -11*p + 5*f - 22 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 88398.\nAnswer: 4950288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 28. Calculate the greatest common divisor of 15 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 11 + (14 - 5) + -3 + -8 + 78?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 w, and 1 k when three letters picked without replacement from {f: 3, m: 2, o: 4, s: 1, k: 3, w: 4}?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 7 = 2*l, l = 4*l - 4*c + 2. Suppose 3*b = 4*b - l. Suppose 2*q - 5 = -4*n + 19, -n = -4*q + 21. What is the highest common factor of q and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 16 = 4*k, -k + 4*b + 4 = -0*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - -1*2 - -4. Suppose -l = i*l. Find the second derivative of -a**4 - a + a**5 + l*a**4 + a**4 wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620265\/4 greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2624 = 3*h - 3*a - 6874, -4*h + 12657 = 3*a. Suppose -3*g = 2*g - h. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -47358221012?\nAnswer: -47358221013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, n: 7}. Give prob of sequence nttn.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 - -65. Let u = t - -2. Let s be 50\/(u - 12798\/3200). What is s rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**23*n*n*n\/((n\/(n\/((n*(n*n*n\/(n*n*n**(-12)))\/n)\/n*n*n)))\/n) assuming n is positive.\nAnswer: n**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7612.\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 7*m**2 + m - 6. Let y be (14\/(-6) + 2)*-15. Suppose 69 = y*x + 4. Calculate the remainder when u(-6) is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5492403 (base 11) to base 6.\nAnswer: 542315223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, -2\/3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, y: 3, r: 2, t: 7}. Give prob of picking 2 t and 2 r.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49664068*x**2 + 24832140*x**2 + 24832103*x**2.\nAnswer: 175*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -20*h - 14. Let r be k(5). Let n = r - -118. Solve x + 24 = -3*m + 4*x, n*m - 3*x = -29 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 + 84 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27652180 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1205 is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 12*y**2 + 14*y + 27. Determine z(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*x + 2, 2*x - 2 = -5*o - 16. Let q be 22\/x - (-4)\/6. Suppose -s = -3*a + 9, q*a - 4*a = -s + 19. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47672, 47672, 47676, 47690, 47720, 47772?\nAnswer: 47852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9842900 is divided by 44538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*s**4 + 62244015*s**3 - 31122005*s**2 = 0. Calculate s.\nAnswer: 0, 1\/2, 6224401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -130*t**6\/9 - 73*t**5\/3 + 20*t**4\/3 + 215*t**3\/9 + 5*t**2 - 240. Solve c(j) = 0 for j.\nAnswer: -1, -2\/13, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 471533, -1, -3, -4 in ascending order.\nAnswer: -4, -3, -1, 1, 471533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 2441.\nAnswer: 3\/2441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -416672 (b) 21 (c) -1 (d) 1\/4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -6*f - 4. Let y be u(-6). Let h = y + -37. Let t = -57 - -55. Which is the closest to 1\/3? (a) h (b) -3\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6*g = 10*g + 11, 5*g = -3*v - 4. Let n = -7 - -6. Let l(i) = i**2 + 5*i - 7. Let t be l(-5). Sort n, v, t.\nAnswer: t, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b + 2 - 3*b**2 + 3*b + 4*b**2 - 6. Let t be u(3). What is the third derivative of -p**t + 0*p**2 + 0*p**3 - 2*p**3 wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzv when three letters picked without replacement from ivizzvzv?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 14 = -19*o, 990*i + 13 = 8*o + 989*i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**2 + 7*m**5 + 0*m**2 + 9*m**5 + 5*m**2 wrt m.\nAnswer: 960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4, -2*s + 5769 = -j + 1202. Let c be (-2)\/(-18) + 0 - (-1222)\/423. Is (c\/(-2))\/((-6)\/s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 86, 209, 442, 839, 1454?\n\"Answer: 9*o**3 + o**2 + 57*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5908584054 to the nearest integer?\nAnswer: 1808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 118*d. Let o(k) = k - 24. Let y(h) = 24. Let x(m) = 2*o(m) + 2*y(m). Calculate v(x(j)).\nAnswer: -4*j**2 - 236*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**4*h**(2\/31) assuming h is positive.\nAnswer: h**(126\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735797589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 89276?\nAnswer: 178552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2\/9 - 994*n - 35752\/9 = 0?\nAnswer: -4469, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((5 - 3) + (-1 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/2 - (-2)\/(-8)*-6. Solve -w*a + 21 = -5*l, 0 = 2*a + 3*a - l - 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)*r)\/r)\/r*r**(1\/4)*r**(1\/18)\/((r*r**(-19))\/r*r) assuming r is positive.\nAnswer: r**(551\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from eppppepepe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g + 0*g)*(g**2 + g**4 - g**2) + g**4 - g**4 + 2*g**5 - 3*g**5 - 3*g**5 + 4*g**5 + 15*g**3 - 15*g**3 + 38*g**5 + 627*g**5.\nAnswer: 667*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 149446 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -95, -170, -245?\n\"Answer: -75*t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298140, 298135, 298130, 298125, 298120?\nAnswer: 298115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -3 + -3 + -15. Let i be 1*b*(-3)\/(-3). Let a = 51 + i. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 + -0.36. Let y be 1 + 2\/2 + 1. Suppose -4*x + 8 = -4*v, -3*v - x - 21 + y = 0. Which is the closest to -1? (a) -2 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000104070267 to seven dps.\nAnswer: -0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/9 - 1520*o**2\/9 - 24704*o\/9 - 99328\/9 = 0. Calculate o.\nAnswer: -8, 776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**4)\/k)\/(k\/k**(-5)))**(-23)\/(((k**(-4)*k)\/k)\/k**(-6\/5))**(-40) assuming k is positive.\nAnswer: k**118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-5)*(-93225)\/(-12) + 3\/6 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**3 + 7*g**2 - 30*g + 24. Let d be i(1). Let y(h) = -h**2 - 4*h - 5. Calculate y(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4848 - -4860. Solve -x - 42*n + 43*n = 0, -d = 4*x + 2*n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4285.9888 and 0.2.\nAnswer: 4286.1888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67744618*u**2 + 230444900 wrt u?\nAnswer: 135489236*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 b when three letters picked without replacement from eeeeeebeebe?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s + 6. Let m be i(-4). Let p be (-4)\/m + 102\/27. Suppose -48 = -4*g + 2*w, g - 3*w = -p*g + 61. Solve -5*v = -v - 3*x - g, -2*x = 5*v - 31 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1132 - 1132 + 42*h)*((0*h + 2*h + 0*h)*(-4 - 1 + 6) + 3*h - h + 0*h).\nAnswer: 168*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28560869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -44*s - 31. Suppose 24 = -16*c + 14*c. Is i(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -60?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 238400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/21 and (-3)\/(-2) + 11\/42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 13385, 5, -2, 4, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 17*k + 5*k)*(-1 - 5 + 4)*(-6 + 2 + 2 + (1 + 1 - 3)*(-2 + 2 - 2) + 0 - 1 - 1).\nAnswer: -60*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1 (c) 0.08 (d) -4624\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1025.96 - -6186.34. What is t rounded to the nearest 100?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*s - 0*s. Let v be (0 - -4) + s + -4. Let q = 93 - v. List the prime factors of q.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1274714, -2549444, -3824174, -5098904?\nAnswer: -6373634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57802?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 0 + 0 - j**2 - 3*j. Suppose -4*k + 28 = -5*u, -81*u = -78*u + 5*k + 2. Calculate r(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 16*b**3 - 5*b**2 + 6*b + 1. Is y(3) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, -12, -63, -166, -339?\n\"Answer: -3*f**3 + f**2 + f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100667683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -90 in 3, -5, 2\/17, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1889 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 422?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517068?\nAnswer: 2, 3, 53, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000323690681 to five dps.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 7.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1915 + 1915 - 16*w + 16*w**2 - 4*w**3.\nAnswer: -4*w*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 296.3, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2 + 14 = 0. Let y(p) = p**2 - 7*p + 6. Let b be y(7). Let v(l) = -6 - l**2 + 6 + b*l. Determine v(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/349 + 1390\/1047. Suppose -2*f + 1 + 5 = 0. What is the closest to 37 in p, f, 2\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 times 0.2?\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*c + 17. Suppose -8*v + 3 = -c*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 583*n**6\/6 - n**4\/12 + 2501*n**2\/2 - 17*n - 46. Differentiate o(y) with respect to y.\nAnswer: 11660*y**3 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5698 divided by 407?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3129066 and 46?\nAnswer: 71968518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3394957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/9)*t**0)\/(t**(1\/9)*t**(3\/5)) assuming t is positive.\nAnswer: t**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.786 (b) -2 (c) 4 (d) -2\/11 (e) -222 (f) -4\/7 (g) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 1)*((-14)\/2 + 6). Suppose 0*k + 2*k - 60 = 4*q, t = -4*k + 2*q + 126. Solve 34*d + 8 = k*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2176492026.\nAnswer: 2, 3, 101, 3591571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3290*c - 6503*c + 3234*c.\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 49*i**5\/60 + i**2. Let z(k) = -5*k**2 - 1452*k. Let m(g) = -4*g**2 - 1089*g. Let a(x) = 4*m(x) - 3*z(x). Determine a(y(t)).\nAnswer: -2401*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -667*u + 4000. Let l be k(6). Let d = 0.04 - -0.16. Let g = -3.2 + d. Which is the third smallest value? (a) l (b) g (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 8c03402?\nAnswer: 8c033fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45227778 to the nearest integer?\nAnswer: 6725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4924, 5276, 5594, 5866, 6080, 6224?\nAnswer: 6286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-15) - (-26)\/24. Determine l so that -1\/4*l**5 - 3\/4*l**2 + 0 - 1\/4*l**3 + 1\/2*l + x*l**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*d - 58*d = -3*f - 15, -11 = -5*d - f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7381001 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*i + 9, -5 = -3*i - 0*j + j. Factor 2*y**i + 38*y - 6*y**2 - 24*y - 22*y.\nAnswer: -4*y*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 - 17*d - 71. What are the prime factors of t(18)?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u + 55357 = 5*t + 16*u, -5*t + 55345 = 5*u. Suppose 3*j + 4*f = 36661, f + 1159 = j - t. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/938560 and 89\/22.\nAnswer: 10324160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 70*l**2 - 19*l + 159. Does 19 divide c(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20238.81 + 434.\nAnswer: 20672.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyvh when four letters picked without replacement from {h: 5, y: 5, n: 3, v: 2}?\nAnswer: 5\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -9 - 0. Let b(z) = z - 4. Let q be b(i). Let w = 3 - q. Solve -2*d - w = -5*l, 8 = 4*l + d - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 3. Let a be (-7)\/(-4) - 1\/s. Suppose 0 = -a*u + 2*d + 118, 4*u - 4*d - 216 = -5*d. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 169 + 168 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*j - 1. Which is smaller: 7\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14007517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66285, -132666, -199141, -265704, -332349, -399070, -465861?\nAnswer: -532716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3448033 is divided by 689601?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117 + 119. Solve 4*i + h = 6*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69947.\nAnswer: 113, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/5 - 67408*v**3 - 674086*v**2\/5 - 337044*v\/5.\nAnswer: 2*v*(v - 168522)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -127 + -1050b?\nAnswer: -10636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 7 = -17. What is the second smallest value in -5, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2 + 7. Suppose 0 = d*x - 2*x + 12. Let j = -0.2 + 0.3. Which is the closest to j? (a) -2\/9 (b) x (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.07458?\nAnswer: 0.3729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -3\/31 (c) 5 (d) 436 (e) -3\/5 (f) -1\/3 (g) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.27705 less than -0.03?\nAnswer: -1.30705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five eighths of a centimeter?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 + (-17 - (-24 - -13)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 336365976 a multiple of 692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89335519 to the nearest integer?\nAnswer: 9452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.22 - 0.308. Let v = -32.0942 - u. Let m = v + 32. What is m rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o + 54 = -9*o. What is the lowest common multiple of (o\/(-2))\/((-44)\/(-132)) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3363*g - 8 = 3359*g. Solve -4*r + 8 = -g*n, -3*r + 11 = -12*n + 8*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115379343 a multiple of 9163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8615 + 1003 = -313*h - 59*h - 1542 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58681880*b**3 + 106*b**2 + 629106?\nAnswer: 352091280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7581*182.\nAnswer: 1379742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (0 - -1) + 1 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3*4\/(-2184))*1\/((-110)\/(-55)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.53 - 0.13. Let q = 0.46 - -0.64. Let l = q - p. Put 0.2, -4, l in descending order.\nAnswer: 0.2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 3*x - 3*x)*(-1 + 3 + 2)*(3 + x**2 - 3)*(0*x - 2*x + x).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(275\/(-815)) + 2\/11. Suppose -t*u = -8*u - 672. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4 = x. Let b be (x\/(-1926))\/(1\/(-52)). Let y = b - -101687\/21186. Calculate the common denominator of -75\/8 and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 109*s**2 + 112*s**2 - 168*s**2 - 4*s.\nAnswer: 53*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/6*(2 - 6). Suppose o*r + 52 - 16 = 0. Let z(y) = 4828*y - 32. Let b be z(r). Round b to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -117*x - 2 - x**4 + 9*x**3 + 345*x - 112*x - 119*x in the form w*x**4 + y*x**3 + t*x**2 + h*x + l and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = 26. Let m(q) = -119*q + 13928. Let t be m(117). Sort -2, b, t in decreasing order.\nAnswer: t, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**5\/30 - v**4\/6 - 2*v**3\/3 + v**2. Let r = 12 - 23. Let y = r + 6. Let z(d) = -2*d**2 + 5*d + 5. What is y*o(j) - 4*z(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 5\/998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 8*h + 19. Let t be n(-10). Which is smaller: t or 2\/179?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 5:06 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11466640.8ms?\nAnswer: 0.13271575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrrnrrnbnnprrbrrprn. What is prob of picking 1 p and 1 r?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/10*3\/((-27)\/1200). Let n = 452 - d. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 152?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 9. Let j(g) be the third derivative of g**6\/120 + g**5\/12 - g**4\/24 - 2*g**3\/3 - 15*g**2. Give j(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-12))\/(152\/(-12))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k - 20. Give j(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 28 - 47 + 11*t.\nAnswer: 14*t - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.066 * -7\nAnswer: -0.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -20*r + 58. Let o(v) be the second derivative of -7*v**3\/6 + 19*v**2\/2 + 13*v. Let p(h) = 10*o(h) - 3*u(h). What is the units digit of p(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254663.5ml in litres?\nAnswer: 254.6635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 674 - 2*v - 2274 - 1037 + v to the form g*v + p and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 7:49 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48519899 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-11 - -27)\/(22\/7) and 52\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342399 is divided by 1732.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000991 is divided by 3188?\nAnswer: 3147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sksbbbbbs. Give prob of picking 1 b and 1 s.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 19*n**2 + 18*n - 4. Suppose 0*c = -6*c + 3*c + 54. Determine a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.002, 9, -3, -0.4, 3\/52, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -64. Sort -5\/3, -2, m, 0.4 in decreasing order.\nAnswer: 0.4, -5\/3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-36))\/(8\/72)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 8:57 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 353 + 926. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, -1, 5, -4, -139 in decreasing order.\nAnswer: 144, 5, -1, -4, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17238 is divided by 8478?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 843 divided by 281?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/10 and -77\/44162?\nAnswer: 220810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t = 893 - 443 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39*(-6)\/(-3)*(-14)\/42.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 946224 and 473112.\nAnswer: 946224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/31 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/10630 and -49\/8.\nAnswer: 42520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 18*f = -u - 546, 0 = 2*u + 3*f + 1092. Is ((3\/9)\/(-1))\/(14\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/2665 and 131\/130.\nAnswer: 5330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**3 - 5*q**2 + 15*q - 21. Let y be a(4). Suppose 145 = -30*i - y. Let u(z) = -z**3 - 12*z**2 + z + 10. Calculate u(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6290 = 2969*c - 3598*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1440 = 2*u + 8*p, 4 = -p. What are the prime factors of 189\/6*u\/42?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14862 divided by 2477?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/6)\/(21*(-6)\/140*975\/(-195)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2794201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 319727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnhf. Give prob of sequence hff.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j + 2*j - 83*j**2 + 42*j**2 + 43*j**2 - 106*j**3 to w + n*j**2 + x*j**3 + d*j and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/214 - 2019940\/32159920?\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91324.5543us to weeks.\nAnswer: 0.00000015099959375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -106*z**4 + 6*z**3 - 21*z**2 + 10*z.\nAnswer: -2544*z + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.2, 0, 14 in descending order.\nAnswer: 14, 5, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1323*i + 2601 = -51642 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-16)\/(-16)*0*1\/(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d. Let h = -5 + 7. Let t(a) = -2 + 6*a**h + 2 - a**2. Determine q(t(r)).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941128363.\nAnswer: 7, 134446909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 6*p - 120 = -5*n, -5*n + 24 = p. Let u = p - 2. Let j = -15 + u. Solve -3*c - x = j, -5*x - 5 = -3*c + 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 715 and 483535?\nAnswer: 5318885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/6 - 2272430*g**2\/3 + 9089717*g\/6 - 2272429\/3.\nAnswer: (g - 4544858)*(g - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1106\/280 + 1 + (-21)\/12. Let q = l - -13\/10. Let -1\/2*t**2 - q + 3*t = 0. What is t?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 116562482?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -3. Suppose 1095*y - 972*y = 1968. Solve 4*h + y = 0, 5*a - l*h - 16 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3224 - -3224. Solve d = 30*l - 2*l - 168 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a478 + 1c8?\nAnswer: 2a662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 11*a - 6*a = 45, u - 3*a = 21. Solve 0 = -3*w + u, -3*h = h + w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*s - 25 = 0, 4*w + s - 6 = 35. Suppose 4*c - 4 = 8. Suppose -6 + c = -m. Solve 0 = -m*f + 5*f - w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -762, -652, -452, -162, 218?\n\"Answer: 45*i**2 - 25*i - 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -74, -110, -148, -188, -230?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - -8) + 1*8 + -1. Suppose -b = -2*t + 2, -w*t = -9*t - 4. Solve -b*s + 8 = -6*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5416 - 32581\/6. Find the common denominator of m and 119\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 3*x**2 - 2*x - 2. Let p be g(-5). Let u be ((-3)\/p)\/((-1)\/8). What is the second smallest value in -1\/7, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 568 divide 812445616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.3 - 9.1. Let j = -0.2 - 0. Which is the nearest to n? (a) 4\/9 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w*w**(-1\/2)\/w))**(-13))**(-17) assuming w is positive.\nAnswer: w**(663\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*c**2*n**3 - 288721*c**2 + c*n**3 - 2*c - 73806*n**3 + n**2 wrt c.\nAnswer: -26*n**3 - 577442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -29, -100 in decreasing order.\nAnswer: 5, -29, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/3, 0.2, -2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - 4*m - 2*m**4 + (-2*m**3 + 0 + 0)*(-1 - m + 1) + 0*m**4 + 3*m**4 + 6*m**4.\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 11:52 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.18 + 0.126. Let i = -2.054 - w. Let b = 2.1 - 1.7. What is the fourth biggest value in i, -4, 2\/9, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 5:23 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*k - 975*k - 183*k - 548*k + 2*k**2 + 0*k**2.\nAnswer: 2*k**2 - 1509*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19005614?\nAnswer: 2, 29, 211, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k + 17. Let n(g) = -g. Give 2*n(w) + o(w).\nAnswer: 2*w + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -34. Suppose -1 = -3*s + 5*u + 11, -3*u = 9. What is the smallest common multiple of x and -1*1 - (s - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -7*o - 78. Let n = o - -48. What is the highest common divisor of 153 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/21 + -31\/231. Let w be -8 + 1*(-8 + -1) + 16. What is the nearest to n in w, -5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2. Let d(z) = -5*z**2. Let c(l) = d(l) - 6*j(l). Let s be (-12)\/(-9) - (-2)\/3. Let y(m) = m - m - s*m. What is c(y(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/2*(3 + (-3 - -1)). Sort -5, -2, n, 3 in decreasing order.\nAnswer: 3, n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiuulsuxxlssllxxqxsl. Give prob of picking 2 l.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - 54) + 1 + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/320045 and 99\/80.\nAnswer: 5120720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**4 + 21079 - 112*o - 34*o - 17377 - o**4 wrt o.\nAnswer: 4*o**3 - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbfsq. Give prob of sequence ffb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40608\/10 + 32\/160. Let b = 9510 - z. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-9))\/(3\/(-36)). Let u(v) = -v**2 + 17*v - 8. Let w be u(g). Suppose -14 = -w*x + 18. Solve -2*o = -2*z, -x*o = -z + 21 - 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166993 is divided by 407?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -17*a**4\/12 + a**3\/6 - a**2\/2 + 35*a. What is i(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*y**2 - 19*y**2 + 2*y - y = 0. What is y?\nAnswer: -1\/16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**18\/((v\/v**(-5\/14))\/v))\/(v**39\/(v**(2\/111)\/v)))**(-26) assuming v is positive.\nAnswer: v**(451295\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5864.74 hours?\nAnswer: 21113064000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 7*v - 2*v. Is 6 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -34 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3082377219?\nAnswer: 3, 17, 60438769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-10)\/z**(8\/7)*(z**(-1)*z)**(3\/2) assuming z is positive.\nAnswer: z**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxb when three letters picked without replacement from {x: 3, h: 3, k: 2, b: 3, p: 2}?\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 104256415?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51361 + 76889. Suppose 38*f = a + 28546. Is f a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*12\/40*4. Suppose 5*x = 0, 4*f - u = -4*x + 2. Suppose -k + 5*p - 4 = -f*k, -4 = -4*p. Which is the nearest to k? (a) 2\/9 (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 273707.\nAnswer: 2\/273707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201272 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/6)\/((-2)\/18*-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*m + 208 = 177*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -281806054 divided by -57406?\nAnswer: 4909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.15 - -0.15. Let h = -222.6 + 454. Let y = 231 - h. What is the third smallest value in b, -0.1, 3, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j*j\/(((j\/(j\/(j*j*j**5*j)))\/j)\/j))))\/j*j**(1\/4))**(-6\/7) assuming j is positive.\nAnswer: j**(45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 372 + -361. Let r be 4\/(17 - f - 1605002\/267500). What is r rounded to the nearest ten thousand?\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8126, 16253, 24380, 32507, 40634, 48761?\nAnswer: 56888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 - -95. Which is the nearest to -8? (a) 1\/8 (b) p (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 - 2*y + 0*y**2 + 3*y + (0*y + 4*y - 2*y)*(-y - 2 + 2) in the form j*y**2 + v + z*y and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1125\/210)\/15*132\/15)\/(6\/6)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(47\/4)\/(l\/(l*l\/(l*l*l\/((l*l**(-4))\/l)*l))*l*l**(-1\/2)) assuming l is positive.\nAnswer: l**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2990 = -b + 690. Let u = 80985\/22 - b. Let m = 2283787\/323694 + 3\/17983. What is the common denominator of u and m?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*76091\nAnswer: -22827.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 922794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5672196 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -114*o - 42*o + 4649268. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31351072 is divided by 2249?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 - 65*s**2 + 11*s**2 + 18*s**2 + 11*s**2.\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264824922 is divided by 144.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 - -149. Suppose 5*d + 0*y = -3*y + 3, -3*d + 5 = 5*y. Suppose 3*l - 4*q = u + 26, d = -4*l + q + 131. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 26784*t - 11865852.\nAnswer: -4*(t - 6219)*(t - 477)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 733*a - 2796 = 730*a, 3*y - 4*a = -2097. Is y greater than -694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(-6*sqrt(102)*-2 + sqrt(102) - sqrt(102)))\/(6*(sqrt(294) + (sqrt(294)*1 - sqrt(294)))*4).\nAnswer: -9*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46645438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6557 + -21390165788.\nAnswer: -21390159231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(500) + (sqrt(50)*1 - sqrt(50))\/sqrt(10) + 3 - (sqrt(405)*1*-2 - 5*(sqrt(405) - -1*sqrt(405) - sqrt(405)))**2.\nAnswer: -19841 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(-3 + sqrt(2299) + -5)*-1*2)**2.\nAnswer: -11264*sqrt(19) + 151232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/9 and 59\/6168.\nAnswer: 18504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + (33 - (-9 + 13)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 404 - 415 - ((-6 - -4) + 23)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21110 + 14?\nAnswer: 21124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -244 - -238. Let k(x) = -73*x - 348. Let p be k(t). Which is smaller: p or 91?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185334 and 13358584.\nAnswer: 3634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + o**2 - 3*o**2)*(-22*o + 9*o + 12*o) + 2*o**3 - 4*o**3 + 3*o**3 + (-o + o**2 + o)*(-2 + 2 + o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1149 and 17?\nAnswer: 19533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.7 + 3.1. Let m = 0.4 - w. Let n = 2 - m. What is the second smallest value in 4\/7, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 52623 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 2:34 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -743*l + 108*l**3 + 1490*l - 747*l.\nAnswer: 108*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -2 (c) 0.1 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 131.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5755)\/(-2302)*134\/10)\/(2\/8).\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/3)\/w*w**(-3)\/w)**(2\/51)*(w**(2\/7))**(4\/19)\/((w\/((w*w**(-1))\/w))\/w)**32 assuming w is positive.\nAnswer: w**(-654200\/20349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551674 is divided by 426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37505 + 39173. What is the lowest common multiple of f and 1112?\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h*w**3 - h - 3814*w**3 + 12651*w wrt w?\nAnswer: -36*h*w - 22884*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 + 86. What is the nearest to -1 in 25, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -32763*j + 32766*j, 4*t + 48 = 4*j for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 12 = 0, 0*s + 1493 = 5*s + j. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**3 + 273*p**2 - 5*p + 21. Let a(n) = -3*n**3 - 136*n**2 + 3*n - 12. What is -7*a(k) - 4*x(k)?\nAnswer: k**3 - 140*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 11809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-20)\/(-30))\/((-4)\/(-402)) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423020 divided by 26.\nAnswer: -16270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-36) + (-15)\/(-4). Suppose -c - 7 = b - n*c, b = -2*c + 13. Suppose -3*w + b*w = 34. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -24. Let f be 24\/20 + 1\/(-5). Sort 2, f, l, -4 in decreasing order.\nAnswer: 2, f, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z = -31*z - 4*y - 709, -673 = -z - 5*y. Calculate the greatest common factor of 252 and z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -19. Suppose -l = -o*l - 15. Put 1, 4, l in decreasing order.\nAnswer: 4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 - 15*y**2 + 7*y - 17. Let t(r) = r + 11. Let x be t(-8). Let o(i) = i**3 - 8*i**2 + 4*i - 9. Let g(q) = x*p(q) - 5*o(q). What is g(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from ssuqwpsuup?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 6*s + 1. Calculate the least common multiple of 4 + (-5 - -4)*1 and q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(216) - -4*(sqrt(216) - sqrt(216)*-3)) + sqrt(216))\/sqrt(12))\/(sqrt(18)\/(sqrt(18)\/(sqrt(36)\/sqrt(6))))*-1)**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 5562*o**2 + 5155974*o - 1593195966.\nAnswer: 2*(o - 927)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135 - -123) + 14 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, 3, -727, 1, -4.\nAnswer: -727, -68, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 21 - 2 = -3*b, 0 = 11*b + n + 3 + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f + 1. Let t be q(-1). Let i = t - 20. Let s = i - -47. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -36*w**3 + 43*w**2 - 3. Let f(j) = 12*j**3 - 50*j**2 + 93*j**2 - 48*j**3 - 4. Let k(o) = 3*f(o) - 4*g(o). Find the third derivative of k(v) wrt v.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*o - 7015 = -1672 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/4)\/(26\/((-520)\/10)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 147200 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 12, a: 1, b: 2, o: 2, g: 2}. Give prob of sequence cbcc.\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/9 + (2\/(-3))\/2. Suppose l*r = r - 9. Suppose -3 = -2*n + 1. Put r, 1, n in increasing order.\nAnswer: 1, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {i: 1, m: 1, r: 1, h: 1, a: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + y**2 + y. Suppose -3*l = -8*l + o - 17, 2*l + 5*o - 4 = 0. Let i(q) = 4*q**3 + 3*q**2 + 4*q. Determine l*m(u) + i(u).\nAnswer: u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a factor of 1628866263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 8) + (5 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 956 + 2607 = 7*l. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, 159, 543, 1271, 2451?\n\"Answer: 18*p**3 + 10*p**2 - 8*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + i + 29*i**2 - 49*i**2 + 27*i**2)*(-1 + 3 - 3).\nAnswer: -7*i**2 - i + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r. Suppose -186*i = -185*i + 3*u - 9, -18 = -4*i - 3*u. Solve i*h - 5*h - 10 = r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131853 is divided by 656?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**3\/4 - 73*o**2\/4 - 809*o\/4 - 1743\/4 = 0.\nAnswer: -7, -3, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(-6))\/((-1)\/(-6)). Suppose 8*c - 9*c = -k. Solve 0 = -2*a + 3 - c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 4:17 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 - 3*x**3 - 2*x + x**2 - 10*x**2 + 0*x - 10. Let r be m(-9). Let p = r + -4. Calculate the greatest common divisor of p and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r = -8*r - 168. Let m be (-2)\/4 + (-18)\/(-12). Let h be -2*m*38\/(-4). Which is the smallest value? (a) 2 (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**2 + 184*y = 0.\nAnswer: 0, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 10*k. Let n be g(5). Solve n*b = -b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*v + 2 - 182*v - 273*v - 198*v.\nAnswer: -756*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 1 (c) -1 (d) -30\/43 (e) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 43?\nAnswer: -8\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.7 (b) 6 (c) 0 (d) -4 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*97.3\nAnswer: -19.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -0.2, 0.2, -1.4, 1, -1\/3 in decreasing order.\nAnswer: 19, 1, 0.2, -0.2, -1\/3, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.017, -5, 0.5, 211844 in decreasing order.\nAnswer: 211844, 0.5, -0.017, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) 0.8 (c) -2\/5 (d) -45.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((4\/(-3))\/((-22)\/(-33))). Factor -8\/9 + 2\/9*t**2 + a*t.\nAnswer: 2*(t - 2)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3445164 divided by 3?\nAnswer: 1148388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -28*c - 102 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.46 (b) 0.2 (c) 5 (d) 14\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -d + 17, -56 = -2*y - 3*d - 35. Sort -2, y, -36.\nAnswer: -36, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12 - -6)\/(20\/(-4) + 6). Suppose 3*c + 1 = r, f*c = 13*c + r + 1. Let j = 0 + 5. Solve 2*k + c - j = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.3 and -0.039.\nAnswer: 2.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + sqrt(637)*1))**2.\nAnswer: -252*sqrt(13) + 5769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -51, -2.1 in decreasing order.\nAnswer: -2, -2.1, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*m**3*p - 4*a**3*m**3 - 41*a**3*z - 2*a**2*m**2*p*z - 3*a**2*m*p*z - 31*a*m**3*z wrt a.\nAnswer: 6*m**3*p - 24*m**3 - 246*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/826 and 16\/(-12) + 13100\/1680 - 5?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -14*a**2 + 3055*a + 18813. What is u(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Suppose k = 2*l + 3*w - w - 2, w = -1. Suppose 40*q = -78*q + 202 + 34. What is the remainder when l is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8079901 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**3 + 11*z**2 - 11*z. Let t(o) = -2*o**3 + 6*o**2 - 6*o. Let u(r) = -7*r**3 + 2*r**2 - r. Let y be u(1). What is y*d(b) + 11*t(b)?\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 80\/25 + (-1)\/5 + 0. Solve m = -3*q + 4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 829 - 61*c - 1660 + 831.\nAnswer: -61*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -4*w - 120, -1292*x + 2*w = -1294*x + 66 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.302647 millimeters?\nAnswer: 302.647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n**3 + 3*n**2 - 7*n + 1. What is y(3)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 3*o - 20. Let i be a(0). Let d = i + 22. Solve 2*f = -12 + d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2378, 18993, 64172, 152249, 297558, 514433, 817208, 1220217?\n\"Answer: 2389*z**3 - 52*z**2 + 48*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1023 + -1151. Is 0.5 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {o: 8, n: 2, t: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 37. Let q be z(22). Let g(a) = a**3 + 22*a**2 - 42*a + 49. Let d be g(q). What is d rounded to the nearest 100?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 5*i - 2*i)*(2 - 2 + 1) + 28*i - 4*i + 0*i + (1 - 4 + 4)*(-3*i + 6*i + 0*i).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1832?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, o: 1, a: 1, q: 1}. Give prob of picking 1 a, 1 q, and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(1\/4))\/r)**(-21))**(-2\/23) assuming r is positive.\nAnswer: r**(105\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 3*p - 3. Let k be j(3). Let b(o) = o**2 - 2*o - 2. What are the prime factors of b(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381050 to the power of 1\/2, to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z - 2. Give f(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35015 and 705?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19448 - 5*s + 5*s - 2*s**2 + 19448.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920376.\nAnswer: 2, 3, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 22797*a**2. Let k(y) = 120*y. Calculate k(q(n)).\nAnswer: 2735640*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 2*d**9\/63 + 2*d**6\/15 + 121*d**5\/10 + 114*d**2. What is the third derivative of o(w) wrt w?\nAnswer: 1920*w**3 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/5)\/((-7)\/(-21)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435734164?\nAnswer: 2, 29, 599, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/2 - 69\/34. Let b be 102\/30 - 1\/((-5)\/(-2)). Suppose 3*g + b*z + 8 = -z, -4*g + 4*z + 8 = 0. Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 0*l**2 + 1\/3*l**3 - 8 + 2*l**4 + 0*l. What is the third derivative of x(w) wrt w?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7*s = 4. Find the third derivative of 7*y**3 - 4*y**s - 5*y**2 - 18*y**3 wrt y.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(10) - -1*sqrt(250)) - (sqrt(13) + sqrt(156)\/sqrt(3) - ((sqrt(13) - (sqrt(52) + sqrt(13))) + 0)).\nAnswer: -29*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, -3, -266, -695, -1290, -2051, -2978?\nAnswer: -4071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55946 * 9.\nAnswer: 503514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-20))\/((715\/(-132))\/65)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2508 + h**4 + 747*h - 1805*h + 778*h wrt h?\nAnswer: 4*h**3 - 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5096 and 21?\nAnswer: 15288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 7*v**2 + 1\/600*v**6 + 1\/150*v**5 + 0 + 0*v**3 + 1\/120*v**4 + 0*v. Factor k(g).\nAnswer: g*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159 + 167. Let j = 155 - -17. Let g = -100 + j. What is the greatest common factor of g and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -1, -72, 9, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-2 - 1)*-211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 180 - 35*o + 5\/3*o**2.\nAnswer: 5*(o - 12)*(o - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/7, -38676 in decreasing order.\nAnswer: -2\/7, -1, -38676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 - 61 - 35)*(3 + 2 - 2 - j) as i + x*j and give i.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 13*w + 29. Let p be l(0). Suppose -57 = -4*b + 79. Let y = b + p. Calculate the remainder when y is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*x + 5*x**3 + 8 - 3*x**3 - 8 wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*s = -204*s + 127*s - 4560 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**5\/60 - 17*x**4\/12 - 275*x**3\/6 - 25*x**2. Calculate the smallest common multiple of c(41) and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3 - 1. Suppose 0 = -i - u*i + 185. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4 - 1 + 1 + 4*d in the form y*d + g and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 + -55. Let q = s + 8. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 8:01 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137 + 139. Solve a*k - 2 = 2*p + 4*k, 5*p + 2*k = 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v + 65. What is q(-21)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 316 + -48ee7?\nAnswer: -48bd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*o - 3. Let c(l) be the second derivative of -l**5\/20 - l**3\/2 - l**2 + l. Let w(z) = -4*z - 2*z**3 + 0*z**3 - 5 + 2. Determine o*w(i) + 4*c(i).\nAnswer: 2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1861646 (base 10) to base 14.\nAnswer: 36662a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c - 8. Let g be d(18). Let u = 77 - g. What is the greatest common factor of u and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48959 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 5*g + 6. Let o be x(4). Let t be (20\/(-20))\/((18\/(-31))\/(-3)). Let f = 17\/3 + t. Do o and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-3)\/6*8\/(-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5301065501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -624 + -1.209?\nAnswer: -625.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.83 - 0.17. Let s = -24 - -30. Suppose -s*y + y + 50 = 0. Which is the second smallest value? (a) y (b) h (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -542, -543, -546, -551, -558?\n\"Answer: -o**2 + 2*o - 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-8))\/(26\/(9984\/32))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*r**2 - 26708*r + 2136.\nAnswer: 4*(r - 267)*(25*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - r + 6)*((-1 - 4 + 7)*(-21 + 2 + 3) + 2 + 0 + 0 - 1 + 2 + 1 + (-3 + 2 + 2)*(2 - 3 + 2)).\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16525.79 rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 2*j - j)*(4 - 4 + 2*j) - j**2 + 8 - 8 in the form t*j**2 + u + n*j and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-5*(-7)\/35)*5\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14*p - 36 = 0. Let w(t) = -3619 - p*t**2 + 3619. Let j(c) = -2*c. Determine w(j(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a kilogram in grams?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*6*sqrt(68))\/(sqrt(64)*3))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 0*s**2 + 6*s**2)*(-2*s**2 + s - s + (2*s - 4 + 4)*(-2*s + 3*s + s) + 0*s**2 - 2*s**2 + 4*s**2).\nAnswer: 24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -4*n - 71, 5*n - 45 = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -829 + 887 - (28 + 3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**4\/12 + 217*f**2\/2 + 9033*f. Give u(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9100\/(-1365))\/(((-2)\/9)\/((-5)\/(-5)))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from ffnnfnff.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2549 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(24)\/sqrt(2)))\/((sqrt(96) - sqrt(6))*-1).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 34*v - 6. Let m(g) = 506*g - 88. Let j(k) = -3*m(k) + 44*z(k). Let p(n) = 330*n. Calculate 44*j(r) + 3*p(r).\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 7:39 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.12 (b) -1\/3 (c) -4 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8931792 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -107*l + 1. Let f(x) = 107*x. Give 2*f(o) + 3*u(o).\nAnswer: -107*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 3\/2*f**2 + f + 2 - 2\/3*f**3. Determine k(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-441)\/4998)\/(-3*(-3)\/(-6))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -468 - -727. Does 31 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -2*a + w, 3*w + 0*w - 117 = -3*a. What is the highest common factor of a and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, a: 5}. Give prob of sequence akaa.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/24 and 95\/3052?\nAnswer: 18312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47518 by -2.\nAnswer: 23759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-6 + 0 + 1)*(476*t + 3 + 6 - 471*t).\nAnswer: 25*t + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51041, -51048, -51055, -51062?\nAnswer: -51069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33584 divided by -4.\nAnswer: -8396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 1\/10, 2\/11, 2\/43?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1 = -11. Solve k*b = 7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(1\/2)*x*x\/x**6*x*(x\/x**(-8\/7))\/x**5 assuming x is positive.\nAnswer: x**(-61\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -185. Suppose -5*o - q = -y, 3*y - o - 61 - 250 = 0. Does 34 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**3 - 2*a**2 - a. What are the prime factors of s(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -184*v + 7*v - 1062 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33004 - -2?\nAnswer: 33011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-165395)\/(-190))\/((-1)\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 4*p + 17*p + 26*p + 116*p as g + w*p and give w.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 59 = 58. Let i(t) = 4*t + 1. Calculate i(f).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + sqrt(304)).\nAnswer: -16*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 + -2. Let d = t - -0.6. Suppose 4*c = 8 + 8. What is the nearest to d in 2\/15, c, -0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165737 by 1.\nAnswer: 165737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -35 (b) 0.227 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 6. Let z = p - 2. Let s = 11 + -3. Calculate the least common multiple of s and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 5*q**2 + 2*q**2 + (-4*q - 5*q + 2*q)*(-11*q + 7*q + 14*q))*(-q**3 - 2*q**3 + 4*q**3).\nAnswer: -71*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 15*z. Let d(s) = 1032*s. Calculate d(h(f)).\nAnswer: 15480*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 4:34 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41\/10244 + -3\/197. Let g be 202\/13*14\/336. Let z = t - g. What is the closest to -2\/5 in -3, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/70)\/((-12)\/1530*-51)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 7. Let x(g) = 1. Let f(j) = 2*j - 18. Let u(b) = -b + 10. Let q(l) = 2*f(l) + 5*u(l). Let w(h) = q(h) - 6*x(h). Calculate 6*w(c) - 7*y(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 5*g**4 + 1445*g**3 + 100715*g**2 - 534345*g + 432180 = 0.\nAnswer: -147, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/((-21)\/(-12)) - -6. Suppose 0 = 2*x - 4 - q. Suppose 4*y = -5 + 21. Calculate the remainder when y is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 19. Let x(g) = g + 5. Let u be x(t). Solve 0*a + 3*a = -u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -685*((-30)\/25)\/3.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**8\/168 - h**6\/10 + 5*h**4\/24 + h**3\/3 - h**2 - 10. Find the second derivative of y(i) wrt i.\nAnswer: -40*i**3 - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/3 + 6\/9. Suppose 5*i = 2*i, 3*i = 2*v - 16. Suppose -4*g + v*g - 22*g = 0. Solve -s*q = a - 9, 0 = q - 1 - g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.1, 26, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 6:05 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + 4*n - 4*n)*(-3 + 1 + 0) + n - 4*n + 2*n)*(6*n**4 - 4*n**4 + n**2 + 49*n**4).\nAnswer: 51*n**5 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -474 or -722?\nAnswer: -474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, 1, -10, 3, -6, 2.\nAnswer: -135, -10, -6, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 3651 - 3996 = 0 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 4)*(d**3 - d**3 + d**4) + (31*d - 705 + 705)*(-2*d**3 + 3*d**3 + 2*d**3) + (-3*d**4 + 0*d**4 + 6*d**4)*(3 - 2 - 2).\nAnswer: 87*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 - 77*k**2 + 521*k + 301. What is m(8)?\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11332013 (base 4) to base 13\nAnswer: b192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0074 + 0.0541. Let t = 0.04367 - c. Round t to 4 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110128033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5*1599687.12\nAnswer: 7998435.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 13*p + 18*p = 0. What is the first derivative of -18 - 16 + p + d + 0 wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102*2.95.\nAnswer: -300.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4 - 224*f**3 + 7748*f**2 + 122000*f + 211200 = 0. Calculate f.\nAnswer: -10, -2, 60, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-15)\/(-18)*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -3 + 14 - 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/48 - 14\/24. Put 3, -5, o, 0.09 in decreasing order.\nAnswer: 3, 0.09, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5\/19 - 300*x**4\/19 + 3792*x**3\/19 - 15424*x**2\/19 + 20736*x\/19 = 0. What is x?\nAnswer: -162, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69846 + 69842. Let p(j) = -j**3 - 4*j**2 - 2*j + 2. Let w be p(-3). Sort u, w, 3.\nAnswer: u, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8250874\/204413 + -2\/18583. Let f = a + -37. Find the common denominator of f and 23\/59.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from {b: 2, o: 1, d: 2, k: 1, f: 2, a: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 3*i**7\/10 - 14*i**3 - 128*i**2. Find the first derivative of v(s) wrt s.\nAnswer: 252*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 899*g**3 + 0*g + 0*g - 3*g.\nAnswer: 899*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 - 11*r. Let s(b) = -7*b**2 + 23*b. Let w(h) = 9*d(h) + 4*s(h). Calculate w(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (610\/(-488))\/((-60)\/(-324))?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - l + 2)*(-2*l**2 + 4*l**2 + l**2) + 17*l - 17*l + 8*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - 4*n**3 + 6*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 48dd (base 15) to base 14\nAnswer: 591a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 166 and 105991?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2799 = 524*q - 1917 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4*i + i. Let u = 1376 + -1374. Find the third derivative of i*t**3 + 155*t**u - 137*t**2 + 11*t**3 wrt t.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*k = -707 + 147. Let r(d) = 3*d - 10. Let g(p) = p + 1. Give k*g(m) - r(m).\nAnswer: m + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = k - 5*i, -28*k + 12 = -27*k - 4*i. Let u = 7 + -6. Suppose -p - 6 + u = k, -2*q + 267 = -3*p. Does 18 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffayiyf. Give prob of sequence fa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 - 2*g**2 - 7*g - 12. Let a(m) = m**3 - m**2 - 9*m - 13. Calculate 3*a(d) - 2*b(d).\nAnswer: -d**3 + d**2 - 13*d - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2247369 by -3.\nAnswer: 749123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) -27\/2 (b) 4\/3 (c) -3\/4 (d) -0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -t - 132 + 124, -4*t + 5*h - 25 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e + -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z + 25996 = 26896 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3398*m - 3400*m + 6798*m + 39*m**2.\nAnswer: 39*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 111036203843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 30 = 219. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - -24?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3706078, -3706049, -3706000, -3705931, -3705842, -3705733?\nAnswer: -3705604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**3\/2 + 38*s**2 + 191*s. Give a(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((1 - 8\/7) + 0). Suppose d = -5*g - 2 + s, -3*d + 15 = 4*g. Suppose -4*z + 2*k = -20 - 254, 0 = -5*k - d. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**4\/4 + 8*d**3\/3 + 7*d**2\/2 - 3*d + 1. Let r be k(-7). Let p = r - -1. Is p smaller than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 30 = 7*z. Let r be (z\/(-9))\/(3\/(2*18)). Sort r, -5, 2 in increasing order.\nAnswer: -5, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**5\/5 + 4*s**4\/5 + 6*s**3\/5 - 16*s**2\/5 + 8*s\/5 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39737 is divided by 414?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1405 divided by -4\nAnswer: 1405\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3 = 0, y = -12794927*o + 12794930*o + 54 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 - (-4)\/(-8). Solve -3*y + 6 = -i*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 293 - 40*r**2 - 569 - 65*r + 246 - 5*r**3.\nAnswer: -5*(r + 1)**2*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m - p = 31, 5*m - 33 = 3*p. Calculate the greatest common factor of 48 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 4*c**2 + c + 1. Suppose 63 + 37 = 5*y. Suppose 5*n = 8 + 2. Suppose 3*t + t + y = 2*l, -n*t = 5*l - 2. Calculate u(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(85)\/(sqrt(15)\/sqrt(3)).\nAnswer: 2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2. Let o = -2722 - -2724. Suppose 2*h - 29 = h - m, -129 = -5*h + 3*m. Let p(k) = -h*k**2 + 12*k**2 + 13*k**o + 5*k**2. Determine w(p(b)).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 6 = -3. What is the remainder when 134 is divided by -5 - -4 - (-1 + 46\/q)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 7:22 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137 + n**3 + 93705*n - 93705*n to the form f*n**3 + l + m*n + c*n**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 4:34 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = i - 3*x, 3*i + 15 = -6*x + 2*x. Let g = -8 - i. List the prime factors of (-2 - -5)*(4 + g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2627 - -2633. What is the remainder when 33 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111321321131230 - 0?\nAnswer: 111321321131230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 73 = 18. What is the remainder when 78 is divided by (-1)\/(i\/((-693)\/(-3)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 21*w**2 + 8*w - 16. Let h(t) = -3*t**2 - 22*t - 4. Let z be h(-7). Calculate the remainder when j(z) is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 406311073163?\nAnswer: 406311073162.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365 is divided by 337.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -1\/8, 7, -5, 0?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4340 divided by 62.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(280)\/sqrt(20)*3)\/(-4*(sqrt(1152) + -2*sqrt(1152))))**2.\nAnswer: -3065\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3368215?\nAnswer: 5, 673643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 85?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 50.1 (c) -0.1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xie when three letters picked without replacement from eeeiieiiiiiixeieei?\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 738164 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 13*x**3 + 2*x - 1. Let b be l(1). Let p be b\/(-49) - ((-74)\/14 + 2). Solve d + 2*j + 2*j - 12 = 0, 8 = p*d - 2*j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpkf when four letters picked without replacement from {f: 5, m: 2, k: 3, p: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11687 (base 10) to base 5\nAnswer: 333222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 510*h**4 + 119?\nAnswer: 2040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1600 by 4.\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**5\/3 - 4*z**4\/3 - 32*z**3\/3 + 16*z**2.\nAnswer: 4*z**2*(z - 2)**2*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 + 0*m**4 - 4*m**4)*(-372 + 372 - 17*m + m - 1 + 1 + (-2 + 3 - 2)*(2*m + 2 - 2) + 3 - m - 3) + (1 + m - 1)*(-3*m**4 + 2*m**4 - m**4).\nAnswer: 93*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a**2 + 30*a**3 - a + 3*a + 31*a**3 - 55*a**3.\nAnswer: 2*a*(a + 1)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49854000 to the nearest one hundred thousand.\nAnswer: 49900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*c - 55*c. Suppose 0 = -c*s - 5*s + 40. Let a = s + -5. Solve -4 = 3*t - 8*t - k, -a*t = -2*k + 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 2*k - 4*o, -2*k + 0*k - 4*o + 110 = 0. Calculate the remainder when k is divided by (-4 + -1 + -2 + 11)*(-11)\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + r**2 - 1)*(r + 2*r - 5*r) + (-14 + 9 + 6 + (2 + 1 - 2)*(-2 + 3 + 1) - 2 + 5 - 2)*(0*r**3 + r**3 + 2*r**3).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*g + 26*g + 15*g)*(-35*g - 16*g - g).\nAnswer: -1040*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 103 = -28. Calculate the remainder when 134 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 452 - 469.46. Let p = 15.8 + i. What is p rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117*-7.085\nAnswer: 828.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((3*-1)\/3)\/(14\/(-2534)). Suppose -4*i = a - b, 2*a + 10 = -4*i + 192. Calculate the remainder when 174 is divided by i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -26*i + 3 - 4 + 4. Is w(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 2*j = 12*p + 58, 0 = -4*p - 3*j + 102. Suppose 0 = -2*q - 2*q + 12. Let r(k) = k**2 + 2*k. Calculate the remainder when p is divided by r(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*y**3 - 7*b*y**2 + 597*b + y**3 - 32*y + 23 wrt b?\nAnswer: 2*y**3 - 7*y**2 + 597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 89564, 89438, 89312, 89186, 89060?\n\"Answer: -126*v + 89690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 32 + 2)*(-4*r + 3*r + 2*r)*(8*r - 42*r - 12*r) to w*r + d*r**2 + m and give d.\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3\/7 + 8496*i**2\/7 - 34068*i\/7 - 6080.\nAnswer: 4*(i - 5)*(i + 1)*(i + 2128)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*w - 95, 4*z = 3*z - 4. Solve w*y + 20 = 32*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 5. Let q be x(0). Suppose t = -5*i + 4*i + 16, 25 = -q*t. Suppose -v = 2*v - i. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*z)*(-3 - z + 3) + 2*z**2 + 7*z**2 - 10*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32584, -129993, -292232, -519301?\nAnswer: -811200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -621389 to the nearest one thousand.\nAnswer: -621000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 1 (c) 107679 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 550575 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 1225*r**4\/3 - 5*r**2. Let b be f(-5). Round b to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -6*z + 59, -3865 = z - 5*s - 3879 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnvn when four letters picked without replacement from {v: 4, c: 7, m: 1, n: 4, i: 3}.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 28*n - 74. Give d(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k + k)*(-2 + 0 + 0 + (-1 - 4 + 6)*(-4 + 3 + 2)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5584873590.\nAnswer: 2, 3, 5, 20684717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139717 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + c + 45160 = 3*o, -4*o + 36112 = -4*c. Let k = o + -4233. What is k rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-400*k + 313*k - 914*k)*(3*k + 0*k - 2*k).\nAnswer: -1001*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4809993 (base 10) in base 9?\nAnswer: -10041056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3390 is divided by 226?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -503.06895 + 0.06895. Put -2\/5, x, 2, -0.2 in ascending order.\nAnswer: x, -2\/5, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y**2 - 5 - 2 + 7*y**2 - 12*y**3 to d + t*y**2 + q*y + l*y**3 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-3)*(-56)\/(-3080)*-33.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 11*m**2 + 26*m - 54. Let t be b(9). What is the highest common factor of t and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 278\/22 - 9060\/(-24915). Let m = -5 + 23. Solve m = o + l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406204 (base 8) to base 5.\nAnswer: 13244101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 758.643793892.\nAnswer: 758.543793892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c - 206. Let a be u(0). Let v be 2555\/7*8\/(-10). Let o = a - v. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136010 divided by 3\nAnswer: 136010\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1173*r**2 + 993*r**2 - 20292 + 178*r**2 + (3*r - 3*r - 2*r)*(-3*r + 4*r + 0*r) - 6*r**2 + 3*r**2 + r**2 in the form v*r**2 + n + s*r and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4*l - 1363, 2*t - 1834 = -2*t - 3*l. Let s = 655 - t. What is the highest common factor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43919 - 76?\nAnswer: 438a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20202 and 10?\nAnswer: 101010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b - 18. Let q be y(-11). What is the second derivative of -5*z**3 - 7*z**4 + 0*z**3 + 5*z**3 + q*z wrt z?\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 302 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-185 + 20*h + 185 + 15*h)*(-2*h - 2*h + 6*h) as j*h**2 + o + i*h and give j.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22193 = 13*k + 3824. Let h = 1983 - k. What are the prime factors of h?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.058*-414964.\nAnswer: 24067.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 8*q + 5. Let x be c(7). Suppose 5*i = -x + 72. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147*-8340.6\nAnswer: -1226068.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 9:37 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -699.338 + 1.638. Let m = j - -694. What is the nearest to 1 in -2\/3, 0.4, 5, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 20 = 0, -5*f - o = -9*f - 4. Let b be 0 - ((-5)\/3 + 1). What is the nearest to f in -0.4, -3, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -4, 2, 29342, -3, 3 in increasing order.\nAnswer: -4, -3, -1, 1, 2, 3, 29342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 1\/4*o**3 - 19\/2*o + 17\/4*o**2 + 0 = 0.\nAnswer: -19, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -15. Suppose 0 = 6*c - 16 - 2. Solve 4*p = -t - f + 32, 28 = 5*p - c*t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/9334893 - -24410745973\/3631273377. Let r = 1\/7002 - n. Let q = 2747\/6 + -460. Find the common denominator of q and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**4\/102 + 14*q**3\/17 + 441*q**2\/17 - 43*q. What is i in o(i) = 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 29. Let h(y) = 2*y**2 - 5*y - 4. Let q be h(4). Let u = l - q. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2819099838?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**6\/180 + v**3\/3 + v**2. Let r(m) be the first derivative of k(m). Let i(o) = -o. What is r(i(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 12:25 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 296083, 5, 11 in descending order.\nAnswer: 296083, 11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 41167019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -500 + 500. What is the nearest to t in -0.1, -9, -3, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-18\/5)*b)\/(b\/(b*b*b**(-1\/17))))\/(b**(-18)*b*b*b**(-23)\/b) assuming b is positive.\nAnswer: b**(3429\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 3*m + 0*m - m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**5 - 28*r**3 - 24*r**2.\nAnswer: 4*r**2*(r - 3)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 900 = 3*y - 126, -2314 = -3*j + 5*y. Let q = j + 925. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 - 36. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {d: 6, p: 2, y: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 77?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -828*d*i*k + d*i + 78*d*k - 2*d wrt i?\nAnswer: -828*d*k + d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 8576393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 2*v**2 - v. Let x(o) = -1. Let z(g) = -g - 1. Let r(u) = -x(u) + z(u). Calculate r(c(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -96041202 plus -0.70638?\nAnswer: -96041202.70638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31303320112 (base 4) to base 15.\nAnswer: -4b7a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231 + -321231?\nAnswer: -321000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(192) - sqrt(33)\/(sqrt(22)\/sqrt(2))).\nAnswer: 4 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95654 (base 16) to base 3.\nAnswer: -1011002101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 0*x + 6*x)*(0*x + 6*x - 4*x) + x**2 + x**2 - x**2 - 2*x + 2*x - x**2 + (0*x - 5*x + 4*x)*(-44*x + 22*x - 32*x) + 0*x + 0*x - 2*x**2.\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(550)*-2 + sqrt(550))\/sqrt(2).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/84 - (23\/(-12) + 2). Suppose -5*t + m + 5 = 0, 0 = -3*t - 2*t - 5*m - 25. Factor -n*s + t + 3\/4*s**2 - 3\/4*s**3 + 1\/4*s**4.\nAnswer: s*(s - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17875 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6079*g**4 - 374*g**2 - 19 wrt g?\nAnswer: 145896*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102703*r - 2730 = -102508*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 11*b - 13. What is n(15)?\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 14*d**2 - 26*d - 22. Let s be x(-12). Let z(c) = c - 1. What is z(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07451 - 0.03452. Let o = 1.04 - 1. Let n = o - z. Round n to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**2 + 12*t**2 - t**2 - 4*t**2. Let m(p) = -p**2 - 3*p. Give i(m(u)).\nAnswer: 2*u**4 + 12*u**3 + 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = 0, -673 = -o + 5*s + 2553. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(88) + sqrt(88)*-1 - sqrt(88)) - 4*(sqrt(88)*1 - sqrt(88)))\/(((2*sqrt(648) - sqrt(648)) + sqrt(648))*-4).\nAnswer: sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*u**2 + 17*u**2 + 2*u**3 - 4 + 17*u**2 to the form v*u**3 + z + l*u + s*u**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 10:16 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, j: 7}. Give prob of picking 4 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/4 of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*a**3 + 2*a**2 - a + 85*a**3 + 2 - 4 to the form l + t*a**2 + c*a + w*a**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0022025 rounded to 4 decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128 - -131. Suppose 0 = 4*x - 0*x. Suppose -d*h - h + 8 = x. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205355041.\nAnswer: 205355041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - h. Let i(f) = -3*f**3 + 5*f**2 - 6*f + 6. Let s(x) = i(x) - 2*y(x). Let v be s(2). Let j(o) = 51*o + 27. Is j(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p - 11. Let i(s) = -13*s - 21. Let y(h) = -6*i(h) + 11*w(h). Give y(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-258 + 450 - 296)*(-5*y + 0*y + y) to o + s*y and give s.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*i + 9*i, -3*i - 79965 = -3*n. What is the greatest common divisor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5580\/11 + -27339\/55. Which is greater: v or -10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 7*o + 4. Let k(f) = -2*f**3 - 15*f - 9. Suppose -2*t + 30 = 3*t. Calculate t*k(r) + 13*n(r).\nAnswer: r**3 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 5*u**2 - 3*u + 7. Let b(k) = -k - 5 + 7*k + k**2 + 3*k. Let f be b(-10). Determine z(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/127 + -496\/381. Sort -1\/4, 2\/5, f in decreasing order.\nAnswer: 2\/5, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*v + 183*v - 28*v**3 - 94*v + 13*v**3 + 3 in the form d*v**2 + j + a*v + w*v**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkpppklkkkpllakkkkk. What is prob of picking 3 p and 1 a?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -322, -1309, -2956, -5263?\n\"Answer: -330*v**2 + 3*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**2 + 4*y - 1. Let j be t(-5). Let z = -242 - j. Round z to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120782 = 4087*a + 10002 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 815930*b**2 + 35*b - 89390406 wrt b.\nAnswer: 1631860*b + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 96*w + w**3 + 0 + 3 - 93*w - 7 - w**2. Let y = 23 + -7. Calculate the remainder when y is divided by f(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32705 - 65406 + 211*k**2 + 32705 to t + d*k + s*k**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, d: 3, w: 4, k: 1, o: 1}. Give prob of picking 3 w.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 11*f - 3. Let d(j) = -j**2 - 6*j + 2. Let z(p) = 5*d(p) + 3*m(p). Let q be z(-2). Let w = q + 13. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 17. Let y be z(14). Suppose -3*s = y*b - 21, -s = -4*s. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 35*x - 60. Let p(d) = -9*d + 16. Let h(f) = -15*p(f) - 4*w(f). Let m be ((-36)\/39)\/6 + 67\/13. Let c(g) = -m*g**2 + 58*g - 58*g. Give c(h(s)).\nAnswer: -125*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10320234 - -42?\nAnswer: -10320142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25590119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2459*f**2 + 3*f*r + 7829*r wrt f.\nAnswer: 4918*f + 3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -1, -321, -14 in decreasing order.\nAnswer: 3, -1, -5, -14, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**35\/l)\/l)*l)\/l)\/l*l**(-28)*l*l**0\/(l*l**(-15\/2)) assuming l is positive.\nAnswer: l**(-107\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/20604 and -38\/17?\nAnswer: 20604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 10:30 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 1 = 2*o, 7*o - 2*o - p = 9. Let w be (3\/5)\/(1\/5). Suppose w*g - 5*l - 17 = 0, -6 = -3*g + g - 2*l. Solve o*u + 4 = g*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*q**4 - 90*q**4 + 63*q**4 + (3*q - 4*q + 2*q)*(0 + 4 - 5)*(-3*q**3 + q**3 + q**3).\nAnswer: -74*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -10, -67 = -3*u - u - v. What is the first derivative of -2 + 19 + u + 4 + 5*b**2 wrt b?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25150 (base 9) to base 6.\nAnswer: -210113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 13) in base 7?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 + (-6097)\/201)\/((-14)\/(-30)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/8098 or 1?\nAnswer: -11\/8098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 905 divide 40083355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.96422ms in seconds?\nAnswer: 0.06196422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/14*12432\/148*1.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 406 and 15000482.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*j*l*z**2 - 3*j*l*z + 5*j*s - 2*j*z**3 + 10*l*s*z**3 - 5*s*z**3 wrt l.\nAnswer: -4*j*z**2 - 3*j*z + 10*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - z - 2 = 0, -4*d + z = -8*d + 7. Suppose -2*i + 8 = 0, -x - 3*i - 4 = -d*x. Solve y - 3*y = x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6. Let x(k) = k + 1. Let h(n) = -o(n) + 6*x(n). Let b(l) = -l**2. What is h(b(y))?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5337 is divided by 803?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**4 + 6*v**4 - 5*v**4 + (2 - 2 - v**2)*(-9*v**2 - 4*v**2 + 4*v**2).\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 159 - (8 - (-175 + 89))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**2\/2 - 3*d + 1. Let y = -2 - 4. Let q be m(y). Solve 0 = -q*f + 6*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4454 - 4446 - 4448 - 4455 + 17803 + 18*l.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -22.4. Let h = 99 + -96. Sort 0.3, -14, h, x in ascending order.\nAnswer: -14, x, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 1:32 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52724 by -13.\nAnswer: -52724\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7337203115828642\/6267885 + -228267534059\/195. Let c = -1\/32143 - p. Let l = c - 3243\/91. Is 2 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7606.\nAnswer: 2, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3 + 11978274*f**2 - 35934801*f + 23956530 = 0. Calculate f.\nAnswer: 1, 2, 3992755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 948*j*q**2 + 7*j*q + 196*j + 723*q**2 + 44657 with respect to q.\nAnswer: 1896*j*q + 7*j + 1446*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/87)*y)\/y)**(-2\/15) assuming y is positive.\nAnswer: y**(-4\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -2.1.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - -0.2. Let z = 2152 - 873713\/406. Let u = -807\/2030 + z. Which is the nearest to 2\/3? (a) l (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eexxxxexxxxxxxee. Give prob of sequence xe.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 3*t**2 + 12*t**2 - 9 - 3*t)*(2*t - 3*t - t)*(-3*t + 2*t - t) in the form d*t**4 + g*t + l*t**3 + w*t**2 + x and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -100 - -1a?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15\/154 + -31063\/462. Let y = 68 + m. What is f in -2\/3*f**2 + y - 2\/3*f**3 + 2\/3*f = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6801126671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = 2*o + 6, -2*x - 2 = 4*o. Which is bigger: x or -1\/28?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 175 + -165. Solve -a*d + 4*d = -24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16\/5 - 12*l + 16\/5*l**2 = 0. Calculate l.\nAnswer: -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 165a - -bc71?\nAnswer: 105cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258528 is divided by 32315?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 96 + 1326 = 0. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4590879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/130 and (-147)\/(-392)*(18\/(-5) + -2).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 0*i - i**3 + 2*i**3 + 3*i**2 + 0*i. Let y be a(-3). Suppose -4*f - m + 14 = -3*m, y = -m - 3. Solve -2*v = f*v + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 192.2 + -192. Which is the nearest to v? (a) 0.4 (b) -1 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2 + 7. Suppose -4*m + u*v = -275, 4*m - 2*m - 2*v = 136. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-24))\/(5*7\/6930)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -5. Let j be (-1)\/(-4) - m\/8. Suppose j = -4*g + 9158 - 1158. Round g to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4\/7 of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53023021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -40. Suppose 8 = 2*g, -u + 2*u + p = 4*g. Put 5, 4, u in ascending order.\nAnswer: u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.17 (b) 0.1 (c) 16 (d) -121\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108997836.\nAnswer: 2, 3, 9083153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61972149*i**3 - 199364638*i**2?\nAnswer: 371832894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykmyoohsm. Give prob of sequence oo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.13 + -26.13. Put 0.1, -14, u, -0.5, 6 in descending order.\nAnswer: 6, 0.1, -0.5, u, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/34)\/(16\/32). What is the third biggest value in -4, 3, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 1396*t + 4186. Let q be u(-3). Put -246, q, 3 in decreasing order.\nAnswer: 3, q, -246","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 149, 0, 5 in decreasing order.\nAnswer: 149, 5, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -1, 1, -14, -15, -7, 4 in ascending order.\nAnswer: -15, -14, -7, -1, 1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/73832 and 67\/92290?\nAnswer: 369160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - z + 1 - 8.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 - 109. Solve -4 = -5*k + b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, e: 3, j: 2, d: 1, f: 7}. What is prob of picking 1 f, 1 j, and 1 m?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 3*u**2 - u + 4. Let y = 11 - 14. Is 3 a factor of f(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8113.61 meters to kilometers.\nAnswer: 8.11361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23560 - 11341 = -790*n - 7148 + 11747 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 343\nAnswer: -6\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 5*k - 2. Let p be z(5). Let x = 522741\/44 - 11879. Calculate the common denominator of ((-3)\/(-120))\/(p\/36) and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37630 and 104319900?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105631639345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -13. Let g be 14\/3 + (-1)\/(-3). Suppose -5*u + x - 59 = -2*t, g*u = -5*t + 210. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 455.6 and 536284091.\nAnswer: 536284546.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.097 - 9.007. Let j = 0.01 + p. Let t = -9.9 - j. Which is the third smallest value? (a) t (b) 0.1 (c) 4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 4\/9 (c) 31769\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2785*v + 30 = 2789*v, -4*v = -3*y - 26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-5 - -16) - -16 - 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97\/3*z + 1\/3*z**2 - 66 = 0.\nAnswer: -2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -879286340014 + 879286566335.89999936. Let k = c + -226322. Let x = 0.1 + k. What is x rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 5)*(p**2 + 0 + 0) + (-p + 0 + 0)*(91*p - 29*p - 37*p) to t*p + j*p**2 + h and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, -2, -5, -23 in descending order.\nAnswer: 0.18, -2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143937*l**2 + 47247*l**2 - 16165*l**2.\nAnswer: 175019*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001563442704 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-1 - -2) - (12 - 13). Suppose 257 = l*m - 5*c, 2*m - 3*c - 171 = -0*m. Is m != 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -244*d + 5368. Let z be k(22). Solve 4*j + 5*s - 30 = z, 49 - 29 = 2*j + 5*s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 + 4*r**2 - r**2)*(3656*r**2 + 18459*r**2 - 5103*r**2 + 68396*r**2 + 21896*r**2).\nAnswer: -214608*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/(-128))\/(72\/(-5184)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 454)\/((-1152)\/(-768)). Which is greater: j or 271?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 213, 242, 305, 414, 581, 818, 1137, 1550?\n\"Answer: 2*p**3 + 5*p**2 + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5796247243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2959 - 9116 = 4*b, -2*b - r = 6035. What is b rounded to the nearest 100?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 - 8628*x + 162479. Calculate y(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 4*t - 3*u = -32, -16 = -2*t - 2*u. Let f = t + -12. Put 5, f, 0 in decreasing order.\nAnswer: 5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (108\/90)\/(3\/10). Suppose 3*k - 4*k = -h*o + 1585, -5*o + 5*k + 1985 = 0. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmc when three letters picked without replacement from {m: 3, n: 5, i: 1, c: 2, a: 1, r: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5331, 10294, 15257, 20220, 25183, 30146?\nAnswer: 35109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16 - 28) + (-98)\/(-8). Suppose 1 = 4*f - 15. What is the closest to y in 4\/7, 2, f?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52304383*a*o - 18225558*a wrt o.\nAnswer: -52304383*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -41 - (-36 + 41 + -25) - (2 + (0 - 4))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -186.446 and 12.607?\nAnswer: 199.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 + 4)*(-2 - 4 + 3 + o) to w*o + f and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 j when three letters picked without replacement from {j: 1, p: 2, s: 1, c: 1, k: 4, o: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0 - c)*(-3*c - 4*c + 3*c)*(8*c + 3*c - 8*c - 6).\nAnswer: 12*c**3 - 48*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 w when four letters picked without replacement from wrrkriwikrrrrkkirrwr?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -271, -545, -817, -1087?\nAnswer: -1355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99 + 100. What is the nearest to v in -1\/2, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.21 from 0.116.\nAnswer: -2.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 7*m**2 - 7*m + 17. Let k(l) = l**3 - 8*l**2 - 8*l - 2. Let d be k(9). Let x be a(d). Let j = x - -12. Round j to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = -h - 6, -t - h + 6 = 0. Solve t*k + 1 = 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 17846.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2581283 - 1290645 + 1542*v - 1290638.\nAnswer: 1542*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107 + 157. Let a = 49.85 - b. Is a greater than or equal to 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 601 + -609. Let f(v) = 12*v - 26 - 28*v - 44*v. Is f(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-75)\/(-42) + -2)*((-1375)\/(-75) - 17). Put 0.1, 1\/5, -3\/10, j, -0.2 in decreasing order.\nAnswer: 1\/5, 0.1, -0.2, j, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1785, -1624, -1357, -984, -505?\n\"Answer: 53*g**2 + 2*g - 1840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, g: 5}. Give prob of picking 1 l and 1 g.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 4. Let c be 4\/18 - 8980\/(-90). Suppose -6*y + y + c = 0. Calculate the smallest common multiple of x(4) and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 196*q**5\/5 + 17*q**4\/12 + 7*q**3\/3 + 252*q. What is the third derivative of a(v) wrt v?\nAnswer: 4704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15135 and 11615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*z**2 + 0*z**2 - 29*z**2)*(-25*z - 24*z - 2*z**3 + 45*z).\nAnswer: 28*z**5 + 56*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6) - (354\/(-72) + 4). What is the closest to v in -0.1, -2\/7, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -858, 2\/3, 4.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2\/5)*x)\/(x**(1\/4)\/x*x))**(-27\/5)\/(x**(-6)\/x**(-2\/7)*(x*x*x*x**0*x*x)\/x**(-3\/2)) assuming x is positive.\nAnswer: x**(-8677\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1*27.48\nAnswer: -27.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olqololll. Give prob of picking 1 q and 3 o.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/8375 and -65\/2412.\nAnswer: 301500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113608697.\nAnswer: 1061, 107077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 3542958.\nAnswer: 53144370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 385261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3179 is divided by 1586?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41449?\nAnswer: 181, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 9 = i. Let v be i\/(-15) + (-1)\/5. Suppose v = m - 5*c - 34, 0 = 2*c + 6. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1. Let a(t) = -3*t**2 - 2*t + 5. Let p(u) = -a(u) - 3*s(u). What are the prime factors of p(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 34?\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3 = 4*b - 19, -5 = 5*b. Suppose 3*s + 4 = s - g*a, -s = -5*a + 2. What is the nearest to 1 in -1\/5, s, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168522 by -168522.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2255284 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(238\/68)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-54)\/460)\/9)\/((-9)\/(-15)*(-1064)\/(-532))?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*-2*(-2)\/4. Suppose 3*o = 3*x + 12, 0 - 16 = 4*o + 4*x. Suppose 5*t = -o*t + 10. Solve -t*w - 8 = -j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(102) + (sqrt(102)*2 - sqrt(102)) - sqrt(102)) - sqrt(102) - sqrt(102))\/(1*sqrt(6)*-2 - sqrt(6)) + 5.\nAnswer: 5 + 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - 53 - -96) + (-77 - (1 - 2))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 38 = -9*m + 4*m, -5*x - m + 72 = 0. Suppose 2*y = -2, 7*r - 11*r - 147 = 3*y. What is the lowest common multiple of x and 1*(-20)\/8*r\/5?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11922 - 21903\/2. Let x = 948 - o. Is -23 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 393758239 to the nearest integer?\nAnswer: 19843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02313084 rounded to four decimal places?\nAnswer: 0.0231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5180\/339 + -6\/113. Find the common denominator of 4\/11 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*y + 30 = 128*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50094, 400710, 1352388, 3205662, 6261066, 10819134?\nAnswer: 17180400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3932941965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**4\/12 + 13*r**3\/6 + 2*r**2. Let c be u(4). Suppose -2*p - 8 + 18 = 0. Solve -4*x - 4 = 0, x - c*x + 1 = p*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in 4, 2\/15, 3, 50?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c*o - c*p - 5*c - 2*o**3*p + 2*o**2*p + o**2 - 2 wrt o?\nAnswer: -3*c - 6*o**2*p + 4*o*p + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 34.764 seconds?\nAnswer: 34764000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3336 (base 8) to base 10\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**4 + 1 + 0*w + 2 - w - 4 to the form o*w**3 + z*w**4 + l*w + r*w**2 + c and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39b44 (base 12) to base 14.\nAnswer: -20d12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-10))\/(1 - 21\/35). Let l(t) = -4*t + 10. Let r be l(k). Solve -w = -4*x + r*x - 1, -3*w - 4*x + 13 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 1*sqrt(99)*4 + sqrt(99) + sqrt(99))\/sqrt(9).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 48175 = -91328. What are the prime factors of k?\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -29\/38904?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -308, -444, -580, -716, -852, -988?\n\"Answer: -136*l - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 4:33 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpiimimm. Give prob of picking 2 m.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 58 - 58)*(-4*f + f + f + (0 + 5 - 2)*(-3*f + 3*f + f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4 (c) 86.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2\/7 - 3575*k\/7 - 14316\/7 = 0. Calculate k.\nAnswer: -4, 3579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 243*n. Let w(k) = -3*k**2 - 64. What is l(w(c))?\nAnswer: -729*c**2 - 15552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -113706, 5, 1\/5 in decreasing order.\nAnswer: 5, 3, 1\/5, -4, -113706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 k when three letters picked without replacement from {k: 5, n: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**3\/5 - 15*s**2 - 4698*s\/5 = 0. Calculate s.\nAnswer: -29, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4510 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 86750696 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 195.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 0*l + 0*l)*(-15*l + 21*l + 22*l) in the form j + a*l + h*l**2 and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cckgkkkkkkckcckkkbc. Give prob of sequence cck.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - (sqrt(36) + sqrt(1296)*-1 + sqrt(36)))\/(sqrt(108)*-2 + sqrt(12)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 60.889, -0.1, 0?\nAnswer: 60.889","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f - 2*f**5 + 0*f + 102*f**5 - 125*f**5 + 56*f**5 + (3*f**2 + 3*f**2 - 4*f**2)*(f**3 - f**3 - f**3).\nAnswer: 29*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j + 2. What is the units digit of l(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (224\/(-48))\/(4\/(-6)). Solve -3*k - 2 - s = -3*t, 5*k + 20 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51241 is divided by 445?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2\/3 - 36220*k\/3 - 29763496\/3.\nAnswer: -4*(k + 914)*(k + 8141)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 149\/(-380) - 88\/(-220). Let g(b) = -10*b - 200. Let a be g(-20). Which is smaller: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from {r: 1, w: 1, g: 1, d: 2, u: 1, p: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2648987*t**2 - 5298471*t**2 + 2649478*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m. Let k be z(1). Let q be 26\/(-22) + k + -1. Let s = 11 - 6. Which is the third smallest value? (a) s (b) -2\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1418493689, -1418493690, -1418493691?\n\"Answer: -m - 1418493688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:25 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:55 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**4\/9 - 256*z**3 - 11546*z**2\/9 + 256*z + 11545\/9 = 0.\nAnswer: -5, -1, 1, 2309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2735 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 1 (c) 11 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 5*l - 3 - 32 = 0, 0 = -5*c + 4*l + 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 34*n**2 - 32*n**2 + 68*n**2 - 2*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 4.844. Let c = 0.244 + y. What is the fourth biggest value in c, 1, 2\/17, 20?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 95*f**2 + 73*f + 2079. Is a(-93) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 218 - 418. Let g = 197 + q. Let l(f) = f**3 + 7*f**2 + 5*f - 4. Let o be l(-6). Which is the nearest to -2? (a) o (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7373221 to the power of 1\/2, to the nearest integer?\nAnswer: 2715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30624 and 5616?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.162?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 81 = -4*f, f + 10*c = 12*c - 14. Let x be 9\/(36\/16)*(-18)\/f. Solve 5 = x*p + 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m - 564. Let t = 13 - 9. Suppose 8*s - m = 3*s + t*o, 4*s = 3*o + 112. Solve 5*l = -s, -5*l - 28 = -2*p + 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2341*c**2. Let p(m) be the first derivative of m**3\/3 + 323. Give p(a(j)).\nAnswer: 5480281*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: -5582 divided by 38\nAnswer: -2791\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 151*j + 1494. Determine c(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -257, -443, -629, -815, -1001?\nAnswer: -1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4*4\/(-3). Let y be 1\/(-4) - 1\/(-4). Which is bigger: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1701120 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*x**5 + 31 - 31 + (-2*x + 0 + 0)*(326*x**2 + 2*x**4 - 326*x**2).\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 983, 905, 827, 749, 671?\n\"Answer: -78*f + 1061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80668291 is divided by 57171.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -490 + 707. Calculate the remainder when m is divided by 264\/(-9)*(216\/16)\/(-9).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -356088, -1424379, -3204876, -5697579?\nAnswer: -8902488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 644*t**3 - 15*t**4 - 644*t**3 - 9 wrt t.\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 7*g**2 - 23*g + 5. Let n be p(10). Is 1\/2 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9533 - -9533.02. What is the biggest value in -1\/7, c, -0.2, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k - 70. Let y be (10\/(-3))\/(-10) - ((-1218)\/9)\/(-7). What is l(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -13*j**2. Let h(r) = 2*r**2 + 1368857*r. What is h(q(d))?\nAnswer: 338*d**4 - 17795141*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 1776?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 10:52 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5166 and 4428?\nAnswer: 30996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + 2 + -3 + (-1 + 2*sqrt(147))**2 + (5*(sqrt(147) + 2)*3*-6)**2.\nAnswer: 226779*sqrt(3) + 1223688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 162, 324, 490, 660, 834?\n\"Answer: 2*l**2 + 156*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -29\/4, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -4858?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 79c + a?\nAnswer: 7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11859 - 4748 = -4212*c + 45019 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 435 or 30870\/71?\nAnswer: 435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + 2*t. Suppose -6*v + 13349 + 3613 = t. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 11457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*f + 1407*f + 39416 = 0 for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3386 - -2231. Let o = -796 - f. List the prime factors of o.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2556767?\nAnswer: 173, 14779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 90 = -3*r + 3*i, 4*r + 55 = -i. Is -14 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1515339 is divided by 70?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 11*f**2 + 12*f - 18. Let p be k(10). Suppose -4*h + a + 648 = 0, a - p*a = -5*h + 810. Calculate the highest common divisor of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - r + 11 = 0, -5*r - 4 + 2 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-65) + (-1 - -3 - (-432760)\/65). Which is smaller: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-196)\/(-21) + -8)*3\/2. Suppose c + u*c = 6. Suppose c*n - n + 4*z - 68 = 0, 2*z + 116 = 2*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 629.6018 millennia to decades.\nAnswer: 62960.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -405 times 0.03\nAnswer: -12.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 178*o + 1720. Determine u(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jljl when four letters picked without replacement from {l: 2, v: 1, y: 1, a: 1, j: 2, h: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**3*s**2 + 59*o**3*s + 445*s**2 + 2*s with respect to o.\nAnswer: 3*o**2*s**2 + 177*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -2650362.\nAnswer: 1060144.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -2 + 4 - 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - 2) + (-476 - -396).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 103*w**4\/24 - w**2 - 11*w. Let f(r) = r**2. Determine a(f(u)).\nAnswer: 103*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.28 - -1.28. Let p = 0.108 + -0.308. What is the second smallest value in -2\/31, p, d?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 4*p - 13. Let a(m) = -16*m**2 - 47*m - 49. Let s be a(-1). Does p = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2227.\nAnswer: 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 7. Suppose 5*g + 34 + 21 = 4*x, -5*x = 3*g - 41. Let v be t(x). Let o(y) = 3*y - 1. Calculate the lowest common multiple of o(v) and 17.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 1383396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 25286*v + 202315. Calculate y(-8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 2. Let x be p(-8). Suppose 0 = -k + x*k. Put k, -5, 3 in increasing order.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 274, 270, 266?\n\"Answer: -4*u + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0927 - 3.9627. Let m = -0.47 - y. Let h = 2.4 - m. What is the closest to h in -2, -2\/9, 2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-f**3 + f**3 - 2*f**3) + 5*f**3 + 0*f**3 - 4*f**3 + (-f**3 + 0*f**3 + 3*f**3)*(6 + 0 + 1) - 1 + 4*f**3 + 1.\nAnswer: 23*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -16. Let r = w - -13. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 + 12823213*u\/5 - 6411606\/5.\nAnswer: -(u - 6411606)*(2*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**3 + k**2 + 6*k - 8. What is g(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 585732 + 2924268. Round q to the nearest 100000.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 0*b**3 - 2*b - 5\/2*b**2 + 0 + 5\/12*b**4. What is the first derivative of f(r) wrt r?\nAnswer: 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -17.4 (b) 0.2 (c) -1\/29 (d) -1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6336 = -21*u + 8700. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1845 + 1.1845. What is the second biggest value in o, -18, 99, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/4 and 167\/360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45.96 - -46.54. Which is smaller: 0.9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esse. Give prob of sequence ee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 509206?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20.5187399163 and 32.23.\nAnswer: 11.7112600837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*m - 1059*m - 244*m + 33394 = -62580 for m.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 18*s - 30 + 16 to the form i*s + w and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**8\/1680 + d**4\/24 - 2*d**3\/3 - 3. Let z(k) be the third derivative of r(k). What is the first derivative of z(t) wrt t?\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2 + 3 - 5 + 11*l. Let t(v) = 3*v**2 - 17*v - 17. Let i(y) = y**2 - 6*y - 6. Let z(s) = 17*i(s) - 6*t(s). Calculate b(z(k)).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 + 5.4. Is 2 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -36\/17, 432, 4?\nAnswer: 432","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*t = -12, -2*t - 20 = 528*p - 534*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -5. Let c be 2 - o - 18\/(-14). Let r = 89.4 - 89.5. What is the nearest to 1 in c, r, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -6*g + 37 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/64)\/((-5)\/(70\/(-14))).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + v + 7. Suppose 2*z = -z. Let k = 3 + z. Let a = -3 + k. Give l(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4221 - 164629\/39. Is f <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**4\/12 - 13*i**3\/6 + 22*i**2 - 6*i. Suppose 43*o - 251 = 179. What is the least common multiple of r(o) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24153 in 2\/13, 3.1, -0.3, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 0.5, 1\/6, 0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90070173 divided by 4119.\nAnswer: 21867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 11*x + 24. Let d be i(-2). Suppose -3*w - w + 12 = 0. Suppose -h + u - 30300001 = d*u, w*u = 2*h + 60599997. Round h to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2 + 1498*p + 1496 = 0.\nAnswer: -748, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3678*f**4 + f**3 + 2*f**2 - 142*f - 2?\nAnswer: -44136*f**2 + 6*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 24*w**3 - 2*w + 2. Let g be o(1). Suppose -j + 33 = 5*t, -g*j + 23*j + 19 = 3*t. Let k(q) = -q**2 + 10*q - 21. What is k(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 2*h - 4*h - 8*h + 3*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 26, 14, -2, -22?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdh when three letters picked without replacement from {d: 6, h: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39, -41, -61, -111, -203, -349?\n\"Answer: -2*l**3 + 3*l**2 + 3*l - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107798091?\nAnswer: 3, 35932697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/505 + 1714\/1515. Calculate the common denominator of h and 61\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*s**5 + 3*s**4 - 92*s wrt s?\nAnswer: -120*s**3 + 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 224698279.96937 - 224702305. Let a = -4025 - f. Round a to three decimal places.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 21*t + 132. Calculate the remainder when s(-4) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2155*i**2*t**6 - 4*i**2*t**4 - 4*i**2*t**2 - 18*i**2 - i*t**2 - 58 wrt t.\nAnswer: -258600*i**2*t**3 - 96*i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95018195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**3 + 9512566*m**2 - 9512566*m**2.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07535 * 813.\nAnswer: -61.25955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 13*k**4 - k**2 - 2. Let q(y) = 13*y**4 - 3. Let m(j) = -3*f(j) + 2*q(j). Find the third derivative of m(p) wrt p.\nAnswer: -312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2444 and 234?\nAnswer: 21996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120112012022 (base 3) to base 14.\nAnswer: -7d522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-20)*2 + 44\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r - 3*r)*(2 - r - 2) + 5 - 28*r**2 - 5 + (11*r + 1 - 1 + 0*r)*(2 - 4 - 2)*(0*r + 2*r - 6*r).\nAnswer: 150*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*sqrt(171)*1)\/(-4*(sqrt(9)*-2 + sqrt(9))*1) + 1.\nAnswer: 1 + 15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4982403.2230143 + -4982403. Let d = b - 0.223. What is d rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 867840 and 197976?\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5697634 is divided by 38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11674079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by (-100)\/15*(-9)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/7)\/(8\/(-28)). What is the second derivative of -7*y + 8*y**h + 7*y**2 + y - 7*y**2 wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48485.278 to the nearest 1000.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/13 - 18345508*v\/13 + 42069707972258\/13.\nAnswer: 2*(v - 4586377)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.13 (b) 2\/5 (c) -0.2 (d) -119\/19 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19609 - 11706. Let q = 20666 - t. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1dfd + 26?\nAnswer: -1dd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.344850026 to 5 decimal places.\nAnswer: -0.34485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 348 = 19*w - 6*j, 45149*j = -2*w + 45145*j + 28 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**3 - 4*a - 5*a**3 - a**4 + 11*a**3 + (-23*a**2 - 8 + 8)*(2 + a**2 - 2) + 3*a**2 + 2*a**4 - 3*a**2 + 152*a + 2*a**4 + 0*a**4 - 150*a.\nAnswer: -20*a**4 + 2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o + 11*o + 36 - 9. List the prime factors of v(14).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/20 + (-14)\/(-30). Let p = -2 + 2.1. What is the closest to -2\/11 in s, p, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/10)\/3 + 0. Let y be (-8)\/(-6)*(-3)\/2566. Let t = 2592\/16679 + y. Put 3\/7, t, u in descending order.\nAnswer: 3\/7, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*r - 54*r - 5*x - 25, r + 13 = -2*x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 78187 = -15787. Suppose -7*w + 4*g = -3*w - v, 0 = -4*w - 2*g + 2618. List the prime factors of w.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3976\/(-3) + -1)*9465. Let s = w + 8053745. What is s rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t - 38 - 2. Let y = 0.1 - -0.9. Let o = y + -1.2. Which is the second biggest value? (a) t (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-j - j + 0*j) + (1 - 1 + 2*j)*(-1 - 4 + 6) + 3*j + 3*j - 3*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/160*6)\/((-3)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y + 14 = 4*j, 5*j - 5 = -5*y. Suppose j*d + 0*d - 5*d = 0. Is -2\/381 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*r - 23*r, -4*a + 4*r = -48. Solve 13 = -5*z - a, z = 4*s - 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g**(-7)*g*(g\/(g**14\/g))\/(g\/((g\/(g*g*g**0*g*g*g))\/g*g*g)))**(-8\/3) assuming g is positive.\nAnswer: g**(208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 514.41629 and -2645411.\nAnswer: -2644896.58371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253 divided by 2192.\nAnswer: 253\/2192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 33*o - 378. Let u be a(11). Let h = 18 + -32. Is u not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -33*q**3 + 2*q**2 - 6*q. Let s(n) = -n**3 - n. Let l = -16468 + 16469. Give l*j(f) - 5*s(f).\nAnswer: -28*f**3 + 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 101230 (base 4) to base 13\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 4.6. Let v = 142.43 - 6.43. Let m = -137 + v. What is the closest to m in -0.5, -0.02, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/115? (a) -4 (b) -0.4 (c) -1\/4 (d) 801\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.068 + -53.068. Let y = -42.34 - 14.66. Let f = y - v. What is the second smallest value in f, 1, 0.05, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let h(g) = -9*g**2 - 12*g - 12. Let b(n) = 4 - n**2 + n - 2*n - 5. Let m(l) = 12*b(l) - h(l). What is a(m(r))?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -929\/153 at most as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.075 (b) 111 (c) 4 (d) 28.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1930781 is divided by 420.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5\/3 + 31605976*s**4\/3 + 124867214864072*s**3\/3.\nAnswer: 2*s**3*(s + 7901494)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = l + 54. Let o(m) = 7*m**2 + 118*m - 11. Calculate the remainder when l is divided by o(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/8)*p)\/p)**(-1\/2) assuming p is positive.\nAnswer: p**(-1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000707 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1335272300 by -1763900.\nAnswer: -757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3*v**3 + 20*m**3*v**2 - 15*m**3 - 6*m*v**2 - 12*m*v + m wrt v.\nAnswer: 12*m**3*v + 40*m**3 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 25 - 26680\/1044.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4855438 * -13.\nAnswer: -63120694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.097 times 4.8\nAnswer: -0.4656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**4\/24 - i**2. Let u(z) = -35*z. What is u(o(h))?\nAnswer: 35*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68714*w**3 + 34363*w**3 + 34349*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 7*k**4\/12 - 2*k**3\/3 + 25*k**2\/2 - 20*k. What is the tens digit of w(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1359.2617011 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5, -4*n - 2 = 3*d - 159. Suppose 5*t - n = 6*t. Let g be (-36)\/(-10) - 16\/t. Solve -g = -0*a - 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 14*t**2 - 9*t. Suppose 2*k + 4 - 8 = 0. Let r(b) = -3*b + 0*b**2 - 2*b**2 + 6*b**2 + b**k. Give 4*q(j) - 11*r(j).\nAnswer: j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h + 169857 - 169443 = 0 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 68*d + 721. Calculate b(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37, -151, -341, -607, -949, -1367, -1861?\n\"Answer: -38*a**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -4 (c) 15 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*z = -3, z + 30 = 4*j + 3*z. Let c be ((-9)\/j)\/(12\/4). What is the nearest to 0 in 0, c, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*t - 4*f, 4*t + 4*f = 3*f - 6. Let h be 0 + -1 - (2 + t). Which is the second smallest value? (a) h (b) 2\/7 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 7) to base 3\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 2803 = 20367. Do f and 2317 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + a + 2. Let z be 2\/(-4)*24\/(-6). What is the smallest common multiple of x(0) and 0 + 2 - (-2)\/z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96152*d - 1 + 0 + 1 + 95841*d.\nAnswer: -311*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 4*x - f, -2*x - 39 = -3*f - 4. Let v(z) = -z**3 - 27*z**2 - 50*z + 31. Calculate the remainder when v(x) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2111116553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1093132, -1093130, -1093128, -1093126?\n\"Answer: 2*f - 1093134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 38445 and 38553 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.8, -12\/11, -0.4 in descending order.\nAnswer: -0.4, -12\/11, -12.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11413.\nAnswer: 101, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-88) - (1764\/280)\/((-8)\/(-70))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*q + 5*y, 3*q - 57 = -q - y. Let s = q + -13. Solve -5*p + 5*x = -50, 3*p + s*x - x = 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417758522.\nAnswer: 2, 3, 4003, 59029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4\/3*g + 4*g**2 - 8\/3 - 4\/3*g**3 - 4\/3*g**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 9. Let g(n) = n**2 + 5*n - 6. Let r be g(m). Suppose -2*i = 6, 3*i + r = 5*a - 0. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -172889, -172711, -172533, -172355, -172177, -171999?\n\"Answer: 178*t - 173067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**3 + 3*y**3 + 555 - 610.\nAnswer: -8*y**3 - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*g - 798*g + 27183 = 0 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -52. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 16302\nAnswer: -1630.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*n - 2*n - 8, -4*j + n - 6 = 0. Let b(r) = 4 - 8 + 3. Let o(s) = 9*s - 7*s - 10 + 13. Determine j*b(c) - o(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.182 + 0.082. What is the closest to -1\/2 in d, -3, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 4*f - 2. Let l be z(4). Let r = 21 - 23. Let s be r + (-2)\/((-12)\/9). Which is the fourth smallest value? (a) -0.4 (b) s (c) l (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(2\/29)*v*v\/(v**(-33)\/v) assuming v is positive.\nAnswer: v**(1071\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6007836*k*u + 14317267*k wrt u.\nAnswer: -6007836*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 a factor of 6975521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-3 + 2) + -293 + 283.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 greater than 456092\/367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from vvvvejvdh?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50.936 + 51. Let l = -2.09 - -2.177. Let w = o - l. Round w to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9567952?\nAnswer: 2, 597997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/7)\/(1*100\/70).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - l = 22, -3*w + 0 = -4*l - 3. Suppose -2*s = 1 - w. Sort -0.1, -2\/11, 0.3, s.\nAnswer: -2\/11, -0.1, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -c03?\nAnswer: -c00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/199206945 and 59\/1044.\nAnswer: 796827780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86380359?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 + 176*l**2 + 144*l**2.\nAnswer: 313*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56978\/(-8) + 3\/12. Let i = k + 3622. What is i rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -1. Let g = 382\/7 - 55. Let z = -1793.8 - -1794. Sort c, z, g.\nAnswer: c, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 4*k**2 + k. Let f = 8 + -3. Let v be 2\/f - (-258)\/30. Let i = -5 + v. Calculate y(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49972, -399664, -1348852, -3197290, -6244732, -10790932?\nAnswer: -17135644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -11*x**2 + 2. Let s(w) = 33*w**2 - 7*w + 21. Let y(g) = -23*g**2 + 5*g - 15. Let m(h) = 5*s(h) + 7*y(h). Calculate m(l(o)).\nAnswer: 484*o**4 - 176*o**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = v - 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1574)\/3*9\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2374349 and -41.2.\nAnswer: 2374307.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1892 by -4.\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-3) + 2 + (-4 - 0). Is 2\/25 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, -4, -0.5, 8, 18521 in decreasing order.\nAnswer: 18521, 8, 4, 0.2, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 135*v + 28 - 38*v + 111*v.\nAnswer: 208*v - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 69 = n + 5*f, 3*f = -4*n + 92. What is the remainder when 41 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -15, 2*q - 51 = 49*w - 35*w + 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11122210 (base 3) in base 8?\nAnswer: 6504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14211*b**2 - 168 + 15019*b**2 + 171 to the form s*b + c*b**2 + f and give c.\nAnswer: 808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*w - 3. Let r(o) = 3*o**2 + w*o**2 - 6*o**2. Let n(d) be the second derivative of d**4\/12 - d. Determine r(n(k)).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 3. Let n be q(3). Suppose 2*j + n = -2*f - 2, -5*j + f = -19. Let g be j + -1 + (0 - -2). Which is bigger: g or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 229*q + 391*q - 84*q**3 + 770*q**3 wrt q?\nAnswer: 4116*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeeeeeeeeeeqqeqqee?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -668 - -670. Suppose q*r = 28*r - 364. Solve 0 = -8*i - r - 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*h**5*i - 7*h**4 - 261*h + 11*i wrt h.\nAnswer: -800*h**3*i - 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3389.94 kilometers to centimeters.\nAnswer: 338994000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139*w + 1397 - 1397)*(w - w + 2*w**4 + (2*w - 2*w - 2*w**2)*(-3*w**2 - 2*w**2 + 4*w**2) + w**4 - w + w).\nAnswer: -695*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1064\/(-798))\/((26\/65)\/((-6)\/(-215))).\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -8*h + 5. Let z be v(-6). Let a = 17 + z. What is the greatest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -72*n**3 - 15*n**2*u**3 + n*u**3 - 4*u**3 + 515*u - 3 wrt n?\nAnswer: -216*n**2 - 30*n*u**3 + u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 - 68*u**2 + 5*u + 170. Let l be f(-34). Which is the biggest value? (a) -5 (b) 2 (c) -3 (d) l (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 + 11 + -2 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 1)*(0*b + 0*b - b)*(-b + 4*b - b) + (-2*b + 2*b - 3*b)*(-b + 2 - 2).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/12*6\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 4*g**2 - 12*g**2 - 2*g**2.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 360463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/930357 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (191775\/(-5114))\/(180\/(-6)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -469*l + 472. Let r be y(1). Let q be -1 - ((-1 - -1) + 4). Put r, 5, q, -2 in increasing order.\nAnswer: q, -2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1072, -38, 4 in decreasing order.\nAnswer: 1072, 4, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:10 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*v - 77*v = 5*w - 20, 0 = 4*w + 5*v - 25 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*i, 5*t + 6008061 = i + 18818062. Round t to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 8. Let v be a(-3). Suppose -v*h + 508 = -127. What are the prime factors of h?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*n**3 + 2235*n + 1255*n**2 + 1 + 1 + 56*n**3 - 21*n**3 wrt n.\nAnswer: 24*n + 2510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -524663\nAnswer: -9\/524663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/4120 and 137\/18?\nAnswer: 37080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 11610*p**2. Let d(j) = -j. Calculate o(d(h)).\nAnswer: 11610*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(35) - sqrt(35))*-5)\/(6*sqrt(7)*2)*-2.\nAnswer: -5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x + 2. Let m be g(-6). Let r be ((-1)\/14)\/(m\/56). Determine s so that -r*s**4 + 1\/2*s - 1\/2*s**3 + 1\/4 + 0*s**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35684072 or -35684073?\nAnswer: -35684073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 19*m**2 + m + 25. Let j be f(-19). Suppose -2*p + j*p = 4*l - 148, 0 = -p - 4. Which is bigger: l or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-76)\/(-171))\/(1\/9). Solve -q = -d*a + 16, 0 = 5*q - 2*a + 3*a - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -278*c**3 + 3*c**2 - 389938*c?\nAnswer: -1668*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w. Let z(k) = 125*k**2. Calculate u(z(r)).\nAnswer: -500*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1520*i + i**2 + 149 + 13 + 1463*i = 0. What is i?\nAnswer: 3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 84\/(-8)*28\/(-49). Solve a + a - z = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219070*g + 219366*g - 12002 = -41602 for g.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -32. Let s = w - -1. Let m = 4.6 + -0.6. Which is the closest to 0? (a) m (b) s (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/68*2\/(-4)*1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 0*q + 0*q + 5*q + q - 4*q + (3 + q - 3)*(-498 - 21 - 597).\nAnswer: -1116*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79651609*u**3 - 737215927 wrt u?\nAnswer: -238954827*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23535.688 - 23508. What is k rounded to one dp?\nAnswer: 27.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*g + 12*g**4 + 16*g)*(-13 + 26*g + 13) + 3*g - g**5 - 3*g + 2*g**5 + 2*g**3 - 2*g**3.\nAnswer: 313*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - i + 24. Determine x(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeyyscoeosoees. Give prob of sequence syc.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -304 or -160347?\nAnswer: -304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475 + 0*m**2 - 6*m**2 + 475.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 13*j**4 + 2*j**3 - 2*j**2 - 2*j. Let b(h) = 7*h**4 + h**3 - h**2 - h. Let v = -1 - 5. Let o(m) = v*s(m) + 11*b(m). Factor o(g).\nAnswer: -g*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -217 - -412. What is the units digit of (y\/15 - 12) + 2292\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 3, -28.5, -0.3, 1.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4204 and 1306393?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by 13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 238\/1311 + 2\/69. Let l = 31 + -31. What is the closest to l in 1\/4, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 8*z**2 - 5*z + 4. Let y be h(-7). Let g(o) = -o + 1. Let v(w) = 2*w - 10. Let p(i) = y*g(i) - v(i). Let r(a) = 2*a**2. Calculate p(r(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11, -68, -125, -182, -239?\n\"Answer: -57*s + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 + -2. Let d = -8212 - -8207. What is the nearest to -2\/9 in l, d, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*c - 6*h - 1736, 0 = -2*h - 8. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 567.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126398*o + 13*b + 136 = -126401*o, 2*o = b + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lulphcphpuclcppuuphl. Give prob of picking 1 c, 1 h, 1 p, and 1 l.\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/3 - 118*o**3\/3 + 3509*o**2\/3 - 3392*o\/3 = 0. Calculate o.\nAnswer: 0, 1, 53, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -8. Suppose w = k - 38. Calculate the remainder when k is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12658 is divided by 4200?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 5*q**2 - 2*q + 2. Let r be z(4). Let v be -2*(3\/6 - 1). Let f be 2 - (v - (0 - -2)). Solve f*a - 2 = r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 81*f - 3\/140*f**5 + 0*f**2 + 0 - 2\/7*f**4 + 9\/14*f**3. Factor r(s).\nAnswer: -3*s*(s - 1)*(s + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 1 = -5*p + 13, -m - 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkjkjjggkjkuvv. What is prob of sequence jvj?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 - 2*o + 0*o**3 + 0*o)*(o + 5*o + 2*o).\nAnswer: -8*o**4 - 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**4 - 6*k**2 + 6*k**2 + (-3*k - 3*k + 5*k)*(-k + k - 2*k**3).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139758721*l**3*r**3 + 45*l**3*r - 2*l**3 + 109*l**2 - 2*l*r**2 + 2*l - 94*r**2 wrt r.\nAnswer: 838552326*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 - 3*r**4 + 4*r**4)*(0*r + 4*r - 6*r) + 13*r**5 + 43*r**4 - 43*r**4.\nAnswer: 15*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.8025 to 2 decimal places.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 58*y**2 - 156*y + 10. Let s be l(-25). What is the greatest common divisor of s and 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8*f + 1. Let w be i(2). Which is greater: w or -16?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2025)\/(-2))\/5 + 15\/10. What is the common denominator of 25\/3 and (-12733)\/z*2\/(-49)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f - 45*f - 3*f + (5 - 5 - 2)*(f + 2 - 2) - 1 + 1 + f + (-1 + 0 + 0)*(f + 0*f + 0*f) + 5*f - f + 0*f in the form r + o*f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*n - 51*n = 2*o + 166, 0 = 4*n - 3*o - 639. Let j be (n\/12 + -17)*10\/8. Suppose -2*w + 2 = -4*w. Sort 2, j, 3, w in decreasing order.\nAnswer: 3, 2, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-2 + -9 - (-2 - 7))) + 40.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -2*h + 7*h. Suppose -5*x - 250 = -5*i, -2*i + 78 = -x - 20. What is the remainder when ((-2)\/4)\/((-2)\/i) is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -25*x + 29. Let s be q(-5). Let b = 159 - s. Solve 5*l + 9 = 4*j, -3*l - b*j - 19 = -4*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**5 - 6638*r**4 + 207*r - 8.\nAnswer: 40*r**3 - 79656*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 10:28 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) -1533 (c) 3 (d) -3 (e) 0.3 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 23*l - 2*l + 7*l + 2. Let j be 24\/9 - (-2)\/(-3). Let q(n) = 0*n**2 - j*n**2 - 58 + 58. What is q(i(u))?\nAnswer: -1568*u**2 - 224*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 21*c**2 - 8. Let h(v) = 5*v**2 - 2. Let i be 3311\/473 - (0 - 3*-3). Calculate i*n(a) + 9*h(a).\nAnswer: 3*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285.58 + 47243132.\nAnswer: 47242846.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3 - y - 2 + y**2 + 3 + 4. Suppose 0 = -5*q + 2*w - 2, -1 = -w - 0. Let f be n(q). Which is the biggest value? (a) f (b) -0.1 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2215 = -3*p - 5*k, 5*k - 276 = -5*p + 3399. What is the highest common divisor of p and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1343, -1342, -1341, -1340, -1339?\nAnswer: -1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/6 - 2123*n**3\/3 + 1617863*n**2\/2 - 367767290*n\/3 + 15004316450\/3 = 0.\nAnswer: 85, 2038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14695661, 29391321, 44086981, 58782641, 73478301, 88173961?\nAnswer: 102869621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2859?\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5188 - 1502. List the prime factors of t.\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((38\/(-114))\/(2\/6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5219996 is divided by 3058?\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*r**2 - 172*r**2 - 91*r**2)*(-6*r + 3*r**2 - 7*r**2 - 6*r**2) as v*r**4 + f*r + m*r**3 + l + n*r**2 and give m.\nAnswer: 1818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/20 and -5\/6956?\nAnswer: 34780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 0*z + 6*z)*(39*z**2 + 140*z**2 - 44*z**2)*(0 + 0 + 3*z + (2 - 3 + 0)*(-2 + 2 - z)).\nAnswer: 540*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 - 62*d**2 + 392*d - 3446. What is w(26)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13690196.21 and -4?\nAnswer: 13690192.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 44748.\nAnswer: 44748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 13*s + 14*s - 16 = 0, 4*w = -4*s - 32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 0*p - 5 + 0*p**4 + 12\/5*p**5 - 49\/2*p**2 + 0*p**3. What is the second derivative of k(t) wrt t?\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -1331.4517.\nAnswer: 1336.4517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39555067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/70 and -33\/8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2)*1*10. Solve -3*h - 2*h = q*f, 0 = -5*f - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/45*5\/(10\/(-12)). Let v be (-40)\/160 + (-49)\/z. Solve -9*j = -6*j - v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -3. Let r(q) = -4*q - 23. Let s(j) = -76*j - 460. Let c(p) = 80*r(p) - 4*s(p). Determine c(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72081\/115 - 3142\/5. What is the common denominator of f and -3\/4?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -45075076?\nAnswer: 45075073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (489\/(-163))\/((-9)\/(-621)*30\/5*3)\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqq when three letters picked without replacement from ddqqqqqqqqq?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-166)\/(-18) + (-20)\/90 + -4. Is 4 a factor of ((-20)\/22)\/o - (-1590)\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + -1 + -1 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 32515 = i, 4*i - i - 97445 = 5*q. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 5*p**2 + 2*p + 1. Let h be x(4). Let l = h - -7. Suppose l = 2*v - 4*v + 2. Solve -i = -v - 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22057800 rounded to the nearest 100000?\nAnswer: -22100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**6\/360 + 3*a**5\/40 - a**4\/3 - a**3 + 10. Let m(g) be the third derivative of x(g). What is m(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.0418211 months to millennia.\nAnswer: 0.000086818425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 176 = -4*w. Let f = w + 63. Let k = 97 - f. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64622 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x**3 + 66*x**2 - x - 6. Determine s(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 6684?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 5) to base 11.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 67*c + 35 + 126 - 105 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 4*t**2 - 5*t. Let d be q(-5). Suppose d = -2*j - 10 + 14. Suppose 2*n = 4*g + 46, 102 = 8*n - 4*n + j*g. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21141335 is divided by 56.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (-5 + 11 - 99) - (2277 - 2280).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 equal to 181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*a + 45*a**3 - 185*a**3 - a**4 + 38*a**3 + 54*a**3 + 47*a**3 + 19*a**2 in the form z + h*a**3 + m*a**4 + i*a**2 + o*a and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1363 = 458*s - 5067 - 5914 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 796438282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.408184828 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34100 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 34 = 32. Which is the biggest value? (a) -2\/3 (b) -2\/7 (c) o (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3000) - (sqrt(3000) + -1*sqrt(3000) + sqrt(3000))*2)*5)\/(sqrt(18)\/sqrt(3)*5 - (sqrt(294) + -4*sqrt(294))).\nAnswer: -25*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000516903307 to seven decimal places.\nAnswer: 0.0005169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 n, and 1 q when four letters picked without replacement from hpnnnhnqqqyy?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3020.451ns in minutes?\nAnswer: 0.00000005034085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-26)\/39)\/(1 + 68\/(-60)). Suppose -q + 5 = r*v - 8, -v - 4*q = 5. Solve v*n = m - 2*m, -5*n - 8 = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.028 - -0.02772. What is x rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 21*q = 6. Suppose -3*w - q*w + 40 = 5*s, -4*s - 3*w + 32 = 0. Let v be (s\/6)\/(8\/36). Calculate the highest common factor of 24 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -918 times -6.34?\nAnswer: 5820.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -13*t**3 - 66*t**2 + t + 4. Determine j(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (104\/20)\/((-1)\/(-5))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/(-1610)*((-50)\/15)\/2.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 877540.5599642 - 877541. Let l = s - -0.44. Round l to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 - o + 4. Let k be t(5). Let g = -30 - k. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 2*p = 2*w + 17, w = -5*p + 29. Let g(v) = 4*v - 6. Is 12 a factor of g(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -935958 >= -935957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.93 - -0.07. Let r = b - 16. Let x = 2.1 + r. Is x <= 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.4 - -6. Let d = 145 + -148. Which is the nearest to -0.1? (a) 2 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 20*q**2 + 18*q - 9. Let r be k(-19). Suppose r*d - 33 = 7*d. Suppose 0*f = -5*f + 5. Calculate the highest common divisor of f and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40437*v**5 + 59*v**2 - 40458*v**5 + 29*v**4 - 56*v**2)*(2 - 1 - 3) - 2*v + v**5 + 2*v.\nAnswer: 43*v**5 - 58*v**4 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561386929.\nAnswer: 13309, 42181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 8.1, -3\/5, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 8. Let t = y + 24. Let o = t - 21.0052. What is o rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 * -3408082\nAnswer: -715697.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - u**2 - 6241*u - 6238. What is l(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1010*o + 2*r - 1064 = 1009*o, -10 = 5*r. What is the remainder when o is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2 + q. Let m(o) = -14*o**2 + 4*o - 809. What is -m(p) + 4*s(p)?\nAnswer: 2*p**2 + 809","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3242610, -6484810, -9727014, -12969222, -16211434, -19453650?\n\"Answer: -2*d**2 - 3242194*d - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**3 - 8*b**4 - 11*b**3 + 5*b**3 + 7*b**2 wrt b?\nAnswer: -192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 30, -7, 2 in ascending order.\nAnswer: -7, 2, 4, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.4 and -14209149.\nAnswer: 34101957.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 159 + 35 = 4*t, 2*t - 5*c + 56 = 0. Let b = t - -87. What is the remainder when b is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -799739 = -47*i - 2752025. Does 8 divide i\/(-49) + 6\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.4 + -2.1. Let t = j - 0.3. Suppose 16 = -4*a + 3*k, 3*a = -4*k - 0 - 12. Which is bigger: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 11, 0, -4, 94 in descending order.\nAnswer: 94, 11, 0, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8552*a**3 - 8557*a**3 + 8*a + 17122*a**3 + 506 wrt a.\nAnswer: 39*a**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = 133 - 198. Find the second derivative of -38*o**3 - 10 - o - 5 + 16*o**3 + b*o**4 + 24*o**3 wrt o.\nAnswer: 60*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.193 - 1.617. Let w = a + 1.81091. Round w to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 3. Let s be d(-5). Suppose s*g + 0 = 8. Suppose g*r + 4*y + y - 153 = 0, -4*y + 189 = 5*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 0*j**2 - 5*j + 4\/3*j**3 - 5\/6*j**4 + 0. What is the second derivative of b(z) wrt z?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*(-2*sqrt(833) + 1 - 4*(sqrt(833) - (sqrt(833) - sqrt(833)*-1))))**2*-2.\nAnswer: -240002 - 2352*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 8 + 2. Let j = -12 + 12. Suppose -3*g - d + 18 = j, -21 + c = -5*d. What is the remainder when 8 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/242*11*(-12)\/(-99).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 192\/48 + (-1 - 2). Let c be s\/(-3) - 533\/(-123). Let k(f) = f**3 - 4*f**2 - 3*f + 1. Calculate k(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*c + 2. Solve j - c = 5*d - 17, -d - 2*j = -14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15769 + 12571. What is the ten thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 - 1 - ((-45 - -55 - (13 - 5)) + 8)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*d**3 + 3 - 4 + 21*d**3 - 4 - 2*d - 27*d**3 to the form u*d + o + v*d**2 + r*d**3 and give r.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 11 + (-3 - 7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110310230 - -112111?\nAnswer: -110132113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 53 = -j, 4*j + 210 - 63 = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssqssqsssqssss. What is prob of sequence ss?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 4*v + 4*f, 3*v = 10*f - 5*f + 71. Solve 10*h = v*h - 36 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91874416?\nAnswer: 2, 257, 22343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence puuu when four letters picked without replacement from uupuuxuuxxuxxx?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 164 = 5*q, 0*j = -4*q - j - 148. Let w be (-4 - (-112)\/30)*243\/24. Let u = -19\/5 + w. Calculate the common denominator of u and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 101435\nAnswer: 1\/20287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -8*u + 2\/21*u**7 - 1\/5*u**5 + 0*u**2 + 0*u**3 + 0 - 1\/3*u**4 + 2\/15*u**6. Solve d(a) = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 11889*b - 11895. What is h(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 174660 divided by -15\nAnswer: -11644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59.8174 and 3.6.\nAnswer: 215.34264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*d**3 + 31826*d**2 - 307806*d?\nAnswer: 144*d + 63652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 53 + 5 = 0. Let w be 9\/i + (-61)\/(-4). Let s(q) = -260*q + 4. Let k be s(0). Sort w, -3, 5, k in descending order.\nAnswer: w, 5, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 5*l + 22, -2*r - 25*l = -20*l - 24 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -501\nAnswer: -1\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2390)\/(-15) - (-10)\/6. Suppose 162*m + 112 + 20*m**2 + 287*m - s*m = 0. What is m?\nAnswer: -14, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/6)\/((-25)\/75).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-107)\/214)\/(-9 - (-22 - -11)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 + 22*b + 63. List the prime factors of k(10).\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 8:00 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 28*c + 1706. Give j(-56).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (4 - 6) - 6) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n - n**3 + 0*n**3 - 128*n**2 + 253*n**2 + 3 + 0*n - 128*n**2. Give u(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 576, 2263, 5062, 8955, 13924, 19951, 27018?\n\"Answer: -3*n**3 + 574*n**2 - 14*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2))\/(8\/2688*-4). Suppose -u = -5*s - 13 - p, -2*s - 3*u - 39 = 0. Let y be (-4)\/(-3) - 8\/s. Solve -5*m = -v - 4*v + 35, y*v - 18 = 3*m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 11*c - 12. Let f be a(8). Suppose 4*k + 5*u = -f, -5*u - 5 = 3*k + 9. List the prime factors of (k\/(-4))\/(7\/(-420)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 179684 - 179684.097839. Let w = -0.0983 - a. What is w rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -609, -1054, -1489, -1914, -2329, -2734?\n\"Answer: 5*t**2 - 460*t - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - b + 39. Let j(a) = 5*a**2 - 2*a + 79. Determine -3*j(h) + 5*y(h).\nAnswer: -5*h**2 + h - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5692?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/42 + 100\/(-3). Let k = 24 - w. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 - 2*d**4 + d**5 - 12*d**4 + (1 + d - 1)*(-1 + 2 - 2)*(-43*d**4 - 75 + 75).\nAnswer: 44*d**5 - 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4413.\nAnswer: 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1717 - 2?\nAnswer: -1719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-195954)\/50 + ((-20)\/(-210) - (-16)\/(-1050)). Which is smaller: -3920 or s?\nAnswer: -3920","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8556 + -5.24.\nAnswer: -8561.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 13. Let w be x(0). Let a(g) = -g**3 + 9*g**2 - 2*g + 9. Let r be a(9). Which is bigger: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -28. Suppose 183 - 43 = r*j. Calculate the remainder when 69 is divided by j.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = y + 11, -15 = 3*h - 0*h. Let o be -2*25*1\/1. Let c = 351\/7 + o. Is y smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 16*t**2 - 10*t - 40. What is the units digit of y(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027779 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/7 - 7684*d**2\/7 - 15374*d\/7 - 7688\/7.\nAnswer: 2*(d - 3844)*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 2 = 750. Let r = 82 + 384. Calculate the remainder when r is divided by z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6030 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -13. Suppose 5*a + 3*o - 19 = 0, o + 4*o = 3*a + 9. Suppose 3*t = -5*l - 12, 4*l + 4*t = 8*l - 16. Sort l, a, q in decreasing order.\nAnswer: q, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5730 is divided by 357?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/4, 138645, -0.2, 31.\nAnswer: -11\/4, -0.2, 31, 138645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 5. Suppose 3*a - b - 11 = 0, 3*a + 0 + 1 = 4*b. Let m be n(a). Suppose 11*r + 1124 = 1157. Solve m*x + x - y = -r, 25 = 5*y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -1.49?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 g when three letters picked without replacement from {j: 5, c: 3, g: 7, q: 1}?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 4 (c) 16394 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70085775 is divided by 128.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 141*a**3*m**2 + 12*a**2*m + a + 12*m**2 - 131 with respect to a.\nAnswer: 423*a**2*m**2 + 24*a*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/6*(0 + -2). Suppose z*w - 4*q - q + 6 = 0, -w - 12 = -5*q. Suppose b + 9 + 5 = w*o, b + 9 = 2*o. Solve y + 0 + b = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 937499*w - 8. Let b = 4 - 12. Let m be n(b). Round m to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232693.\nAnswer: 19, 37, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*x**2 + 122*x**2 + 121*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 18 = -3*n, 5*n - 8*n + 5*j = 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14944265.\nAnswer: 5, 7, 181, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d = 9. Let a be 1662\/d + (-6)\/9. What is the tens digit of 2\/(-9) + a\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83000 divided by 166\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/8 + 7)\/((-18)\/(-3)). Sort 0.5, d, 2\/21 in decreasing order.\nAnswer: d, 0.5, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 1:28 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19137, 37824, 56065, 73860, 91209?\nAnswer: 108112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -2*f. Suppose -4*k - f*d - 16 = -0, 3*k + 4*d = -19. Is 12*3 - (2 + k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3*9\/(-10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3444299, -13777181, -30998649, -55108703?\nAnswer: -86107343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -1\/2*s**2 - 2 + s. What is the first derivative of n(j) wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 1 + 3*f - 3*f)*(-21*f + 54*f + 49*f).\nAnswer: 82*f**2 - 82*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a + 7. Suppose -2*l + 8*l = 168. Suppose 3*g = -5*v + l, -3*v + g - 6 = -4*v. Let z(f) = f + 4. Let m(n) = v*z(n) - 3*t(n). Determine m(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k**3 + 10919522*k - 10919522*k.\nAnswer: 17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a century in decades?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**4\/12 + 5*n**3\/6 + 2*n**2 + 189*n. Determine q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4778.9 (b) -2\/5 (c) -3\/22 (d) 0.5 (e) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 9. Let d be n(9). Factor -2*r + 0*r**4 + d*r**4 + 4*r**5 + 6*r - 8*r**3.\nAnswer: 4*r*(r - 1)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2667 + -8003\/3. What is the nearest to b in -0.33, -15, 5?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x + 3. Let u(m) = 2*m**2 - 27*m + 17. Let j be u(13). Suppose -w - 20 = -j*a, -15*w = a - 14*w - 10. What is r(a)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0, -1, 1, -5 in decreasing order.\nAnswer: 12, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/7 + -19\/35. Let u = -10.4 + 21.6. Let r = u - 11. What is the smallest value in y, r, 2\/15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220970914.\nAnswer: 2, 31, 61, 58427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14245132 (base 6) to base 7.\nAnswer: -4103000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 302, 1068, 2160, 3428, 4722, 5892, 6788, 7260?\n\"Answer: -25*s**3 + 313*s**2 + 2*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9565 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6485 or -2719?\nAnswer: -2719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 6. Let l(j) = 3*j + 12. Let w(n) = -2*l(n) - 5*t(n). Let u be w(5). Let q(s) = s**2 + 2*s - 4*s + u + 3*s. Give q(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7122204.\nAnswer: 2, 3, 37, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4018680 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three tenths of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -29*a**4 - 225*a**3 + 5742*a**2 - 32430*a + 44366. Let s(q) = 5*q**4 + 37*q**3 - 957*q**2 + 5405*q - 7394. Let y(u) = -6*f(u) - 35*s(u). Factor y(x).\nAnswer: -(x - 23)**2*(x - 7)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 33*s**3 + 15 + (3 - 1 + 0)*(-s**3 - s**2 + s**2) to the form v*s**3 + r*s**2 + p + z*s and give v.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18 + 0.38. Suppose 2 - 11 = -2*u + 5*q, -u + 4 = -2*q. Suppose u*i = 5*n - 9, 3*n + i = 4*n. Which is the closest to 1? (a) f (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/4)\/(33\/(-44)). Suppose 0 = -2*h - 19 + 5. Let v be (-4)\/(-3 - 31\/h). Is v smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-22 - (6 - (14 - -1)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + 69. Let v = 126 - q. Is v a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 1 + 7. Let f = -1543\/900 + 43\/36. Let g = -3\/25 - f. Which is the nearest to g? (a) 5 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2218, 12, -5, 5 in descending order.\nAnswer: 2218, 12, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011100110000011011110 (base 2) in base 7?\nAnswer: 115325450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(55)\/(-6*(sqrt(11) - (sqrt(11)*-2 + sqrt(11)))) + (sqrt(405)*-1 + sqrt(5) - ((sqrt(125) - sqrt(5)) + 0))))**2.\nAnswer: 105125\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 4:21 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002791803 to 7 dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*f - 63*f - 68. Let u(m) = 4*m**2 + 2*m. Let g be u(8). Calculate the greatest common divisor of f and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167199900 is divided by 38650.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 - z**3 - z**3)*((3 - 3 + 3*z)*(-z - 2*z + 4*z) - z**2 + 0*z**2 + 5*z**2 - 2*z).\nAnswer: -14*z**5 + 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53\/6549 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -158*a**3 - 343985*a**2*c**2 + 7*a*c**2 + 889*a*c + 5*a - c**2 + 5*c + 5 wrt a.\nAnswer: -948*a - 687970*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*h - 94, h + 6 = -h. Suppose 4*n - 2 - k = 0. What is the remainder when n is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 348775\/2 - 174386. Determine v, given that d*v**2 - 9\/4*v**3 + 0 + 4*v + 1\/4*v**4 = 0.\nAnswer: -1, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1448*v - 1434*v - 147720 + 23794 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 8*l - 5. Let k be i(-9). Suppose -9*s + 15 = -k*s. Suppose -s*f + f = -82. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -9 + 7 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.3548 + -3.521. What is w rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/117 and -67\/2632227?\nAnswer: 7896681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*a + 2 = 0, 1 = -3*r + 2*r - 3*a. Suppose -2*i + 4*j = 12, r*i - 4*j + 36 = -2*i. Let d = 15 + i. Solve d*b + 1 = 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**2 - 6*j - 11. Let f(p) = 10*p + 4*p**2 + 0*p**2 + 10 - 4*p. Let u(w) = 3*c(w) + 4*f(w). What is the remainder when 4 is divided by u(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 5*q**2 + 1 + (7*q + 2 - 2)*(0*q + q + 0*q) + 8*q**2 + 0*q**2 - 4*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 9*r**7\/140 + 3*r**6\/20 - r**5\/20 - r**4\/4 + r**3\/4 + 9*r**2. Find k such that z(k) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 144739 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39, -122, -267, -480, -767, -1134, -1587?\n\"Answer: -g**3 - 25*g**2 - g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -44*s + 3. Let o be f(-1). Let t = o - 9. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 1408.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028072423 to 4 decimal places.\nAnswer: -0.0281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 196\/5, -0.1, 1\/7, -5.\nAnswer: -5, -1\/6, -0.1, 1\/7, 196\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*-1*(sqrt(68)\/sqrt(4) + -4)*-5*5*-4.\nAnswer: -4800 + 1200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1366, 9308, -10 in decreasing order.\nAnswer: 9308, -10, -1366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4)*o)**(15\/4))**(-37)\/((o*o*o**(-13)*o)\/(o\/((o**(-4\/9)*o)\/o)))**20 assuming o is positive.\nAnswer: o**(23225\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 2. Let s be m(-1). Solve 0 = 5*k - s - 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(468)*-2.\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 365976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -7. Let f(s) be the first derivative of -s**3\/3 + 3*s**2\/2 + 3*s + 867. Let w(b) = -4*b**2 + 10*b + 10. What is m*f(l) + 2*w(l)?\nAnswer: -l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 285 and 2000\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, u: 1, n: 2, e: 1}. What is prob of picking 1 e and 1 n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*d - 20 = 0, d + d - 8 = -5*x. Suppose 5*b = 2*l + 28, 3*l - 3*b + 37 = 2*b. Put 4, l, x in ascending order.\nAnswer: l, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33902200 rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146744.\nAnswer: 2, 13, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6368915?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -244*u**2 - 6*u - 4971 with respect to u.\nAnswer: -488*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 18, -3, -15, 10, 27 in descending order.\nAnswer: 27, 18, 10, 4, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times -0.19\nAnswer: -0.0171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, q: 13}. Give prob of sequence jqqq.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/18 and -71\/5208.\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**2\/5 - 50672*y\/5 + 867204 = 0?\nAnswer: -12753, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -b + 1, 2*b - 5*o = -2*b - 11. Is 9\/((-6136)\/(-1528) + b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 1639 + 545 = 0. Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.15 or 220?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -14*y**3 - 5*y**2 + 5*y - 5. Let d(h) = 21*h**3 + 7*h**2 - 7*h + 7. Give 5*d(v) + 7*x(v).\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142 - -118. Suppose 3*t - 3*k + 174 = -2*t, 40 = -t - 2*k. Let l = w - t. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 248 + -232. Let o = -2.5 - -6.5. What is the closest to l in -0.4, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 854, 801, 748, 695, 642, 589?\n\"Answer: -53*v + 907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s = 8*s + 55. Suppose s*a - 6*a = 2*a. Put 10, 5, a, 4 in ascending order.\nAnswer: a, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 1. Suppose 0 = -2*y + 4 - 6. Let c(i) = -3*i**2 + 5*i - 7. Let m(d) = y*c(d) + 5*u(d). Find the first derivative of m(j) wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = g + 7. Let r = g - 3. Let o(s) = -14*s - 2. What is the remainder when o(-2) is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1.1, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (621\/18)\/(-3 + 0)*2. Suppose 5*z - 112 = 183. Let v = z + i. Calculate the highest common divisor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**5 + 11496*c**4 + 45951*c**3 + 57426*c**2 + 22968*c = 0.\nAnswer: -3828, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 + 41. Let l(y) = 4*y**3 - 11*y - 9. Let d(u) = -5*u**3 - u**2 + 12*u + 10. Let p be -1 - 4\/1*1. Let j(c) = p*d(c) - 6*l(c). Calculate j(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 11:26 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3306.\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.026 and 0.05.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 33*i**2. Let c be m(1). Let b(y) = -y + 2. Let f be b(5). Let h(g) = -g**2 - 3*g + 3. Let j be h(f). What is the highest common divisor of c and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e483b + -45?\nAnswer: -e4880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -31*r**2 - 3*r + 3. Let h(k) = 154*k**2 + 14*k - 14. Let p be ((-9)\/18)\/((-14)\/(-12) - 1). Calculate p*h(t) - 14*x(t).\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -15561472 (base 8) to base 11\nAnswer: -2037624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 240153 - 0.348\nAnswer: 240152.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7693650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*w + w + 18 = 0, 2*w + 22 = p. Suppose 0 = i - p - 12. Let y = -28 + i. Solve y - 2 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -199, -395, -591?\n\"Answer: -196*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2832 divided by -6?\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 623402 - 1680946 = -p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**2 + 169 - 2*i**4 - 4*i**2 + i - 31022*i**3 + 31020*i**3 - 2*i to the form k*i**2 + z*i**4 + v*i**3 + r + q*i and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -447650.117013 and 4.\nAnswer: -447646.117013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1698468?\nAnswer: 2, 3, 141539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 40*q + 389. What is d(9)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 26*n**3 + 6*n**2 + 3*n - 5. Does 16 divide o(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104)\/520)\/((-2)\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5822842 minus -0.3?\nAnswer: -5822841.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*k - 8 = 30, 2*c - 3*k = -17. Let v = c - -16. Let b = 9 - v. Are 6\/13 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + p = -2, -3*p + 3 = -3. Solve v + 0*v = -5*q + 6, -t*v - 2*q = 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15107860 (base 9) to base 2.\nAnswer: 11100101000010010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1377, 1386, 1397, 1410, 1425, 1442, 1461?\nAnswer: 1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52887, -52927, -52965, -53001, -53035, -53067, -53097?\nAnswer: -53125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**2 + 11085*q - 5552990 = 0.\nAnswer: -2638, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, h: 2}. What is prob of sequence hzzz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 13.\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4) + (6318\/(-104))\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjojoojjloopjjjjo. Give prob of sequence jj.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193.9 + 9.\nAnswer: 202.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3506 + 24748 = -197*l + 1068 for l.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301773 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = -23*c + 41. Suppose -t + 4 = -4*t + 5*m, -t = -m - 2. Let n = t + c. Solve n*p + 3*b + 19 = 0, 2*b + 29 - 7 = -5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - (2 - (2 + -3)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -9*j**5\/20 - j**4\/12 + j**3\/6 + j. Let n be z(1). Let g be (12\/(-40))\/(n\/(-4)). Are 0 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.7, -0.207, 3\/8, 2 in decreasing order.\nAnswer: 2, 3\/8, -0.207, -0.7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 208 divided by -1\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 - 127*r**2 + 121*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**3\/3 + 27728*m**2\/3 + 3121012*m\/3 + 42821440\/3 = 0. Calculate m.\nAnswer: -95, -16, 7043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87690?\nAnswer: 2, 3, 5, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (-99 + (22 - -114)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (34 - 1)*(8 + 161\/(-21))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 11:00 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-451)\/(-1435)*(-190)\/8 + (7 - 1) and -19\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*n**3 - 13*n**2 + 202*n**3 + 63*n**3 - 32*n**2 - 3.\nAnswer: 353*n**3 - 45*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 179, 270, 361?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10 + 6 - 13*x**2 + 5*x**2 + 54308*x - 54343*x. Let p(k) = 4*k**2 + 17*k + 2. What is 9*p(h) + 4*v(h)?\nAnswer: 4*h**2 + 13*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*t + 635*t = 313*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**2 - 5*h**2 - 7*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 5 - 5 + (-2*v + 1 - 1)*(v + 1 - 1) + (3 + 1 - 2)*(0*v + 0*v + 2*v**2) - 3636*v**2 + 10*v**2 + 332*v**2 as g + x*v**2 + t*v and give x.\nAnswer: -3294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342331*y - 339636*y + 1 + 0 - 1.\nAnswer: 2695*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 22*f + 4. List the prime factors of r(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (6 - -8)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*t = -18, -t - 7 = -5*y + 16. Let o = 2 + -2. What is the second biggest value in -3, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 18. Let p be h(13). What is the derivative of 2 - 3*k**3 - p - 2 wrt k?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -1104 + 3694. Find the common denominator of (15\/100)\/(24\/r) and 7\/26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255499965 a multiple of 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00407 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 598314, 598326, 598366, 598434, 598530, 598654, 598806?\n\"Answer: 14*j**2 - 30*j + 598330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 142053?\nAnswer: 142055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 300296192 to the power of 1\/2, to the nearest integer?\nAnswer: 17329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 142 + (-122551)\/858 - ((-1)\/(1\/(-1)) - 1)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1536\/7?\nAnswer: -1536\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -1.328.\nAnswer: 5.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 1893144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from zqmmgnog.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -4. Let g = 13 - v. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 95000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 26 = -1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**3 - 207*h**2 + 210*h = 0 for h.\nAnswer: -70, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5606 - 5608. Put l, -4, -35, 2, -5 in decreasing order.\nAnswer: 2, l, -4, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*a - 15050. Find the second derivative of -a + 2150 + 51*d**3 + 70*d wrt d.\nAnswer: 306*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 858, 1095, 1482, 2013, 2682, 3483?\nAnswer: 4410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/6 (b) -2\/13 (c) -5\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**7\/525 + n**6\/300 + n**5\/75 + n**2. Factor f(z).\nAnswer: -2*z**2*(z - 2)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/(-6) + (-135)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -747, -1914, -3081?\n\"Answer: -1167*b + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -3, -1, -0.3, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -13*f - 5. Let v(w) be the third derivative of w**4\/4 + w**3\/3 - 20*w**2. Determine 3*d(n) + 7*v(n).\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 40002?\nAnswer: 280014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zznsznzzznzns. Give prob of picking 2 s and 1 z.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/25 of a millimeter?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((0 + sqrt(11))*4 + 4 - ((sqrt(99) + sqrt(99)*-1 - sqrt(99))*-2)\/sqrt(9))**2 + 2).\nAnswer: 16*sqrt(11) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/11, 0, 0.2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 11, 9, 3, -7, -21, -39?\n\"Answer: -2*o**2 + 8*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 12. Suppose -31 = 9*m + 50. Let k be z(m). Suppose k*b + 3*p + 9 = 0, 2*b + 3*b - p = -9. Which is bigger: b or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156700 a multiple of 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896 is divided by 181.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129 or -0.017?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.206 and -548.97.\nAnswer: 113.08782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3323 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 267186 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 15*u**2 + 5*u - 1. Let w(s) = 29*s**2 + 11*s - 2. What is -7*t(i) + 3*w(i)?\nAnswer: -18*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**6\/120 - p**4\/6 + p**2\/2 + 1. Let t(w) be the second derivative of d(w). Is t(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2145 = 4*l - 9025, l + 5*g = 1709. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -671\/2 or 35\/8?\nAnswer: -671\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (320\/48)\/(2*10\/(-60))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 30*b**2 + 106*b - 42. Calculate q(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.09 + -0.51. Let g = -0.4 + -0.2. Let y = z - g. Which is the third smallest value? (a) y (b) -2\/7 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 135 = -5*m, -2*m - 2*a = 32 + 24. Let z = m + 47. What is the remainder when z is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z**2 + 13560 - 6779 - 6781.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*r**2 + 10*r**2 + 5*r - 5*r.\nAnswer: 251*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 564253287 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -281 - -11. Let h = u + 657. Let r = -226 + h. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8*-1)\/(((-783)\/(-29))\/108)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 18. Suppose 3*h + 14 = h. Let j = h + b. Calculate the highest common factor of j and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2091105 and 837?\nAnswer: 6273315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, p: 3, j: 2}. What is prob of picking 2 j and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 85*i**2. Let s(o) = -14*o**2 - 80*o + 30. Let v(k) = -k**2 - 8*k + 3. Let n(h) = 3*s(h) - 30*v(h). What is n(g(d))?\nAnswer: -86700*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) -8 (c) -5 (d) 0.432 (e) -2\/17 (f) -4\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005576 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*p + 4, -2*p + 2 = -2. What is the remainder when w is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(-1 + 0 + 0)*(-3*t**5 + 3*t**5 - t**5 + (-4*t**3 - 2*t**5 + 4*t**3)*(2 - 1 - 6) + 2*t**5 + 2*t**3 - 2*t**3).\nAnswer: 22*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 64. Let r = -34.098 + s. Let o = r - -0.097898. Round o to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11\/3)\/((-5)\/(-3)*(-29)\/(-1305)). What is the highest common factor of l and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10 = 12. Let o(d) = d**2 + 10*d - 10. Let u be o(t). Let m = -3 - -2. Which is smaller: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 642 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -16. Let n(x) = x - 2. Give n(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*f + 8 = -12, -2*v = -2*f - 24. Let a(b) = b**2 - 9*b. Calculate a(v).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.918826 - -32.987556. Let l = 6.93297 + h. Let r = l + -35. Round r to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*d + 2*d. Which is smaller: -1\/63 or d?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 148\/8 - 2\/(-4). Let p = h + -11. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -531, -1240, -2279, -3672?\nAnswer: -5443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -189 - -202. Let q = 0.26 + 0.04. Put q, -0.2, h in decreasing order.\nAnswer: h, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 48, 3\/8, 0.04, -23\/3, 0.7?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*v + 3*d, -16 = -2*v + 7*d - 3*d. Suppose 4*m = v*m. Let p = -5 - -2. Which is the nearest to 1? (a) p (b) 2\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 2*b = -30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h - 7190 = -35300. Let m = -504 - h. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w + 88 + 90 - 269 + 91.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4387 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -316*m + 314*m + 264795*m**2 - 264781*m**2. Let d(b) = -b**2 + b - 1. What is -2*d(i) - k(i)?\nAnswer: -12*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 412 and 2.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w - 645. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4315.523g to micrograms.\nAnswer: 4315523000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 minus -0.7682529221?\nAnswer: 0.1682529221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1701)\/189*(3 + 115\/(-30)).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78 + 2.00201414.\nAnswer: -75.99798586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/336? (a) 2\/15 (b) -0.6 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 2*t**6\/3 + 28*t**5\/5 - t**4 - 28*t**3\/3 - 33. Find l, given that w(l) = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 633081483 to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anma when four letters picked without replacement from {p: 3, m: 3, x: 2, n: 2, a: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8*j. Let g(s) = 44*s. Suppose -76 = 3*y - 64. Let m be 6*((-224)\/(-12))\/y. What is m*x(i) + 5*g(i)?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 607\/20 in -3, -7\/69, 0.5, 2, -0.3, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -52. Sort w, 0.09, -5 in descending order.\nAnswer: 0.09, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-3\/8)*u)**42\/(u\/u**(1\/10)*u*u\/(u*u**9\/u*u)*u))**(3\/14) assuming u is positive.\nAnswer: u**(4461\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/9 - 13346*i**2\/9 - 106864*i\/9 - 71264\/3 = 0 for i.\nAnswer: -4, 6681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-54)\/28 - -2)\/4. Is b <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + (-9 - -3) - -10) + -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, d: 2, b: 1, e: 2, r: 1, n: 2}. What is prob of picking 1 e, 1 r, and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -30 + 37. Let w(b) = b**2 - 8*b + 2. Give w(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m**2 + 61*m - 154. Let y(k) = -k**2 + 12*k - 31. Let z(b) = -2*n(b) + 11*y(b). What is the units digit of z(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfvlvrc. Give prob of picking 1 l, 1 f, 1 r, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17218680?\nAnswer: 2, 3, 5, 143489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**5 - 295*v**4 - 2035*v**3 + 5495*v**2 + 2030*v - 5200 = 0?\nAnswer: -8, -1, 1, 2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*x - 156*x + 108*x - 233*x - 314*x as i*x + n and give i.\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64153583 is divided by 121.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*457.\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 11.2. Let j = -16 + r. What is the nearest to 1 in -0.5, j, -3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 5*i - 2. Let q(m) = 2*m**2 + 4 - 1 - 6 + 7*m. Let j be (0 - -1)*35\/5. Let d(k) = j*h(k) - 5*q(k). What is the derivative of d(f) wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/(-3))\/4*(-18)\/(-12). Let a be 2\/(-4)*n*-4. Find the second derivative of 18*j**4 - a*j - 3*j - 2*j**4 - 3*j wrt j.\nAnswer: 192*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171680 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12526125 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 751289380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.14 (b) 127 (c) 3\/2 (d) -0.3 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*d - 205*d = 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q + 16. Suppose -8*d = -q*d - 12. Let l be d - (-28)\/(-8) - -2. What is the smallest value in l, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (23 + -10 - 5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d**3 - 8981*d**2 + 2563*d - 183 = 0. Calculate d.\nAnswer: 1\/7, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(10) - sqrt(80)\/sqrt(2)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 45*i - 47*i + 14, -2*i + 10 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/6 - 4121*n\/6 + 174466\/3 = 0 for n.\nAnswer: -4204, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 11:16 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27351, -133579, -310625, -558489?\n\"Answer: -35409*j**2 - j + 8059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5649559 is divided by 327.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 360*r**2 - 204*r**2 - 305*r**2 + (4*r - r - r)*(0*r + 0*r - 2*r + (3 - 7 - 7)*(-r + 1 - 1)).\nAnswer: -131*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 142721258 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 111 - 50?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t + 2*i - 350, -5*t - i + 40845 = 40550 for t.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -477 - -1123. Let d = q - 646.0000283. Round d to six dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -7, -8\/17?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, f: 3, u: 1, z: 10}. What is prob of sequence uzff?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42597288119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 + 16)*(-1 - 2 + 1)*(-125 + 65 - 24*d + 62).\nAnswer: 768*d - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*d = -2*d, 2*c - d = 0. Suppose 3*g = 4*w - 9, 2*g + 6 = -2*w + 14. Suppose w*o + 4 - 7 = c. Is o less than 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 - (-3 + 7) - -7 - -7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(4) + (sqrt(4) - -3*sqrt(4)) + sqrt(4))*-2.\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -178 + -6?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 216?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 104.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 + -109.1. Let h = -9.134858 + 10.23486. Let n = o + h. Round n to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 4*c**2 + c - 3. Let n be y(4). Let v(p) = p**2 + 8*p + 10. Let r be v(-5). Put -1, n, r in increasing order.\nAnswer: r, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -777 - 1225 = -22*q. Suppose 1465 - 749 = 4*w. Calculate the remainder when w is divided by q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 6377919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -53620398 * 2\nAnswer: -107240796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -633 = 73*h - 19*h - 363 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*b**3 - 14*b**3 - b**3)*(-22 - 19 + 46)*(1 + 1 + 0) in the form f + n*b**3 + a*b + q*b**2 and give n.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2 - 6*x. Let w(a) = 3*a**2 - 6*a. Let j(c) = 2*b(c) - 3*w(c). Let m(y) = -2*y**2 + 11*y. Give 11*j(v) - 6*m(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25463?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 1)*1 + 9. Suppose 0 = 4*a - v + 6*v - 7, 3*v + l = 2*a. Let p(b) = 2 + 0*b - a*b + 2*b. Determine p(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-36)\/v**39)\/(v**(1\/40)*v**(-24\/5)*v) assuming v is positive.\nAnswer: v**(-2849\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -15*z**3 + 20*z**2 + 20*z - 20. Let m(w) = -w**3 + w**2 + w - 1. Let d = -24 - -4. Calculate d*m(l) + u(l).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -437?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*w - 3*w - 29*w)*(-w**3 + 0 + 0) - 3*w**4 - 3*w**4 - 16*w**4.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3*b + 6 = -2, -p - 5*b = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 24104?\nAnswer: -24100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z**2 + 73*z + 204. Calculate g(-8).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i - 12 = 0, -5*i - 24 = -l. Suppose -10*a = -2*c - 7*a + 27, -4*a = l*c - 24. What is the greatest common factor of c and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-70)\/(-12)))\/((-10)\/(-25))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5290522560 rounded to the nearest one million?\nAnswer: 5291000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 5:54 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4005, -5, -509 in decreasing order.\nAnswer: 4005, -1, -5, -509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7))**(-15)\/(o**4\/(o\/(o**1\/o))) assuming o is positive.\nAnswer: o**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**18\/(j*j**(-6\/23)))\/(j**(12\/5)\/(j*j**(3\/14))) assuming j is positive.\nAnswer: j**(25881\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (0 + 36 + -27).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/7 + -3 + (-682)\/14. Let y = -43 - r. Solve -2*m + y = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3.77, 31, 0, 0.24, -0.4, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14344 is divided by 888?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244070*y**3 - 7*y + 7*y + 244068*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 + 1 - 1 - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 + 968 = 7*i. Calculate the remainder when i is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 + 0*u**3 - 4*u**4 + 2*u**2 - 8 + 0 + 7 as y*u + a*u**2 + i + c*u**3 + z*u**4 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 6*m + 4. Let v be t(-3). Let y(o) = -6*o**3 - 9*o**2 - 5*o. Let i(h) = -9*h**3 - 13*h**2 - 7*h. Determine v*i(c) + 7*y(c).\nAnswer: 3*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.071 + 0.271. Which is the third biggest value? (a) i (b) 5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2832 - 2832 - 60*u**4 + (2*u**2 - 3*u**4 - 14 + 14)*(-2 - 2 + 3).\nAnswer: -57*u**4 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h*z**3 - 4*h*z - 20*z**3 + 56*z**2 wrt z.\nAnswer: -6*h - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (210 + 223 - 376)*(2*v**2 + v**2 - 4*v**2 + (-2*v + 2*v - 2*v)*(-v - v + v)).\nAnswer: 57*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373942143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -8, -23*a - 5396*z - 435 = -5395*z for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 1496 = 92. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 3) to base 11\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002 - 2?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3453 in 0, -3, 1, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 0)*(3*j - 2*j - 1536 + 1734) as i*j + h and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 260\/4 - (1 - 0). Find the common denominator of 130\/56 - (-3)\/12 and (-776)\/p - 1*-1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 412 + -406. Does 61 divide (a\/(-4) - 0)\/(15\/(-14600))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375418 - 375418 + 36*j**2.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from {e: 2, k: 1, p: 1, o: 1, c: 1, w: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 161804.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136798*a - 136798*a - 136792*a + 410394*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millisecond in microseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t - 1. Let s(g) = -2137*g + 1. Determine -2*d(k) + s(k).\nAnswer: -2129*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 41 + 52*t**3.\nAnswer: 52*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - 4)\/((-1)\/15)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125 + -183. Let f = 57 + u. Which is the nearest to f? (a) 4 (b) -0.2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259.674 kilograms in milligrams?\nAnswer: 259674000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14982\/(-2270) - ((-11)\/10 - 8\/(-16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -11, 2, 31, 82, 161, 274?\n\"Answer: t**3 - t**2 - t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**3 + 7*t**2 - 6. Let k(r) = 13*r**3 + 19*r**2 - r - 17. Calculate 3*k(q) - 8*o(q).\nAnswer: -q**3 + q**2 - 3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 9*u**2 + 104*u + 782. Let w be o(-7). Sort -5, 3, 0, -1, w in descending order.\nAnswer: w, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**3 - 7. Let q(d) = d**3 - 3. Let k(w) = -5*w + 2 + 9 + 4*w. Let l be k(8). Suppose -14 = -2*h + 4*h. Give h*q(x) + l*t(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -471, 1 in increasing order.\nAnswer: -471, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2f (base 16) to base 5.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504 is divided by 237?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -75*h**4\/4 + 530*h**3 - 1827*h**2\/2 + 540*h - 232. Factor w(r).\nAnswer: -3*(r - 20)*(5*r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + m + 4. Let t = -82 + 80. Let c be g(t). Solve 1 = h + a, 3*a = -2*a + c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3577 - 1310. Let r = d - 1089. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c - 4*c + 4*c + 7*c to q*c + u and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-6)*(-213537)\/16748*(-32)\/(-10)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 10:35 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + -39 + (12 - 24) + 24?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-36)*a*a*a**(-6\/13) assuming a is positive.\nAnswer: a**(-435\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (25\/(-15)*3 - -22)*(1 - 2). Is -104 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 424715 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 18*u + 8 - 15*u)*(-5*u**2 + 4 - 4).\nAnswer: -30*u**3 - 40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*o**4 - g*o**2 - 109*g*o + 24*o**4 + 2*o**2 wrt o.\nAnswer: 48*g*o + 576*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 2*o**2 - o - 1. Let h be g(-1). Calculate the least common multiple of 6 and -4*(-3 - -1)*h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1 = -3*f, -4*j - 3 = -f - 2*j. Suppose -2*q - 2 = -2*n, 4*n - 146*q = -150*q - 36. Sort n, f, 17 in decreasing order.\nAnswer: 17, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 4117?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 4c?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2439924 and 2.9?\nAnswer: 7075779.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 74849.87 and -1.\nAnswer: -74849.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/3 - 102\/(-16) - (35685\/(-312) + 114)?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152 (base 16) to base 5.\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**3\/3 + 11*t**2\/2 - 12*t - 1. Let f be w(9). Solve -31 = 3*s - f*j + j, -j = -s - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2487487?\nAnswer: 1109, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119*(-27)\/42 + (-5)\/10.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (19 + (25 - 8)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3246, -13244, -29908, -53232, -83210?\nAnswer: -119836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -101605 to the nearest 1000.\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2717*h**2 + 6801*h**2 + 2*h**3 + 11559264*h + 4244*h**2 + 5348086144.\nAnswer: 2*(h + 1388)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1266, -3, 642 in decreasing order.\nAnswer: 1266, 642, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 14 = i, -5*u + 10*u - 12 = 4*i. Let y = i + 10. Find the third derivative of 0*l**6 + y*l**2 - 5*l**2 + 2*l**6 wrt l.\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = w - 2*w - 3*k, 0 = k - 4. Solve -w*o - o - 2*m = 18, -4*o - 4*m = 28 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 4*d**2 + 2*d + 3. Let x(v) = -v**2 + 21. Let q be x(-5). Let m be h(q). Let r = 207 - m. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rurq when four letters picked without replacement from uquddqrrdrdrudddrdu?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80500 and 9259250?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j. Let w(v) be the third derivative of -2*v**3\/3 - 3*v**2. Let b(r) = 5*u(r) + w(r). What is the tens digit of b(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-15))\/(j\/(j**(-1\/7)\/j)) assuming j is positive.\nAnswer: j**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -3\/14, 0.1, -68.\nAnswer: -68, -3\/14, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224 - 216 - (-4 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37739 or -55177?\nAnswer: -37739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(4\/(-6) + (-874)\/(-1140)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 + 116.9. Let n = l - 20.3. Which is bigger: -0.06 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 71*x**2 - 381*x - 5. Give w(-76).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/((w*w\/(w\/w**(-1)))\/w))*w*w*w**(1\/8))\/(w**(2\/9)*w**(1\/16)))**34 assuming w is positive.\nAnswer: w**(4505\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -28. Let n(f) = 11*f - 9. Let c(l) = 23*l - 19. Let i(k) = -6*c(k) + 13*n(k). What is the units digit of i(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 336\/9 - 1\/3. Let i(a) = -a**3 + 7*a**2 + 7*a - 11. Let p(q) = -q**2 + 26*q - 113. Let l be p(20). Let v be i(l). Which is greater: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 2*a + 2. Let l be w(-2). Let b = 15 - 15. Let h be (-80)\/32*12\/(-5). Solve h = l*j - b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329883, -1319585, -2969089, -5278395, -8247503, -11876413?\nAnswer: -16165125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0569798 + -2.\nAnswer: -2.0569798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1878834 and 54\/54173047?\nAnswer: 325038282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 405 = 1277. Suppose -2*r = 2*p - k, -3*p = -3*r + 408 - 93. Suppose -2*b = 5*d - 125, 3*d + d - r = -3*b. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 4*c**2 - 18*c + 1. Let s = 65 - 57. Let r be n(s). Suppose y - r = -4*y + 5*u, -675 = -5*y - 5*u. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -44, 0.1 in increasing order.\nAnswer: -44, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 1235088 = -3957528. What is r rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4394.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 - -4.89. Let l be 28\/(-20) + -1 + (-4)\/(-10). Suppose 0 = w - 3 + 4. Which is the closest to l? (a) w (b) 0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24864 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 904*r - 5742*r - 1264*r + 433242 = 0 for r.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b - 2. Let m(w) = w**2 - 3. Let x(h) = -3 + 7 + 4 - 4. Let k(i) = 4*m(i) + 3*x(i). What is k(z(q))?\nAnswer: 36*q**2 + 48*q + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + 8. Let f = d + -9. Let s = f + 0.2. Which is the nearest to 2\/7? (a) -1\/4 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1271857830 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/577456 and -35\/2992272.\nAnswer: 32914992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5622 - 5473. What is the least common multiple of 11 and b?\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 2725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbebbeebbbbbeqbeb. Give prob of picking 1 e and 2 b.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8522 - 8517. Solve 2*r + 6 = -k*n - 23, -4*r = 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -i - 25*d + 6170, -d = -i + 6206. Is i a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q. Let k be 1 + 2 + -3 + 2. Let o(t) = 7*t. Let j(b) = k*o(b) + 3*i(b). Let h(x) = -2*x**2. Give h(j(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaaemeaeamea.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2 + 0 - 2 + 4 + (2 + 0 + 0)*(-4 + 5 + 1) + 2 + 0 - 4 - 4 + 2 + 4 - 5 + 2 + 0)*(2*y**4 + 4*y**4 - 3*y**4).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {n: 2, x: 2, f: 8, g: 7, o: 1}?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 86 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0. Let c be 9 + -7 + (-1 - -2). Let a = c + l. Solve 2 = 4*s - a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-12) - (-22)\/6. Suppose -2*g - 3*g + 49 = -t*h, 53 = 5*g - h. Solve -3*v + 4*f + 9 = 0, -g = v + 4*f + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.09 + -13.09. Which is the nearest to -2\/87? (a) -4\/3 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - u - 3*u + u**2 - 1. Suppose 12 = 5*j - 13. Calculate c(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34141 is divided by 17053?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 5\/16, 1, -1.3, 1\/2, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 3 (b) 0 (c) -98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - 197c?\nAnswer: -1987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27683 and 361?\nAnswer: 525977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**5\/5 - q**3\/3 + 34*q + 50. Find the first derivative of t(v) wrt v.\nAnswer: 4*v**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 41 = 3*c + 3*a, 0 = 5*c - a - 173. Let o be 3 - (4 - c\/49). Put o, 0.4, 0 in decreasing order.\nAnswer: 0.4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 4. Suppose -2*j + s = 5*q, -4*q + 2*j - 9 = -47. Suppose -4*u - 25 = -q*u. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3))**44 assuming i is positive.\nAnswer: i**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752802.\nAnswer: 2, 3, 37, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -5, 21, -11, -1 in ascending order.\nAnswer: -13, -11, -5, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -128*v - 4788. Calculate the remainder when 473 is divided by b(-38).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*c - 221*c - 1281 - 4115 = 0 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7917096ml?\nAnswer: 0.0007917096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 79\/4. Let s = -0.0865 + -17.9235. Let g = -18 - s. What is the second smallest value in n, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 131*k**7\/42 - 25*k**4\/12 - 102*k. Find the third derivative of g(t) wrt t.\nAnswer: 7860*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 2b13?\nAnswer: 2b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -288.9867 - 0.0133. Let t = z + 290. Which is the nearest to 0? (a) -4 (b) t (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(24))\/sqrt(2) + -1.\nAnswer: -1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 550*h - 223379. Give j(406).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 - -10. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/89 in -1\/3, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/11, -0.62, 4, -0.3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -246020, -492583, -739146, -985709, -1232272, -1478835?\n\"Answer: -246563*j + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5.5. What is the smallest value in 2\/9, 5, f, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*b + 14, -5*b + 6*t - 11 = 2*t. Let s be 985\/12 - b\/(-4). Let a = s - 83. Is -1 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 873205 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -104*s**3 + 3*s**2 + 2*s - 1. Let u be l(-1). Suppose 33*b = u - 5. Solve b*g + 2*q = -2*q - 8, -5*g = -q - 25 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.039045 - -0.039. Round y to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*u = -u - 10, -5*u = 5*l. Suppose -g = -6*g - l. Find the common denominator of g*(267\/(-12) + -2) and -31\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 621*d - 671*d + 95. Solve d*u = 191 - 187 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39224 - 7?\nAnswer: -39231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/23)\/s)\/s)\/s**(-1)*(s*s**(2\/3)*s*s)**(2\/9) assuming s is positive.\nAnswer: s**(-61\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.04 and 655136.\nAnswer: -4612157.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - -7. What is the remainder when z is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.94 - 6. Let d = -136 + 135.94. Let i = d - o. Which is the nearest to i? (a) -0.3 (b) 0.08 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**3 - 1440164*d**2 + 129630241760*d - 129628801600 = 0.\nAnswer: 1, 180020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 7 + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r. Let n(g) = 2667597*g. Give n(u(p)).\nAnswer: -5335194*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 102220211100110?\nAnswer: -102220211100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -63188, -126390, -189592, -252794, -315996?\n\"Answer: -63202*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**4\/7 - 1052*u**3\/7 + 2094*u**2\/7 + 1052*u\/7 - 2096\/7 = 0.\nAnswer: -1, 1, 2, 524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 - -95. Suppose 2*y = -y - m + 131, x*y - 2*m - 233 = 0. What is the greatest common divisor of 120 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 24*j = 30. Suppose -2*p = 6 - j. Suppose 7*h - 11*h = p. Solve h*z + 6 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-21)\/u*u**12)**(-9) assuming u is positive.\nAnswer: u**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(-280)*-288296*(3 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**5\/10 - 11*m**4\/12 + 21*m - 4. Let x be (-4)\/(-6)*33\/2. Let t(l) = -l**3 + 6*l**2. Give x*t(d) + 6*u(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 104*i**3 - 5*i**2 + 12*i - 6. Let f(a) = 103*a**3 - 6*a**2 + 14*a - 7. Calculate -6*f(r) + 7*j(r).\nAnswer: 110*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49813?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*n - 144, -3*n - 9 = 3*j + 72. Let s = -25 - j. What is the smallest common multiple of 2 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 + 188*a\/3 + 368\/3.\nAnswer: 2*(a + 2)*(a + 92)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107132 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1046, -664, -282?\n\"Answer: 382*i - 1428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c + 0*c - 2*c)*(-4 + 1 - 5) + c + 5*c + 0*c)*(-1 + 0 + 2)*(144 - 144 - 6*c**2).\nAnswer: -84*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2 = -8. Let y be -4 + 6 + w - -7. Suppose -12*j = -y*j - 88. Solve -p - 16 = -3*k, 3*p - j = -3*k + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by (-3 - -2 - -1) + 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226, -224, -222?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3404\/138)\/(((-216)\/24 - -6)*2\/18)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*z - 6 = 0, 6*j + 5*z - 17 = 4*j. Which is smaller: -1\/41 or j?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2660425.2 months in millennia?\nAnswer: 221.7021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/33 + -5\/11. Let q = 0.1 - 0.3. Let k = 71\/2 - 36. Which is the closest to k? (a) q (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 3*m**2 - 5*m + 2. Suppose 3 = 3*z - 2*z. Determine q(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 7. Let d be t(-3). Suppose 12 = 3*k, 28 = 4*v + 2*k - d. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/29, 1, 6\/13, 50.7, 5, 21, 4 in decreasing order.\nAnswer: 50.7, 21, 5, 4, 1, 6\/13, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1197 or -1?\nAnswer: 2\/1197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*((sqrt(468) - (sqrt(468) - (0 + sqrt(468) + (sqrt(468)*1)**2))) + (1*sqrt(468)*-2 + sqrt(468))**2)*-3.\nAnswer: 18*sqrt(13) + 2807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 26.25, 0, 1\/5, -0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (552\/93 + -6)*(6 - 143\/26).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*y**2*z**2 + 3*m**2*y**2 - 2951095*m**2 + 3*m*y**2*z**2 - 3*m*y*z**2 - 4687*y**2*z**2 + 2*y**2 - z**2 - z wrt m.\nAnswer: 2*y**2*z**2 + 6*y**2 - 5902190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 376836 and 48081?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/1464 and -49\/12.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -303518779, -607037561, -910556343, -1214075125, -1517593907?\n\"Answer: -303518782*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 27*i**2 + 90*i + 4. Calculate s(30).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/(-6) + 15\/10)\/((-79)\/(-79)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 12:28 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-15)\/(-18))*(297\/(-176))\/(-27)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 9*b - 3*f - 81, 5*f - 5 = -b. Calculate the remainder when 119 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - ((-9)\/2)\/(-9). Determine b, given that -l + 7\/4*b - 5\/4*b**2 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32198 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3672 and 10574?\nAnswer: 1141992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7373 and 1616?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfj when three letters picked without replacement from {k: 2, t: 2, f: 3, j: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30 - 16) + (-2)\/1. What is the units digit of (x\/(-18))\/(2\/(-507))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-64 - (57 - 52))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 17, 33, 65, 119, 201?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21525871?\nAnswer: 173, 124427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.4 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 6*y**2. What is t(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56633836 rounded to the nearest ten thousand?\nAnswer: 56630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 - 2*h**2 + 2*h - 1. What is the remainder when a(4) is divided by ((-36)\/(-48))\/((-4)\/(-560)*3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -211*y**4 + 3*y**3 + 108*y**4 - 2*y + 105*y**4 - 3*y in the form u*y + p*y**4 + x + f*y**3 + d*y**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 977110.1 decades?\nAnswer: 9771.101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 p, and 1 h when four letters picked without replacement from vhhhmvtthpvvtgv?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, -682, -2738, -5982, -10414, -16034?\nAnswer: -22842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 4:00 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**2 + 586*q - 75 + 307 - 69*q**3 - 76 - 78 - 80 wrt q?\nAnswer: -414*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26398\/11187 + 4\/1017. Which is smaller: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*p - 14 = 262*p. Let -1\/4*d**p - 1\/4*d + 0 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, x: 2, v: 3, h: 1, a: 6}. What is prob of sequence dv?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2. Let k(h) be the second derivative of 11*h**4\/6 - 20*h. Determine k(i(s)).\nAnswer: 22*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 80898.9821 to the nearest ten.\nAnswer: 80900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t + 44*t - 5*d + 2787 = 0, -2*t = -3*d - 2779. Let h = t + -271. List the prime factors of h.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -16*h - 4. Let k be r(-1). Let l = k - -25. Let n = l - -35. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52644 bigger than 154.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 8*c - 16 = 0. Let a = 12 + c. Solve -6 = -3*p - n, -p = -2*n - 5 - a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -81\/2 not equal to -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**2*q**2 + 10222*o**2*q + 20*o*q**2 + 379*q**2 wrt o?\nAnswer: 6*q**2 + 20444*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49 and -14\/2843?\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3\/((-9)\/(-6)))\/(3\/54) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2656 - 1311*m + 1327 + 3973*m + 1329 to the form t + l*m and give l.\nAnswer: 2662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m**3 + m**2 + m. Let r(n) = n**2 - n + 1. Let o(p) = -p**3 + 18*p**2 + 4*p - 23. Let y(v) = -o(v) - 3*r(v). Let l be y(21). Determine a(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5053 + -5045. What is the smallest common multiple of z and 137?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21 + (2 - 0)*-1. Solve -5*y - 3*f + 7 = 0, -2*f = 3*y - 6*f + v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -40. What is the third derivative of -98*n**2 - 10*n**4 + 79*n**2 + 25*n**a wrt n?\nAnswer: 360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49499015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 4*j**2 + 0*j**2)*(29*j - 4*j + 10*j).\nAnswer: -70*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**4 - 10 + 19 - 2*o**2 - 7 to the form v*o + n*o**3 + g + r*o**2 + y*o**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2367*p**4 + 11337*p**3 - 306332817*p**2 wrt p?\nAnswer: 56808*p + 68022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, c: 3, b: 5}. Give prob of sequence ggcg.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-4))\/((-3)\/(-1580)). Suppose 2*n - 3*n + 2 = 0. Suppose n*d - 130 + s = 0. What is d rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*r + 690, 4*x - 310 - 590 = 4*r. What is the highest common divisor of x and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 6) in base 5?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*i**2*v**2 - 12*i**2*v - 36*i**2 + i*v**2 + 151*v**2 + 5*v wrt v.\nAnswer: 26*i**2 + 2*i + 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9*v + 57. Let j be o(-15). Let d be 8*12\/j*(8 + 0). Solve 0 = -2*y + 3*y + 2*s - 6, -d*y + 5*s + 11 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Suppose 2*j + 2*o = 2, -4*j + 6*o - 5*o = 1. Let q be (-3)\/(-3)*-1*1. Sort q, l, j.\nAnswer: q, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 162, 173, 196, 237, 302, 397?\n\"Answer: l**3 + 4*l + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f**2. Let u(x) be the second derivative of -x**3\/6 + 14*x. What is b(u(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 753 + 510. Is 2\/(-6) - ((-48609)\/n + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**4\/2 - 2*g**3\/3 - 2*g - 7. Let w be o(-2). Suppose 0 = 7*j - w*j - 50. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, -133, -324, -597, -952?\n\"Answer: -41*g**2 + 14*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057730 is divided by 85.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*b + 3*p - 1, 3*b = -3*p - 24. Put b, 2, -3, -4 in ascending order.\nAnswer: b, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19457 divided by 1?\nAnswer: 19457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*d*i + 66*d + i**3 + 1 with respect to i.\nAnswer: 26*d + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 22 + (2 - 2). Let a be 3\/(-48)*4*796. Let l = a + 332. Calculate the greatest common divisor of r and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.815 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*x**2 + 4*x**2 + 19*x**2)*(59*x**2 + 44*x**2 - 1 - 126*x**2) to h + s*x + c*x**4 + i*x**2 + n*x**3 and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/2082 and -79\/102.\nAnswer: 35394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b, l + 2 = b + 14. Suppose 0 = -4*k + k + l. Solve 3*z - k*z = 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*j - 1903*j - 1522*j + 735*j in the form y + z*j and give z.\nAnswer: -2548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 62 = 2*b, 142*b - 166*b = 3*d + 564 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 4*h**2 + 285*h. Calculate o(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 131722*n - 1511. Is q(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**3 + 3*q**2 - q - 5. Suppose -8*c + 10 + 30 = 0. Let o(f) = 9*f**3 - 5*f**2 + 2*f + 9. Determine c*b(a) + 3*o(a).\nAnswer: 2*a**3 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f - 1. Let h(y) = -5*y - 27. Let d be h(-7). Suppose 3*a + d = 5. Give j(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/30*(-3)\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -77526 divided by -25842\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpasl. What is prob of picking 1 p, 1 l, and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 31*q - 198. Let x be v(-5). Solve -8 = -2*d, 3*i = 5*d + x - 27 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + k**2 - k - 13. Give l(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2024?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 24*w = 0. Suppose w = -2*y + 19 + 13. Calculate the lowest common multiple of 4 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 113.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*o**4 - 27*o**4 + 63*o**4 - 5*o + o**4 + 5*o + (-2*o**3 - 3*o + 3*o)*(0 + 2*o + 0) - o**4 + 1 - 1 to v*o + g*o**3 + p*o**4 + j*o**2 + y and give p.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47\/2 - -25. Put p, -15, 0.4 in decreasing order.\nAnswer: p, 0.4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 61600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q**3 - 17*q**3 + 11*q**2 - q**2 - 10*q**2.\nAnswer: -33*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 3:29 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*j + 3*v, 0*j - 36 = -3*j - 2*v. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:54 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -273746.468 to the nearest 10.\nAnswer: -273750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/18426 and 151\/48.\nAnswer: 147408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/786059 or -1?\nAnswer: 7\/786059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*q - 6, 7 = 5*q + 2*v + 16. Let o be (-1 - (q - -1))*2. Solve 0*t - 2*m + 12 = o*t, 14 = -t + 3*m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2 + 2)*(-1 + 1 + 2*q) + (0 - 1 + 3)*(-1 - q + 1) - 3 - q + 3.\nAnswer: -19*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 53 - 93*k**2 - 24 - 15 to the form f + w*k**2 + l*k and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 35 = -4*h, 25*w + 4*h = 21*w. Suppose -w*f - 7 = -l - l, 0 = -2*l + f + 3. Which is bigger: l or -1\/26?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*m - 35*m - 36*m - 7*m + 7*m + (1 - 1 + m)*(-4 + 4 - 2) + 6 - 2*m - 6.\nAnswer: -67*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2674577*d**6 + d**3 - 74422229*d**2.\nAnswer: 320949240*d**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-120 - -122)*4222\/4?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8047 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 377 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v + 5*v + 3 - 2 + 4*v.\nAnswer: 26*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/2 (b) 4 (c) 115 (d) -3 (e) 0.31 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + -44. Let j = 4237 + -4208. What is the remainder when j is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*j + 150, 2*j - 2 - 2 = 0. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d + 42. What is h(8)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/15)\/((-400)\/(-180)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.1 + -26.9. Let h = j + 41. Let q = 0 + -11. What is the closest to 1 in 1\/4, q, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 34. Calculate the common denominator of 3487\/638 - (3 + h) and 121\/20.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - 5*sqrt(1701))\/sqrt(7))**2 + 3 + sqrt(3) + 3 + -4 + 1 + 5.\nAnswer: sqrt(3) + 5816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12980996.\nAnswer: 2, 7, 17, 27271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 9. Let o be (-12 - -9) + m*2. Let g(k) = -2*k**3 - k. Let z be g(-1). Sort 4, o, z in increasing order.\nAnswer: o, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 + 28*s**2 + 8*s**2 + (-3 - s + 3)*(-3*s + 2*s + 0*s) - s**2 - 3*s + 3*s.\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + 2\/(2 - 0). Suppose 135 = -10*i + 5. Let w be i + 21 - (-1)\/((-2)\/2). Solve -w*p + 1 = -d*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-936)\/(-247))\/36)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 521150 (base 6) in base 2?\nAnswer: 1010001100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y + 93*y + 169*y + 112*y. Let d(x) = -3*x**2. What is r(d(w))?\nAnswer: -1095*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k - 0. Suppose 5*h = -i + 13, k*h - 3 = i + 2. Suppose -2*a + 2*j = -28, 12 = 2*a + 3*j - j. Solve -4*x = -a - h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 + 350 = -18*p + 175. Solve 21*b + 69 + 15 = p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -0*l + 5*l + g, 5*g + 35 = 5*l. Suppose -j - 4*b = -8, 2*j + l*b = 3*b + 28. What is the remainder when j is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1336*l + 9143. Determine b(-7).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 624 and -230.\nAnswer: -143520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -13 - ((7 - 37) + -6)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, b: 2, a: 2}. What is prob of sequence abab?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*n**3 + 6*n**3 + 0*n**5 - 5*n**5 - 6*n**2 wrt n?\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1082589, 1082951, 1083555, 1084401, 1085489, 1086819, 1088391?\n\"Answer: 121*w**2 - w + 1082469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 28. Suppose 187 = -l*a + a. Is a\/(-2)*(-5 + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 638 and 638.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -136 - -1223\/9. What is the nearest to 2 in 1\/4, x, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 23*x - 3 + x**2 + 4*x**2 - 3*x**2 - 24*x. Calculate c(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(4\/(-4 - 0)). Solve 0 = -b*z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3189 + 15*q - 3189 as l + s*q and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 110, 115?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14838 and 0.35052.\nAnswer: 14838.35052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -2*i + 1592. Let j = 245 - i. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*x - 30, 0 = -0*x + 4*x + 3*d - 57. Suppose 0 = u + 42 - x. What is the remainder when 41 is divided by 73\/5 + 18\/u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4393 or 4382?\nAnswer: 4382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/(-40)*12\/126?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*t**2 - 6491*t + 6491*t - 10*t**2 + 8*t**2.\nAnswer: -80*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 8*f**2 + 15*f - 7. Let c be j(6). Suppose 1250 + 6219 = c*a. Suppose a = 5*h + 189. Calculate the greatest common factor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5550051 at most -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 0*n**3 + 0*n**6 - 1\/42*n**7 + 0*n**5 - 1\/6*n**4 + 0 + 0*n**2 + n. Find the third derivative of l(x) wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1972*w**2 + 2*w + 9. Determine d(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -1\/30*i**6 + 1\/6*i**3 + 1\/30*i**5 + 0 + 11*i**2 + 1\/12*i**4 + 0*i. Give y(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-216)\/3*2\/(-4). Let o be (6\/2 - 2)*((-17 - 10) + 26). What is the common denominator of 61\/33 and (-4)\/n*(3 + o - -42)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 3*p**2 - 4*p + 3. Let v be n(4). Let l = v - 0. What is the third derivative of -1 + 3*f**l - f**2 + 2 - 1 wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjkox. What is prob of picking 1 x, 1 t, 1 k, and 1 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 + 71. Put -9, -1, b, -1\/4 in decreasing order.\nAnswer: b, -1\/4, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135b (base 16) to base 10\nAnswer: -4955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*i**2 - 82*i**2 + 42*i**2 to c + j*i**2 + l*i and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98 and 167?\nAnswer: 16366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + 2*s = -93, -t + 0*t - 436*s + 431*s - 189 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d**3 - 6*d**2 + 6*d. Let i(g) = g**3 - g**2 + g. Calculate 6*i(k) - l(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1615*r**3 + 2*r**2 + 4939*r wrt r.\nAnswer: 9690*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afafaah. What is prob of sequence aha?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 5:55 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 39 = 3*a, 3*a + 4 = -821*q + 822*q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(612) - sqrt(612))*-3 - 5*(-1 + sqrt(612))) + -2 + 2*(-1 + sqrt(612) + sqrt(612)))*-5*1)**2.\nAnswer: 2400*sqrt(17) + 979225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/21 in 5, -57, -1143?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*b + 35, -35 = -5*b + 3*u + 30. List the prime factors of (1926\/b)\/3 - (-12)\/(-60).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36770565?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 38, 47?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 7*m**3 + 2*m + 6*m - 8*m.\nAnswer: 7*m**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 268845*b**2*m**3 + 3021*b*m + 2*m**3 - m + 66 wrt b?\nAnswer: 537690*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 3*s - 60 = 0, -408*n = -407*n + 5*s - 62. What is h in 0*h**3 + 0*h**4 + 0*h + 0*h**n + 2\/11*h**5 + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 281 - 257. Calculate the greatest common factor of 432 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -5*s + 15, -4*y + 0*s + 15 = 5*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 0.2.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11374, -22781, -34184, -45583, -56978, -68369, -79756?\n\"Answer: 2*q**2 - 11413*q + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4 + 113*n**3 + 174*n**2 + n - 58 = 0. Calculate n.\nAnswer: -1, 1\/2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 27618 (base 9) to base 5\nAnswer: 1044403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -533*r**2 + 5580*r - 10528. What is c(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3034150 and 1400.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 2 = 8*o. Suppose -415 = -i + v, 3*i + o*v + 2*v - 1280 = 0. Suppose -4*w + 3*p - 4*p + i = 0, 0 = 4*w + 3*p - 420. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6145573, -6145571, -6145569, -6145567?\nAnswer: -6145565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 111430247 and -247.\nAnswer: 111430000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -868*i**5\/15 - 1694*i**3\/3 - 2659*i**2. Differentiate r(m) wrt m.\nAnswer: -6944*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 14. Solve p + 2 = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -65? (a) -8 (b) 13 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 8. Suppose 18*x - 21*x = 6. Let u be ((2*2)\/x)\/(154\/231). Let y(w) = 3*w - 16. Calculate u*y(r) - 5*b(r).\nAnswer: r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - (sqrt(125) - (1 + sqrt(125))))*5)**2.\nAnswer: 250*sqrt(5) + 3150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/9 - 74362*m\/9 - 231349916\/9 = 0. What is m?\nAnswer: -33754, -3427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1908124 is divided by 198?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 3110?\nAnswer: -3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 11*c + 8. Let d be k(-11). Suppose d*a - 769 = 5*a - b, -4*b - 265 = -a. Suppose -a = 8*j + 39. Which is bigger: -34 or j?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 468205*v. Let y(u) = -22*u**2. What is q(y(d))?\nAnswer: -10300510*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -54 + (-11 - -21 - (-20 - -12 - (-1 + -11)))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11760 and 10780.\nAnswer: 129360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -47, -3, 172, -2\/7.\nAnswer: -47, -3, -0.3, -2\/7, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5056.602 kilograms?\nAnswer: 5056602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1123, 2248, 3373, 4498?\n\"Answer: 1125*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56270 and 5627.\nAnswer: 56270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147078 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -9. Let r = -11.9 - c. Let m = 0.1 + -0.1. What is the closest to r in m, -0.3, 2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-24)\/8) - 0)*-6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5 + 26*m**4 - 34*m**3 - 74*m**2 + 136*m - 56 = 0. What is m?\nAnswer: -14, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -5\/2 (c) 13 (d) -0.4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22*-47.4008.\nAnswer: 10.428176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 15) to base 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39528703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.3 - 0.3. Let p = 24756.88 - 24757. What is the second smallest value in p, j, -2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 3294.\nAnswer: 2\/1647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428799.\nAnswer: 3, 7, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h. Let w be o(-1). Let c be (-2)\/4 - 17\/w. Find the second derivative of c*a**2 - 8*a**2 + 2*a**4 + 2*a wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - b + 25 = 0, -2*o - b = 3*b - 60. Let q = -16 + o. What is the third derivative of -i**q + i**2 + 0*i**2 + 5*i**2 + 7*i**4 wrt i?\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105857 by -1.\nAnswer: -105857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 209*j**2 - 7*j + 2. Let z be b(2). Let q = z + -520. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1425985071?\nAnswer: 3, 7, 29, 311, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18904.7 + -2620.3. Let y = l + 21538.347. Let j = 13.4 - y. What is j rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*m**3 - 18822*m**2 + 4220160*m - 1204224.\nAnswer: 3*(m - 448)**2*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115092 by 36.\nAnswer: -3197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f + 2. Let r(p) be the second derivative of -11*p**3\/6 - 2*p**2 + 11*p. Determine 5*j(l) + 2*r(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t. Let h(k) be the first derivative of k**6\/180 + k**3\/3 - 4. Let x(p) be the third derivative of h(p). What is j(x(z))?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/(n*n*n\/(n\/n**(-1\/3))*n))**(-2\/23)\/((n**(1\/2))**13*(n*n*n**(2\/5))**(1\/11)) assuming n is positive.\nAnswer: n**(-49231\/7590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 4, m + 6 = 2*t. Let s(f) be the second derivative of f**5\/20 + f**4\/2 + 5*f**3\/6 + 3*f**2\/2 - 2*f. Calculate s(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206070055.\nAnswer: 5, 661, 62351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 50*f - 97. Let w be s(2). What is the nearest to w in -0.4, -2, -0.1, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8\/23 - 101\/92. Which is smaller: c or -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87100 and 1000.\nAnswer: 871000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -12*b + 7. Let c be y(3). Let w = 61 + c. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 44*f + 2. Suppose -14 = -2*j - 16. What is o(j)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 at least as big as -5.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0049409 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 j when four letters picked without replacement from {w: 4, m: 2, j: 2, s: 3, f: 2}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u - 13. Let x be z(-8). Suppose 2*t + 3*t - 2*n = 21, 3*t - x*n = 18. Let d be (-1 + t)\/(10\/25). Solve -3 = 2*y + d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21007.39003 + 20900.39. Let x = -107 - z. What is x rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9430 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 4*l + 169*l**2 + 2*l + 9.\nAnswer: 169*l**2 + l + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28047\/(-4)*(3440\/60)\/(-43)?\nAnswer: 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 101100111100?\nAnswer: 101100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -764 + -1?\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.5. Let d = 67 + -66. Sort 0.5, f, d in descending order.\nAnswer: d, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5664*x + 5681*x + 34 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 538976434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*w + 13, -4*v - w = -7*v - 14. Let m(r) = 4*r**2 - 2*r - 2. Let x(l) = -5*l**2 + 3*l + 2. Let c(h) = v*x(h) - 6*m(h). Factor c(p).\nAnswer: (p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4 = -0. Let z(m) = -2*m**3 + 2*m + 1. Let b be z(-1). Let i be b\/(-2 - 6*-1). Which is bigger: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 16*p**2. Let g(j) be the first derivative of -7*j**2\/2 - 35*j + 12475. Calculate g(h(m)).\nAnswer: -112*m**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 2*f**2 + f + 4. Let n be g(-3). Let l = n + 29. What is the remainder when 61 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1789*y - 411. List the prime factors of h(4).\nAnswer: 5, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 26 = 37. Let m = t - 62\/3. Let b = 0.3 - 0.1. What is the second smallest value in -1\/9, m, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 23654029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-35)*7\/10*-5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 15*w**2 + 15*w + 12. Calculate x(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)\/i**2)\/(i*i**(-4\/9)*i**(2\/47)*i) assuming i is positive.\nAnswer: i**(-1381\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 2:29 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from aayyvxafxfvxy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 4*r**2 - 4*r - 3. Let a be f(-3). Let i = -0.03 - -0.83. Let j = 1.8 - i. What is the closest to -1\/4 in j, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(3 + -1 + sqrt(4)\/sqrt(2)) - -3*3*sqrt(7200)*1.\nAnswer: -5 + 537*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**4 + 20*a**3 - 245*a**2 - 980*a = 0.\nAnswer: -7, -4, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(180\/8 + -9). Factor 2\/9*u**3 + 0*u**2 - i*u**4 + 2\/9*u**5 + 0 + 0*u.\nAnswer: 2*u**3*(u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/108484 and -7\/26788?\nAnswer: 19635604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 5*j**9\/3024 + j**8\/168 - j**7\/21 - 11*j**3\/3 - 37. Let r(c) be the third derivative of z(c). Factor r(y).\nAnswer: 5*y**3*(y - 2)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1210 - 3?\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 678230803 to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3435, 4\/9, -22.\nAnswer: -22, 4\/9, 3435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3049580.\nAnswer: 2, 5, 41, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-183)\/(-3) + ((-3)\/(-3) - 2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + (-70 - -109) + 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -47 (b) 89 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 + 5610*o**2 - 5610*o**2.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*t - 10347 = -5*v, 3*v - 10353 = -2*t. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 12) in base 9?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1052, -1047, -1042, -1037, -1032?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*t - 14, -4*g + 0*t + 23 = -3*t. Suppose -g*f = -0*f - 40. Solve -3*x - f = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/15, 2\/13, -5, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/7)\/k)**36)**42)**(-17) assuming k is positive.\nAnswer: k**18360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -230*o**2 - 2*o. Let f(z) = -190*z + 5. Let m(s) = -265*s + 7. Let p(j) = -7*f(j) + 5*m(j). Determine p(x(g)).\nAnswer: -1150*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1920229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/137 - 6723\/685. Let n = 4567\/9 + -514. Find the common denominator of n and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129072 = 3574*u - 436436 for u.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r - 938*r**3 - 28*r**2 + 26*r**2 + 9*r in the form j*r**2 + s + h*r + y*r**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194627 is divided by 331?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1322 - 1322. Let b(j) = 2*j + 10. Give b(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 12. Let w be j(-7). Find the first derivative of 0 - 7*d**w + 0 + d**2 - 1 wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -68, -159, -278, -419, -576, -743?\nAnswer: -914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212011202020110 - -12?\nAnswer: 212011202020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -q - 6, 3*z = -41*q + 45*q - 21. Calculate the highest common divisor of q and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41824.06 litres to millilitres.\nAnswer: 41824060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i - 1. Let l be r(1). Let o be (-2)\/(-1)*(63 - l). Suppose -b - k + 54 = -o, b - 2*k = 189. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = -24 + 222. Suppose 19*s + 300 = y*s. What is the highest common divisor of s and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + 6 + 4 + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121.226 + -121. Let a = c - 0.064. Round a to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138653825, 138653821, 138653815, 138653807, 138653797?\nAnswer: 138653785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 4. Let q be s(7). Let l(d) = 4 - 6*d**3 - 4*d**2 + 11*d**3 + 13*d**q. What are the prime factors of l(2)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67\/495 + 2\/45. Which is the closest to 0? (a) 0.3 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/656, -2 in increasing order.\nAnswer: -2, -1\/656, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*v + 2816 + 616 = 0. Calculate the remainder when 62 is divided by v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 14, -216, -5, 41, 3 in increasing order.\nAnswer: -216, -5, -2, 3, 4, 14, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2716588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -8. Let s be (-5)\/2 - (-4 - m). Let h = -11\/4 - s. What is the nearest to -2 in h, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 23*l + 13 - 44. Suppose 0 = 4*j - 0 - 8. Solve -l*r - 5 = m + 1, j*r + 4*m = -6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 17096.26905 milliseconds?\nAnswer: 0.000028267640625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-48))\/(12\/16 - 2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 6792, 24988, 60426, 118854, 206020?\nAnswer: 327672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 3*o**2 - 2*o - 6. Let g be r(-3). Suppose -2*l + l = g. Suppose 4*j - 4*h + 28 = l, -3*j - 12 = h + 1. Which is greater: j or -9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 - 2*r**3 - 2*r**3 + r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-3))**(2\/49)\/((q*q**(-5\/3)\/q)\/q*q**(-3)*q))**(-48))**(-1\/27) assuming q is positive.\nAnswer: q**(10688\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3452\/5 + 690. Which is the closest to r? (a) 0.3 (b) -14 (c) 2\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38*y - 7*y + 9*y)*((y + 0*y - 3*y)*(0 + 1 - 2) + y - y - 4*y)*(-y**2 + 2*y**2 + 0*y**2) as s*y**2 + a + h*y**3 + k*y + z*y**4 and give z.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/9, -3, 90, 23992 in descending order.\nAnswer: 23992, 90, 14\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 15) to base 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -1\/16*u**4 - 1\/12*u**3 + 0 + u**2 - 1\/40*u**5 - u - 1\/240*u**6. Let i(a) be the first derivative of z(a). Factor i(q).\nAnswer: -(q + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 7*n - 4*n - 5*n + 6*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b (base 16) in base 7?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 223323030 (base 4) to base 6\nAnswer: 3504540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 3*p + p)*(p - p - 3*p) + (4*p + p - 3*p)*(-8*p + 2 - 2).\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.76 - -21. Let b = c + -0.23999926. Round b to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -85*y + 86*y - 3*k, 0 = y + k - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**5\/30 + 23*i**4\/12 + 8*i**3 + 15*i**2 - 3*i. Suppose f(m) = 0. Calculate m.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + m + 3*m + 1 = 0, m = 4*i - 16. Let r = i - -1. Suppose -r*f + 90 = f. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*j + 7*j**3 - 6*j**3 - 4*j + 2*j**2 - 11*j + 5 as g*j**2 + o*j**3 + w*j + d and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547 is divided by 251?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*11\/(-22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85286169?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -10) + 11 + (-2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 985196943 to the nearest integer?\nAnswer: 31388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 12*k**2. Let b(a) = 23*a - 8*a - 3*a - 9*a. Give b(i(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, g: 3, s: 4, u: 1, f: 3, z: 5}. Give prob of picking 1 s, 1 u, and 1 f.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 279 - 279.254. Let r = -52.054 - -52. Let f = n - r. Put f, -8, 2\/7 in ascending order.\nAnswer: -8, f, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4489 + 4381 + (-1 + -4 + 2 - -1 - 1).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/7 and 4\/1096111.\nAnswer: 7672777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 403 + 30*x**4 + 61*x**4 - 539 - 92*x + 137 to c*x**2 + s + n*x + a*x**4 + w*x**3 and give n.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 53.3 times 7074\nAnswer: 377044.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -335*o - 6 + 2 + 1 + 9. Is j(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from effaf. What is prob of sequence feee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/19 (b) -1 (c) 41\/29 (d) -5 (e) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 14*r**3 + 5*r**2 - r. Suppose -254*i = -235*i + 76. Let y(u) = -13*u**3 - 4*u**2 + u. Determine i*d(g) - 5*y(g).\nAnswer: 9*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 226 = 4*d, -b + 5*d + 77 = 6*d. What is the remainder when b is divided by -1 - 4*(-24)\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 4*t**5\/15 + t**4\/6 - 2*t**2. Find the second derivative of n(r) wrt r.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (164\/(-10))\/2 - -7\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 154*v**2 - 207*v**2 + 230*v**2 - 3*v + 3*v - v**2 - 2*v**2 + 2 - 2 + 4*v**2 - v**2 - 2*v**2 + (0 - v + 0)*(v + v + 0*v) + 0*v - v**2 + 0*v.\nAnswer: 172*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 881.317684 rounded to the nearest ten?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -9*y. Suppose -i - 48 = -3*z, z - 2*i + 2 - 18 = 0. Let v = z - y. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33, 89, 183, 315, 485, 693, 939?\n\"Answer: 19*s**2 - s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-18) - (-3382)\/(-4332))*2\/(-6)?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 23*l**6\/60 - l**5\/30 - l**4\/12 + l**3\/6 - l**2. Let j be x(2). Suppose 2*o = -o + j. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1456119976?\nAnswer: 2, 521, 349357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vllfzkl. What is prob of sequence lz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1. Let o(j) = -4*j - 6. Let u(t) = 8*t + 12. Let v(a) = -9*o(a) - 4*u(a). What is 6*l(h) - v(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -13, 50.\nAnswer: -13, -7, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -13 + (-15 - (57 + -133))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151874?\nAnswer: 2, 75937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from ooooouooou.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + (-1 + 23 - 25)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (0 + (-5 - -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -0.7, -5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -321112 (base 4) in base 2?\nAnswer: -111001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 + 31 = -2*f. Do 1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-26)\/(-12) + 8\/12. Suppose -3*b - 2*a + 9 = 0, -5*b = -0*b + s*a - 15. Put b, 5, 0, -3 in descending order.\nAnswer: 5, b, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*o = -80*o + 250 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 7:22 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 8*k + 11. Suppose -8*h = -7*h - 8. Determine p(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b - 27 - 6*b**2 + 12*b + 2*b**2 + 3*b**2 - 5*b. Calculate i(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 - 0.1. Let y = 2.1 - a. What is the closest to 1 in -4, y, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254880 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from xuuuuuuuuuuuuuu?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585115?\nAnswer: 5, 117023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -32bc9?\nAnswer: -32c00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 11, -31, -103, -211, -361, -559?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((2 + -1)\/2)\/((-5)\/(-240)). Let t be (0 - -2)\/(n\/(-60)). Calculate the remainder when t*(12\/(-10))\/(14\/63) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1204240 - 1?\nAnswer: -1204241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*287.\nAnswer: 6888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*j**2 - 505*j**2 - 126*j**2 - 1690*j**2.\nAnswer: -2276*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1. Solve 0 = -3*g + a + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49453 divided by 2.\nAnswer: -49453\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 7:50 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1868609?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -9*s**2 - 11*s. Let j be (0\/1)\/(-7 - -9). Suppose j = 3*h, -i + 25 = 3*h - 8*h. Let o(p) = -55*p**2 - 65*p. Let n(m) = i*b(m) - 4*o(m). Factor n(r).\nAnswer: -5*r*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 270*l**2*n + 615*l**2 wrt n?\nAnswer: 270*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 755099005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67431243*f**2\/4 + 60888663*f\/2 + 54980883\/4 = 0. Calculate f.\nAnswer: -4281\/4741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 543958836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22776, 5, -6, 0, -2.\nAnswer: -22776, -6, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961 is divided by 904?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 2*i**2 + 2*i - 1. Let b = 2 - 4. Let c be (5\/(-10))\/(b\/8). Suppose 3 = 3*z + c*r, -4*r = -5*z + 12 + 15. What is h(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 6. Calculate h(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/43, 0.3, 1\/5, -0.1, 4\/5, 2 in decreasing order.\nAnswer: 2, 4\/5, 0.3, 1\/5, -0.1, -6\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/19 or -1333?\nAnswer: -1333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15951.20441 from -0.1222.\nAnswer: -15951.32661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6391213, 12782427, 19173641, 25564855, 31956069, 38347283?\nAnswer: 44738497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117 - (-12 - -61) - 65?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -162208*w**2*y + 2*w*y - 217*w - 15*y wrt w.\nAnswer: -324416*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1249*j + 1202*j = -1263783. What are the prime factors of j?\nAnswer: 3, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*(0 + sqrt(539)) - 3*2*sqrt(539)) + -2 + -6*(1*sqrt(539) + -5) + -3)**2.\nAnswer: -11550*sqrt(11) + 587596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1912875, 5, 4 in decreasing order.\nAnswer: 5, 4, -1912875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnwffyyynyaaqw. Give prob of sequence qf.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**2\/7 - 570*p - 48312\/7 = 0. What is p?\nAnswer: -12, 1342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2205353117 + -0.12.\nAnswer: -2205353117.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 1536872\nAnswer: -4610616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 432*x**3 - 6*x**2 + 6*x. Let a(k) = -k**3 + k**2 - k. Determine 6*a(d) + p(d).\nAnswer: 426*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 3*s - s)*(-3 - 2 - 1) - s + 2*s - 2*s + 4*s + 2 + 0*s - 3*s.\nAnswer: 12*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**2*w**4 + 121*h**2*w**2 + 9*h**2 + 21*h*w**4 - 2428*h*w**3 + 2*h*w - 3*h wrt w?\nAnswer: -48*h**2*w + 504*h*w - 14568*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s = -6*s. Suppose 4*c + z - 22 = 0, 2*c - 11 = 2*z - 5. Solve 0 = -3*l - c*a - s*a - 26, -4*a = -4*l + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122344 - 224?\nAnswer: 122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -5314, 1\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 473*x**2 - 696*x - 1407. Determine w(-2).\nAnswer: 1877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-4 - (2 - 9))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Suppose 2*i - 4*i - 4*f = 6, 3*i + 5*f + 8 = 0. Let w(o) = -3*o - 1. Determine i*w(u) + 6*z(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 - 69. What is the second derivative of a + 4 + 1164*t**2 - 2*t - 1083*t**2 wrt t?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence guur when four letters picked without replacement from uuuugguuuugugrga?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49 - 72 + 46 - k)*(-3*k + 5*k - 3*k)*(0 + 0 - 2) to the form d*k + l + o*k**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 1:05 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 3*c + 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2672976 (base 10) to base 6.\nAnswer: -133142520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzyy. What is prob of sequence yy?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4017739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110110001010101010 (base 2) to base 12.\nAnswer: -40760a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/1 - (6 + -3 - 3). Let h be (0 + (-3)\/(-3))*(2 + q). Solve -h*z + 5 + 0 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1081 and 17172145.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 12:39 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 78426193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 8 + (1 - 1) - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 3. Solve 4*z + 2*z - 2*z - z**2 - 6*z - v = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*o + 622944 + 579175 = -468641. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - l**2 + ((0*l + l + l)*(-4*l - 1 + 1) + 0 + 0 - 2*l**2 + 2*l**2 + l**2 - 5*l**2)*(-4 + 5 + 2) + (4*l - 3 + 3)*(0*l - 3*l + 9*l).\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22612.22l?\nAnswer: 22612220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000868264 rounded to 5 decimal places?\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -117, -120, -123, -126, -129?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103776 divided by 51888.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6183 - -6184. Suppose -3*x = -3*v + v - 16, -2 = x + 3*v. What is the third biggest value in -0.08, x, 1\/4, r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyeyyyyeeeyyyyyyyy. Give prob of picking 4 y.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301 - (-7)\/((-21)\/24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 times 726125?\nAnswer: -67529625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 1153?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/15 - 189\/35)*-2. Solve -8*b + 10*b = -j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/30)\/(0 + 4\/18).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.164 less than 4?\nAnswer: 4.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -33, -5903 in descending order.\nAnswer: 0, -4, -33, -5903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddzzddddddd. Give prob of picking 2 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + b**3 - 53708*b**4 + 53978*b**4 - 15 + (3 - 3 - 2*b**2)*(0*b**2 + 5*b**2 - 3*b**2) as l + x*b**2 + r*b + i*b**3 + f*b**4 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r + 32. What is n(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -38*k + 20. Suppose 0*j + 1 = 3*l + j, -5*l - 2*j = 0. Let s(i) = -11*i + 7. Let h(a) = l*q(a) - 7*s(a). What is h(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*b + 99*b + 72 = 0. Put -3, -2760, b in descending order.\nAnswer: -3, b, -2760","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8 = -x, 0 = 2*x - 0*x - 2*r. Suppose 0 = -3*q + 2*q + x. Suppose 0 = -s - q*s + 35. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3432*u**5 + 14820*u**2 wrt u?\nAnswer: -205920*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22081 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -53, -218, -601, -1310, -2453?\n\"Answer: -18*w**3 - w**2 - 36*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5943.0026 rounded to 0 dps?\nAnswer: 5943","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((28\/(-189))\/(4\/654))\/((-58)\/87). Let r be 2\/7 + (-514)\/(-14). Is r greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p + 431 = 5*s, 0 = s + 2. Let j = p + 143. What is the second biggest value in -2\/3, -0.4, j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7568*q + 7569*q - 4 = 0. Solve -3*m + 5*y - 5 = 0, -y + 5 = q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062846 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and 49\/20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28834*i**3 + 109985*i**2 wrt i.\nAnswer: -173004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11869951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26510 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.48 and -1042555684.\nAnswer: -1042555683.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92332\/15 + 6150. Calculate the common denominator of -76\/69 and d.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 187 - 414. Does 41 divide ((1 - -1)*c)\/(43 + -45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/((-1)\/(-10)*2). Let l = 172 + -182. Let t = c - l. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.4 - -29. Round i to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3287.6 take away -2258018176?\nAnswer: 2258021463.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002270879648 rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + -16 + 1076 + -1052.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.7 - 3. Which is the second biggest value? (a) -8 (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.19 and -104.4.\nAnswer: -333.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a + 2*d - 58, -5*d - 207 = -3*a. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1052, -2087, -3108, -4115, -5108, -6087, -7052?\nAnswer: -8003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77065\/2234 - -4\/1117. Let k = -5\/252 - 2473\/252. Calculate the common denominator of x and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5 - 3. Suppose 4*o = -16, f*o + 13 = v + o. Is 8 a factor of 164\/v + 6\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0*4\/(-16))\/(2 + -5). Put -1, -3, -5, i in increasing order.\nAnswer: -5, -3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - 335*i - 7793. Give g(-28).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/6*873\/(-6). Let q = x - -1468. Let i = -274 + q. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 784 and 80032.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 1590?\nAnswer: 4\/795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyk when three letters picked without replacement from eybyeuyekeeuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 22\/5*q**2 + 0 + 6\/5*q**4 - 12\/5*q + 8*q**3 = 0.\nAnswer: -6, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*m**2 + 4 - 383*m**3 - m + 771*m**3 - 387*m**3 + m in the form g*m**2 + j*m + l + t*m**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1863*q**2 + 1863*q**2 + 54*q**5 + q + q - 2*q**5 - q - 2*q**5 + 0*q**5 + 3*q**5 + (-q - 2*q + 2*q)*(-2*q**3 + 2*q**3 + 2*q**4).\nAnswer: 51*q**5 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 29 + 29 + (1 - 2 + 0)*(1 - 5 + 2) + 0 - 1 + 3)*(2*k + 0*k - k)*((0 + 0 + 2*k)*(-1 - 5 + 4) + 36*k - 75*k - 40*k).\nAnswer: -4648*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uff when three letters picked without replacement from wfffccwccuccuuc?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3994 - 15*t**2 + 3*t**2 + 3994 - t**2.\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -9*s**3 + 13*s**2 + 2*s - 4. Let x(n) = -n + 7. Let v be x(8). Let o(l) = -l**2 - l + 1. Let y(j) = v*b(j) - 4*o(j). Factor y(z).\nAnswer: z*(3*z - 2)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533 is divided by 190.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 35*m - 8309. Determine b(233).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13543.8 + 13574. Which is the nearest to n? (a) 1 (b) -6\/11 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-4) - 2*(-2)\/4. Suppose -3*a - 5 = 5*r, v*r + 3*a = 2 - 11. Solve t - h = r*t - 7, -h = -5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 0.1, -43, 0 in increasing order.\nAnswer: -43, -30, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b**2 - b)*(-b**3 + b**3 - 2*b**3) - 11*b**5 + 9*b**5 + 28*b**5 + (-4*b**2 + 3*b**2 + 4*b**2)*(17*b**3 - 2*b**3 - 5*b**3).\nAnswer: 58*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*c + 5301 = 0, -3*x + 580 = 2*c - 3417. Suppose -4*r + 7*r = x. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u - 136 = 0. What is the remainder when (-15 - (-440)\/30)\/((-1)\/285) is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*u - 10 = -3*u, -u - 22 = -3*h. Suppose h - 2 = w. Solve -w*m + 23 = -3*l - 2*m, -3*m = 4*l - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + f - 3 + (4 - 4 - f)*(-2 + 2 - 2)*(2 + 5 - 2) + (94 - 74 + 124)*(-f + 0*f + 2*f).\nAnswer: 155*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 10:28 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -998 (base 16) to base 8\nAnswer: -4630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + 115. Suppose 0 = j + 4*j - l. What is the lowest common multiple of 1\/2*4 - 1 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -128847, -128846, -128845?\n\"Answer: v - 128848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*i + 10, -10 = -4*i + 2*j - 4*j. Solve i = -g + 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 809 + -828.95. Let r = -0.05 + x. Let m = r - -20.018. Round m to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*i = 6, 3*o + 9 = 4*i - 7*i. Suppose -8 = -4*k - o. Solve k = h - 2*v, -4 - 10 = 3*h + 4*v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/27)\/(2580\/(-1032))*(-6)\/4.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3886991 divided by 88\nAnswer: 3886991\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 7) + (3 - 5) + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.34 + 0.54. Let g = 0.8 + l. Let w = -0.84 - -0.34. Which is the nearest to -1\/4? (a) g (b) -4\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.104 + 0.404. Sort -37, x, 4 in increasing order.\nAnswer: -37, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000033844 rounded to seven decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 24 = 4*q, 2*v + v + 96 = 4*q - v + 124 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 3*n**4 + 10*n + 10. What is the derivative of c(q) wrt q?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 17474 (b) -284 (c) 2 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(32) + -1*sqrt(128)\/sqrt(4) + 0)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/8 + 25*g**4\/4 - 519*g**3\/8 + 677*g**2\/4 + 523*g\/2 - 777 = 0.\nAnswer: -2, 2, 6, 7, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 5\/6*r**3 - 7\/2*r**2 + 1\/12*r**4 + 6*r + 0. What are the prime factors of q(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100001101000 (base 2) to base 6.\nAnswer: -115520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -39553927, -39553928, -39553929, -39553930?\n\"Answer: -v - 39553926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 2*t + 3*t**2 - 6*t**2 + 4*t**2 + 4*t**2 + (-2 + t + 2)*(-3 + 2*t + 3) - t + t - t**2 + 4 - 8916*t**2 - 6 - 7457*t**2 + 1 + 1.\nAnswer: -16367*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*d*q**4*t + 4*d*q**4 + 2*d*q**3*t - 14*d*q**2*t - d*q**2 - 12*q**2 wrt q.\nAnswer: 1560*d*q*t + 96*d*q + 12*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 20. Suppose -3*y + 4*u + 108 = -2*y, 2*y - 5*u - 201 = 0. What is the highest common divisor of y and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 4:54 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126 - 79. Let y = f - 50. Which is smaller: y or 3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8905 + -8900. Suppose 2*u + 5*r = -0*r - 12, 0 = 5*u + 2*r - 12. Sort 23, u, m in decreasing order.\nAnswer: 23, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1143 = 2*f + 1077. What is the remainder when f is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.185 and -62.\nAnswer: -11.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12555 (base 7) in base 3?\nAnswer: -11121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/141 in 3, 3664, 18\/7?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 17633*u**2 + 405090*u - 1056600.\nAnswer: (u - 17610)*(u - 20)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 11:17 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 = t, -4*h - 2 = -4*t - 2*h. Suppose -26 = -3*g - t*l + 13, -3*g + 2*l = -59. Solve -4*o - 3*d = -16, 4*o + 1 = 2*d + g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*h + 9*h = -1584. Find the third derivative of -h*i**6 + 6832 + 3*i**5 - 6832 - 169*i**2 wrt i.\nAnswer: -4320*i**3 + 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2913 (b) -1 (c) -6\/131 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 - 12*u**2 - 6*u**2)*(u - 7*u + 2*u).\nAnswer: 92*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0 - 6 = 0. Suppose w*u - 5*u = -6. Solve 0*f = -f - u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/2 + 48605*b\/4 - 809333\/2.\nAnswer: (b + 8134)*(6*b - 199)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 2\/17, -0.38 in decreasing order.\nAnswer: 2\/17, 0, -0.38, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 1, 0, -5, 16 in ascending order.\nAnswer: -5, 0, 1, 16, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and (((-14616)\/(-45))\/(-28))\/(1 - (-182)\/(-180))?\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10143676 (base 8) to base 9\nAnswer: -4033804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 6 - 7 - 136*i)*(-2*i - 3*i + i) in the form u*i**2 + h + a*i and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*d + 51*d - 176*d + 42*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.038 - 1.93. Let b = -1.892 - g. Which is smaller: -13\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6657058, -13314116, -19971184, -26628268, -33285374, -39942508, -46599676?\nAnswer: -53256884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 6248254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + r**2)*(11 - 13 - 4)*(-1 + 1 + 2) to v*r + h + t*r**2 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 634*a - 637*a + 39 = 0 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2025 + -10124\/5. Which is the third smallest value? (a) -0.03 (b) q (c) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6918903?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7412*f = -7408*f + 5*w + 3, -4*f + w = -15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19394.533 rounded to the nearest ten?\nAnswer: 19390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 840 and 41304.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5073243 and -15.\nAnswer: -7.6098645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9)*8\/(-16)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*p - 45, -5*u + 6*p = 8*p - 17. Solve -35*z + 30*z - u = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 5) in base 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + u - 1 = 0, 0 = 506*g - 508*g + u - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4117519*m - 3 - 4117527*m - 3 + 0 + 1 + 1.\nAnswer: -8*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 38*n**2 + 258*n + 5530. Give g(-42).\nAnswer: 1750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 17) + 18\/(-162) + (-86)\/(-18)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 652128 and 2016?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 9)*1\/3. Let j = 6 - 4. Let t be j + 0 - -3*2. Solve t = n*c + c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -91*x**2 + 26*x**2 + 37*x**2 + 27*x**2. Let b(r) = -4*r - r + 3*r. Calculate b(z(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/4)*o*o*o**(2\/9)*o\/(o\/(o*o\/(o*(o\/(o*o**1))\/o)))*o**7)**(1\/34) assuming o is positive.\nAnswer: o**(485\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 59055 * 47\nAnswer: 2775585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 5*n + 6. Determine z, given that -5*z**n + 5*z**4 - 3*z**2 + 3*z**3 - 2*z**4 - z**3 + 3*z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k*k**(-19))\/k*k))\/k*k**(-6))**(17\/5) assuming k is positive.\nAnswer: k**(221\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58.8 - 66. Let v = 1520052467.79999889 - 1520052475. Let y = v - w. What is y rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2338 + 19482 = 0. Let v = i - 11553. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16403298 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 109 (c) -30 (d) -2 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-94))\/(((-4)\/(-48))\/(112\/(-336))).\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - -75. What is the greatest common factor of 33 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-59)\/6 - (-20)\/60. Let p be (-1)\/(-2)*18*-1. Which is bigger: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.32 minus 10?\nAnswer: -14.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.483 times -17343?\nAnswer: -355236.669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97946115*z**2 - 347432429?\nAnswer: -195892230*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 890*k**2 - 2613*k**2 - 7*k - 4218*k**2 - 2170*k**2.\nAnswer: -8111*k**2 - 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfru when four letters picked without replacement from {s: 1, r: 1, u: 3, f: 4, t: 2, n: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14163*a + 6963*a + 7048*a.\nAnswer: -152*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 474885, 949694, 1424497, 1899288, 2374061, 2848810, 3323529, 3798212?\n\"Answer: -a**3 + 3*a**2 + 474807*a + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371 and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1427 (base 16) to base 4\nAnswer: -1100213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(52)\/sqrt(4) + -3.\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 2*r + 10. Let y(m) = -3*m - 23. Let n be y(-9). Let v be w(n). Sort -2, 0, v in increasing order.\nAnswer: -2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9214162637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1019548*n - 1019548*n + 39*n**2 to q*n**2 + g*n + v and give q.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 3510510.\nAnswer: -7021020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1226, -4923, -11092, -19733, -30846?\n\"Answer: -1236*b**2 + 11*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 9 = -0*s. What are the prime factors of (s - -5) + (-18)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37320 (base 8) to base 6.\nAnswer: -202240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3943000 rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s**2 - 7*s - 10. Let y = 77 + -81. Let u be (-3 - (2 - y)*-1)\/(-1). Calculate the remainder when z(u) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6084 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, -0.5, -0.01, -0.04307, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by 189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2, 1, 0.038 in increasing order.\nAnswer: -0.5, 0.038, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*f + 10. Suppose -f*l - 1456 = -10*l. List the prime factors of l.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 12*m**2 - 18*m - 44. Let i be x(-14). Suppose 6*j + i = 7*j - 4*z, 2349 = 4*j + z. Is 28 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kggegeke. Give prob of picking 1 e and 1 g.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 136, 822, 2374, 5134, 9444, 15646, 24082?\n\"Answer: 57*m**3 + 91*m**2 + 14*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123300 by 1370.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (7686\/378)\/((-2)\/(-78)) is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/9)\/((-9)\/(36\/8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20010210021 + 1212112?\nAnswer: 20012122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 19. Calculate the remainder when 12 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 7*o - 5. Let z be j(-8). Put 0, -3, -5, z in decreasing order.\nAnswer: z, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - -a?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcrbbbrrbrrbbbrbrb. Give prob of picking 2 b.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -11, -0.4, -4, -7 in ascending order.\nAnswer: -11, -7, -4, -0.4, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2200) - (sqrt(2200) + (sqrt(2200) - (2*sqrt(2200) - sqrt(2200)))*3 + sqrt(2200)))*-3)\/(-3*3*sqrt(2) - sqrt(16)\/(3*sqrt(8))).\nAnswer: -45*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**14)**5 assuming h is positive.\nAnswer: h**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 3*q = -5*f + 5, -4*q - 8 = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*g = 138 + 532 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -34.9. Let s = w - 8. What is the nearest to 0 in -5, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1672*w = -1681*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/5)\/n*n)\/(n**6\/n*n)*(n\/(n\/(n*(n*(n*n\/(n*n**(-2\/5)\/n*n)*n)\/n)\/n*n)))**(1\/18) assuming n is positive.\nAnswer: n**(-469\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 229*k + 3792. Calculate c(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-11 + 0 - (24 - 31)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 at least as big as -2\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 46127 + q + 2*q**2 + 46666.\nAnswer: 2*q**2 + 539","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 8:47 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 71 = -41. What is the common denominator of 2748\/897 - (13 + o) and -38\/3?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 13*d - 33. What is the tens digit of n(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/1735 + 27753\/12145. Let s = 144377\/7278 - 5\/1213. Find the common denominator of b and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2218486?\nAnswer: 2, 1109243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*((sqrt(243) + -2 - sqrt(243))**2 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -16, -v - s + 11283 = 3*s. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10981 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7322\/(-20397)*-6*(-3)\/(-42).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(133) - (sqrt(133) - 1*sqrt(133)))\/sqrt(7).\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/10)\/(6\/20). What are the prime factors of (6\/l)\/(6\/(-40))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -47*q - 21*q - 33*q - 126 + 52. Does 16 divide u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4877\/11 or -442?\nAnswer: -4877\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9191.\nAnswer: 7, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99705, 99703, 99701, 99699?\nAnswer: 99697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6*(1 + 44). Let n be -3*(-4)\/b*2. Let d be (-170)\/136 + (-2)\/(-8). Is d equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 4:25 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 5*z**2 - 2*z + 6. Let k be r(5). Calculate the remainder when 82 is divided by -4 - 46\/k*4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -28, 0.7, 2, -0.21?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 841 + -868. Put -5, -3, 3, p in decreasing order.\nAnswer: 3, -3, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*s**3)*(3 - 6 + 2) + 3*s**2 + s**3 - 3*s**2 + s**2 - s**2 - 3*s**3 + 2*s - 2*s + 18*s**3.\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/4)\/(24\/(-64)). Let n(m) = m**2 - m. Let y be n(w). Suppose 8*s + 124 = y*s. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5192 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**2 - 993*k - 2354 wrt k.\nAnswer: 4*k - 993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.05 - 0.05. Let j = 1.05 - d. Let x = j - 0.45. Is x bigger than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 12*o + 0*o**2 + 0*o**2 - 11 + o**2. Let q be l(-13). Suppose q*t + 1150 = -f + 287, 2162 = -5*t - 4*f. Round t to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 5*h + 2. Let w be z(-5). Suppose 21*n - 18*n + 108 = 0. Let t = 41 + n. Which is the third smallest value? (a) 4 (b) t (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23, -18, -1, 34, 93, 182, 307?\n\"Answer: f**3 - 2*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 22*z - 61. Is r(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 360696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 736 in increasing order.\nAnswer: 0, 2, 736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsisstbiibiisissut. What is prob of picking 1 t and 1 u?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 4:27 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 242264 (base 9) to base 5\nAnswer: 14133040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 106600000 rounded to the nearest 1000000?\nAnswer: 107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*o - 413, 5*j - 2*o - 625 = 70. Let i = 146 - j. What is the highest common factor of i and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 - -45. Let y be 8\/w - (-14)\/16. Which is the closest to 0.07? (a) y (b) -1\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 7\/907, 4, 19, 5, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 3*w - 12. Suppose -21 = -5*u - 1. Suppose 5 = -u*c + 5*c. What is the biggest value in w, c, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166383637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6875 = 2402*n + 19710 + 18391 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(4\/25))\/(r\/r**19))**(-14))**(-11\/6) assuming r is positive.\nAnswer: r**(36883\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**2 + m + 10. Let c(x) = -8*x**2 + 2*x + 29. Let o(l) = 6*c(l) - 17*w(l). Let z be o(3). Calculate the highest common factor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.39 + 0.68. Let n = 0.29 - z. Let b = -1.94 - -1.74. What is the nearest to n in 7, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27117 or -27118?\nAnswer: -27118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7177 by 20.\nAnswer: -7177\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + -10 + 1)\/((-2)\/3). Suppose -4*x + 2*f + h = 0, -3*x - 2*f - 5 = -1. What is the second smallest value in -5, 0.08, x?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 6517*a**2 + 11947*a**2 + 7350*a**2 + 1.\nAnswer: 12780*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 3*n**7\/455 - n**6\/156 - 2*n**5\/195 - 10*n**2 + 9. Factor t(f).\nAnswer: 2*f**2*(f - 1)*(9*f + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-3\/4))\/(t\/t**5))\/((t**(-8)\/t)\/(t**(-1\/3)\/t)) assuming t is positive.\nAnswer: t**(161\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 1:39 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-120)*4)\/(2\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 14*n + 7. Determine y(5).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**3 - 3*g**2 - 3*g. Let l(z) = z**2 + z + 1. What is h(y) + 4*l(y)?\nAnswer: -3*y**3 + y**2 + y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1602031050 to the nearest one hundred thousand.\nAnswer: 1602000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4 + 4 + 5 - f**2. Let h be z(-7). Let p = h - -75. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-184)\/(-3) + (-44)\/33. Calculate the greatest common divisor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**3 + 2*p**3 - 5*p**3)*(0 + 0 - p) - p**4 + 4*p**2 - 4*p**2 - 2*p**4 + 0*p**4 - 5*p**4 + p**4 - 6*p**4 + 26*p**4.\nAnswer: 11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsb when three letters picked without replacement from wbbswbwsbo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apfn when four letters picked without replacement from fjnap.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17147 is divided by 5453?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from munnnnnuununu. Give prob of picking 1 m and 2 u.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 53 (b) -2\/25 (c) 6\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9875 + -1.6881. Let y = 4.62 + j. What is y rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**3\/5 + 1329*t**2\/5 - 112812*t\/5 - 114144\/5 = 0?\nAnswer: -1, 116, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 37266, 37969, 39848, 43491, 49486?\n\"Answer: 98*d**3 + 17*d + 37151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/48*((0 - 0) + -6). Solve n + 14 = -3*i, 4*i - l*n - 9 = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4425.14 years to months.\nAnswer: 53101.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/11)\/s**0)\/(s**(-6)*((s\/(s*s*s**(2\/15)\/s))\/s)\/s)*(s**6\/(s\/s**3))\/((s*s*s**(-8))\/(s\/(s*s\/(s*s**(-5))*s))) assuming s is positive.\nAnswer: s**(2602\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*g - 3*k, 0*g + k + 1 = -g. Suppose s = -g*s - 96. What is the units digit of (-3)\/(-2 + (-39)\/s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -300 - 305 + 887 + 990*c - 282. Let s(r) = -7*r**2. Calculate d(s(p)).\nAnswer: -6930*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a decade in months?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 39. Suppose 0 = -2*j + y, 3*b = 2*j - j - 8. Let d(k) = 2*k**2 - 3*k - 2. What are the prime factors of d(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 0*h**2 - 4*h + 5\/6*h**3 + 0. Let t(i) = 15*i. Give v(t(x)).\nAnswer: 75*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31\/2 of a tonne?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 998651447.\nAnswer: 4639, 215273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 14207844.4131657?\nAnswer: 14207848.4131657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + o - 4. Let d(i) = i - 5. Calculate -2*d(r) + 3*k(r).\nAnswer: -3*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2403.4841*-0.5\nAnswer: -1201.74205","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 8:01 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 4*d**2 + 162 + 276*d**2 + 30. Let c(p) = -420*p**2 - 3*p - 288. Let r(j) = -5*c(j) - 8*v(j). What is the derivative of r(q) wrt q?\nAnswer: -280*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397 = -66*y - 67. Solve -5*i + 4 = n - 15, i = -y*n + 23 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.319? (a) -2\/5 (b) 65\/41 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 l, and 2 r when four letters picked without replacement from {l: 1, z: 1, r: 2, e: 2, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.54524 - 28.49. Round i to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.18498 hours in microseconds?\nAnswer: 191465928000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14926993, 14926980, 14926967, 14926954?\nAnswer: 14926941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-185 + 185 - 119*j**2)*(-4 + 1 + 1 + 0 + 0 + 3 + (0 + 2 - 4)*(-4 + 3 + 3)).\nAnswer: 357*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w**2 - 9*w - 12. Is a(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 12:06 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 2024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-32) + 402201\/72. Calculate the highest common factor of 735 and d.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -199105 times -0.2\nAnswer: 39821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b**2 - 13*b**3 - 5*b**3 + 4*b**3 to i + x*b**2 + d*b + g*b**3 and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -5419?\nAnswer: -86704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150706?\nAnswer: 2, 75353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8845345.\nAnswer: 5, 1769069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 1\/((-2)\/8). Let d(x) = -2 + 3 - 4 + 0 + 2*x. Give d(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98625862567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 226\/225 - 17\/75. Let z = -86\/3 - -467\/12. Calculate the common denominator of z and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -41.2. Let n = m + 8.2. What is the closest to -1 in 1, 3, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12, -26, -52, -96, -164?\n\"Answer: -b**3 - 7*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 10, -3, 0.2, 173, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 + -29. Let f(x) = x**2 + 4*x + 37. What is the least common multiple of f(-5) and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5318 times 28\nAnswer: -14.8904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -16 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2234699602 to the power of 1\/4, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2 - 3 + 3 - 2 + (3 - 2 - 2)*(3 + 1 - 2))*(-2666*d**2 - 2688*d**2 + 2 + 5399*d**2 + d).\nAnswer: -135*d**2 - 3*d - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*k + 496*k + 235*k - 1338*k.\nAnswer: -353*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 13*b + 2. Let i be m(-8). Suppose -3*d - 6 = -i. Solve t - d = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*15\/20 + -7. Solve a = -3*t - 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4831 + -4589. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 41345 + 4931 = 0. Suppose 5*q + 5*z = 14835, z - 4845 - g = -3*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 0*s - 3*s**3 + 0*s**2 + 1\/1620*s**6 + 1\/108*s**4 - 1\/270*s**5 + 6. Let b(d) be the third derivative of r(d). Factor b(h).\nAnswer: 2*(h - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Let s = -0.25 - -14.25. Let o = s - 14.2. Which is the nearest to j? (a) -0.3 (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alw when three letters picked without replacement from aaawl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1247875*l**3 + 6706*l - 1.\nAnswer: -7487250*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 2063, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 18*z + 3. Let k be (-34)\/(-4)*6*(-1)\/(-3). Suppose 8*i = -k - 31. What is the tens digit of s(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + ((-72)\/(-24) - (-2 + 86\/20))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -62580066?\nAnswer: 62580064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2646)\/11745*195 + 44?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**7\/840 + p**6\/360 - p**3\/2 + 2*p**2. Let g(c) be the first derivative of j(c). Find n, given that g(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0*i - i**2 - i**2 - 3*i**2 + 5*i. Let x(u) = -3*u**2 - 8*u + 4. Let l(y) = -66 - y**2 + 0*y - 2*y + 67. Let j(d) = 4*l(d) - x(d). Calculate m(j(f)).\nAnswer: -5*f**4 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10323 and 777.\nAnswer: 72261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 231 = -5*p, -p + 5*a - 8*a + 55 = 0. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 5456.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*q + 3 = -2, 0 = 2*f - 5*q - 19. Let l = 113 - 109. Suppose 0 = -17*d - l*d. Put f, -2, d, 4 in descending order.\nAnswer: 4, d, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1260402033113 and 0?\nAnswer: 1260402033113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 0*u**2 + 9*u**2 + 9*u**2.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 1. Suppose 2*u = 2*t - 35 + 9, -u + 37 = 4*t. Suppose k + 3*k + t = -3*z, 0 = -2*z - 4*k - 8. Determine b(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 26) + 15 - (-8 + 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 0. Let g(s) = s**2 - 3*s + 1. What are the prime factors of g(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.615 and 0.2?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 4*k + 3. Let h be y(0). Let p(n) = n**2 - n + 6. Let j be p(0). Let f be (-8)\/j*4*-3. Solve 5*l - r + f = 0, -5*l - 28 = h*r + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -16 + 0 + -1 + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 11. Let j be b(-8). Suppose k + j*k = 16. Solve u - 14 = -3*i, -3*i = -i - 2*u + k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -806\/1075 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 72*w. Let k(m) = -4228889*m**2. Give b(k(o)).\nAnswer: -304480008*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-2*j**2 - 2*j**2 + 2*j**2) - 4 + j**2 + 4 + (-2*j + 0*j + 4*j)*(j + 2*j - j) - 251*j**2 - 339*j**2 + 254*j**2.\nAnswer: -333*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.241376l in millilitres?\nAnswer: 5241.376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/7))**(-16)\/(h**(-2)*h**(2\/5)))\/((h*h**(-2)*h*h)**(-2\/113)*h**(-1)\/(h**(1\/3)\/h*h)) assuming h is positive.\nAnswer: h**(-209066\/11865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 23*l + 33. Let b be v(10). Suppose 4*y = b*n + 1, -n = -4*y + 3*y. Which is smaller: n or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1201?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/3 - (-2)\/(-6))*-110. Is 13 a factor of (-574)\/(-11) - 20\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 18*t**2 - 22*t - 28. Determine j(-19).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 3*f - 36. What is the units digit of -2 + (3 + -182)\/(f - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**5 - 2814512*b**2 + 45792*b - 1047 wrt b.\nAnswer: -40*b**3 - 5629024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 3:40 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24, 70, 116?\n\"Answer: 46*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 921.274 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(2\/(-5))*(-7048)\/(-10). Let d = -488 - u. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 915202 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-6*4*sqrt(588))\/sqrt(12))\/(-3*sqrt(35)\/sqrt(5) + sqrt(56)\/(sqrt(8)*-2)) + 4.\nAnswer: 48*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*k + j = -173*k - 10, 5*j + 65 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g**3 + 21*g**2 + 12*g + 12. Let v(r) = r**3 - r**2 + r. Let u(p) = -o(p) - 5*v(p). Let y be u(17). Is 25\/4 - (-3)\/y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -5*x**2\/2 - 3*x - 1. Let z(v) = 64*v + 40. Let c(p) = -40*q(p) - 3*z(p). Let y(j) = 2*j. Give y(c(b)).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5870 - -5873.153. What is n rounded to 1 decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 5, 6 in ascending order.\nAnswer: -6, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 44*v**2 + 2*v - 5. Is q(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1258, 5, 2, 1 in descending order.\nAnswer: 1258, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (98 - (-47 - -45) - -6).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -35*c + 3. Let q(l) = -l**3 - 16*l**2 + l + 13. Let f be q(-16). Is 27 a factor of r(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.728 and 91865.62.\nAnswer: 91866.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4073*l**3 + l**2 + 7*l - 1. Let r be j(3). Round r to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 234 - 199. What is the lowest common multiple of l and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -39*v**2 + 6*v - 1. Let g(j) = 77*j**2 - 13*j + 2. Give 3*g(f) + 7*o(f).\nAnswer: -42*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 529174379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -84528, -84847, -85378, -86121, -87076?\n\"Answer: -106*k**2 - k - 84421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -224829.45 to the nearest one hundred.\nAnswer: -224800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3463.9998603 + 3464. What is l rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4777493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -533 + 7702 = 67*z. What is the remainder when 524 is divided by z?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(28))\/sqrt(7))\/(-1*sqrt(18) + 1*-2*sqrt(2)).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 110 = -2*y + 2640, -2*q + 3*y + 1119 = 0. What are the prime factors of q?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*(sqrt(405) + sqrt(405)*-1) - (5*sqrt(10)\/sqrt(2) - sqrt(245)*-3))**2*-4.\nAnswer: -13620 - 1040*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o - o**3 + 26 + 22 + 2*o**2 - 52 - 8*o + 5*o**2. Calculate t(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756 - 488 = 67*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*l**2 + 36*l**2 - 89*l**2 - 106*l + 11*l**2.\nAnswer: 2*l**2 - 106*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-20)\/(-140)*3*(-2)\/(-10).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 9:30 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 241*h**3 + h**4 - 2*h**4 - 245*h**3 + 2 + 2*h**2 + 0 to z*h**4 + u*h + j*h**2 + w + v*h**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 304\/56 - 6\/14. Solve l + 5 = j + 2, -4*l - f*j - 30 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15432 divided by -3858\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27)\/12*6320\/(-30). Let h = 766 - b. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1149535 and 13410.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -26689, -54055, -81421, -108787, -136153, -163519?\n\"Answer: -27366*i + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4201?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(66) + -1*sqrt(66))\/sqrt(6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 + 5*d - 4. Let p = 46 + -40. Let w(z) = 4*z**2 + 3*z + 11. Let j(b) = -3*b - 1. Let y(h) = 4*j(h) + w(h). Determine p*y(i) + 11*a(i).\nAnswer: 2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 4:23 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 1:39 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50568 and 10878.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 11\/3 (c) -4 (d) -12 (e) 0.5 (f) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 46259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9315 divide 42467085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 9487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 29 = 3*y - 1, -3*m = y - 8. Let i = y + -6. Suppose 2*a - 10 - 7 = -5*h, -i*a + 8 = h. Let k(x) = -x**2 + 2*x + 1. Calculate k(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 823\/10699 - (48\/26)\/(-2). Let w = 0.5 - 0.3. Which is the second biggest value? (a) u (b) -6 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 38*d**2 + 3*d - 809*d**2)*(6*d + 3*d + d + (-d - 2 + 2)*(0 + 2 - 3)) to t*d**2 + s*d + b*d**3 + y and give b.\nAnswer: -8481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 - 0.1. Let b = 0.14 + c. Let g = b - 0.1. What is the second biggest value in g, 0.1, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 41 in ascending order.\nAnswer: 4, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-100)\/250)\/(((-7)\/60)\/7). Is -9 + w\/6 - -3*6100 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24759, -98928, -222513, -395514, -617931, -889764, -1211013?\n\"Answer: -24708*x**2 - 45*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 - 7*o - 2. Let v(j) = -20*j - 5 - 7*j**2 + 6*j**2 - 9*j**2. Let y(z) = 7*t(z) - 2*v(z). What is the units digit of y(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -36902\/3, 0.2, 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -61\/1636, -5, 4\/9, 3, -2, -1\/4 in increasing order.\nAnswer: -5, -2, -1\/4, -61\/1636, 4\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 55302 = -3*r, 2*k - 17877 = 3*r + 18998. What are the prime factors of k?\nAnswer: 18427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13491?\nAnswer: 3, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4115*j**3 - 4320*j**2 - 50510001*j wrt j?\nAnswer: 24690*j - 8640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o + 19. Let l be j(8). Solve 26 = -l*d + 4*z, -z + 4*z - 11 = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*d + 189*d**2 + 16*d - 16*d**2 + 19*d.\nAnswer: 173*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(0*t + 0*t + t) + 5*t - t - 5*t - 237*t - 188*t + 300*t + 2*t + t - 4*t to the form r*t + n and give r.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/37 in 1, 0, -131, 6, 3, -4\/49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1018\/9 + 113. Let h = 324 + -323. Let r = -0.06 + 0.56. What is the second smallest value in r, x, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18992, 37936, 56880?\nAnswer: 75824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -19*h**6\/3 - 11*h**2\/2 + 8. Find the second derivative of b(i) wrt i.\nAnswer: -760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 4*n + 3*k - 17, -3*n - 3*k = -9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -31a387?\nAnswer: -31a38b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48)\/27 + 5 + 4\/(-18). Let k(h) = -9*h - 3. Let m be k(-2). Suppose z*x = 384 + m. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58830?\nAnswer: 2, 3, 5, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000353468 rounded to five decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7))**39\/(h\/(h\/((h*h\/((h\/(h\/h**5))\/h))\/h))*h*h*h\/((h**(-7)\/h)\/h)))\/(h**3\/h**3*(h*(h**(1\/4)\/h)\/h*h)\/h*h*h**(-7)) assuming h is positive.\nAnswer: h**(249\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 1221732.20287?\nAnswer: -1221732.60287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2\/521, 1\/2, -0.01, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/4)\/(158\/1371756) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -167, -324, -479, -632, -783, -932?\n\"Answer: o**2 - 160*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j - 8. Let o be z(4). Let a = o + -32. Factor 1\/3*r**5 + 0 - 1\/3*r**3 + 0*r + 1\/3*r**2 - 1\/3*r**a.\nAnswer: r**2*(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.7 + 0.7. Let g = 1.000000504 + c. What is g rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644440153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -52241, -52238, -52233, -52226, -52217, -52206?\n\"Answer: k**2 - 52242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-7) - (-93)\/217. Sort 5, b, -3, 3.\nAnswer: -3, b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -476877 and -0.193.\nAnswer: -476877.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*h - 15 - 8 + 41 - 18*h - 19.\nAnswer: -57*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 6. Let p(y) = 28*y**2 + 52*y + 12. Let r(v) = v**2 + 1. Let m(j) = l*p(j) + 12*r(j). What is the second derivative of m(w) wrt w?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5\/2 + 561*o**4 + 62649*o**3 + 1935624*o**2 + 45438195*o\/2 + 91113363 = 0. Calculate o.\nAnswer: -167, -18, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 20*x**2 + 17*x - 61. What is g(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 2*s - 435 = -5*t, -2*s = 4*t - 168. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 2*r**2 + 3*r + 136. Let m = -6 - -3. Give b(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198564*h**2 + 3*h + 1689171*h**2 + 2 - 3*h.\nAnswer: 1887735*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -405, -909, -1615, -2523?\nAnswer: -3633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*n = -145*n + 1473 - 5145 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.935705m in kilometers?\nAnswer: 0.009935705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6394 = -82*v - 818. Solve 4*a = v*t - 67*t + 12, -4*a = 2*t - 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9821*g**2 + 6*g + 9819*g**2 - 19613*g**2.\nAnswer: 27*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -154487 * -0.055\nAnswer: 8496.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -261 - -261.3. Which is the closest to -0.2? (a) 1\/4 (b) -2\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 1:24 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 58 - -3751\nAnswer: 3809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(8\/5)*x*x**(-11)\/x)\/((x\/((x*x\/(x*x*x\/((x*((x\/x**5)\/x*x)\/x)\/x*x*x))*x)\/x*x))\/x*x*x*x*x**(8\/3)) assuming x is positive.\nAnswer: x**(-271\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162313192.\nAnswer: 2, 61, 131, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 34 = -2*m, 2*r - 2*m - 2 - 12 = 0. Let j = -13 + r. Let n be (-30)\/21*21\/(3*j). Solve v - 3*v = q + n, 0 = -2*q - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**5\/90 - 5*m**4\/54 - 8*m**3\/27 - 4*m**2\/9 - 12*m. Suppose i(h) = 0. Calculate h.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1311 (base 4) to base 10\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4 - 24*b**3 - 40*b**2 = 0?\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84255042?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j. Let q(z) = -2*z**2 - 5*z. Let h(n) = q(n) - 5*x(n). Let g(y) be the second derivative of -5*y + 1\/3*y**3 + 0 + 0*y**2. Calculate h(g(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 74110.\nAnswer: -74110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + v + 4*v = 15, 30 = -2*s + 5*v. Let w = s + 7. Suppose 1\/5*k - 1\/5*k**w + 0 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 258 - 181. Let t = 74 - b. What is the third biggest value in t, 5, 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8686189619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10443*v**2 + 10434*v**2 - 20887*v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205, -403, -597, -787, -973?\nAnswer: -1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/56 and (-788)\/504*-3 + 2\/(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*h + 313*h**2 - 61*h.\nAnswer: 313*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.37349 (b) -8\/17 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3212323 (base 4) to base 8\nAnswer: 34673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**1*r*r)*r\/(r\/(r**6\/r*r)) assuming r is positive.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 65. Let g be a(-43). Is (-284242)\/g*6\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**5 - m**3 + 2*m. Let w(j) = -3*j**5 - 134*j**3 - 15*j**2 - 10*j + 3. Let o(x) = -w(x) - 5*y(x). Find the third derivative of o(s) wrt s.\nAnswer: -120*s**2 + 834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -241d - 2?\nAnswer: -2420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.4736 + 3.5264. What is the nearest to -7 in -2\/13, z, 1\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -33, 0.6, 520?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 + (-33)\/44*12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4cb + 8?\nAnswer: -4c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - g**2 - 3. Let b(c) = 355*c**3 - 6*c**2 - 18. Give -6*a(y) + b(y).\nAnswer: 367*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110\/181 - 32\/543. Let y = -0.38 + -0.02. Which is the second smallest value? (a) 1.2 (b) y (c) 1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f**7*f)*f)\/(f*f*f*f**(-1\/2)))\/((f*f**5)\/f**(-1)))\/((f**(-1\/2))**(-32))**1 assuming f is positive.\nAnswer: f**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10764*x - 4256*x - 6510*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 3*j - 8*j)*(-3*j + 3*j - j + (-9 + 9 - j)*(1 + 1 + 0) + (0*j + 3*j - 6*j)*(1 - 1 - 3)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + (-164)\/6. Let i = 32 + h. Solve 4*b = -2*f - 22, i*f - 3*b - 20 = 2*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34308.1 + 22921. What is r rounded to the nearest ten?\nAnswer: -11390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 194 and 13871.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = n + 1. Let v(o) = o**2 + 9*o + 5. Is v(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**4 + 4*d**3 + 148*d**2 + 4572*d wrt d.\nAnswer: -12*d**2 + 24*d + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6062597564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19346587 to the nearest integer?\nAnswer: 4398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -96\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-15)*-1*(-4)\/(-4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 1852 = -4*l. Let f(c) = -c**3 - c + 4. Let s be f(0). Suppose -5*y + l = s*r, 3*r - y - 330 = 3*y. List the prime factors of r.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -325 - -340. What is the second derivative of -7*t - 226*t - 102*t - z*t**3 - 8*t**2 wrt t?\nAnswer: -90*t - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 21\/(-9))*1\/12.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2. Let s(q) = 13200 - 10725*q - 3175*q - 13200. Determine s(w(k)).\nAnswer: 13900*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**4\/4 + 7357595*n**3\/2 - 18044735954274*n**2 + 59007068509029093477*n\/2 - 118014064839129085047\/4 = 0.\nAnswer: 1, 4905063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2968.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 4 - 4)*(16*x**2 + 21 + 18*x**2 - 41 + 20) to s + a*x + t*x**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 998*x = -23*z + 28*z + 996*x - 237, -2*z + 95 = -x for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 9:12 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + -2)*-1)**2.\nAnswer: -28*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 24 - 47 = z, 2*z + 116 = 3*j. Let x = -33 - z. What is the remainder when x is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13*l + 116. Let r be g(27). Let j = -138 + r. List the prime factors of j.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7947)\/(-27))\/(((-2)\/24)\/(-1)).\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 4. Determine o(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 398 + -3387a?\nAnswer: -334a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -36*t + 14. Let b(j) = -j**2 - 26*j - 1. Let m(n) = b(n) - r(n). Determine m(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 15. Let h(i) be the second derivative of i**5\/20 - i**4\/2 + i**3\/6 - 4*i**2 + 5*i. Give h(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431662 to the power of 1\/2, to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 8:20 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, 1, -5, -30 in decreasing order.\nAnswer: 8, 2, 1, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k - 4*k)*((-3 + 2 + 2)*(-2*k - k + 2*k) + 3*k - 6*k + 2*k + 3 - 2*k - 3).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -59. Let i(t) = t**2 - t - 1. Let y be i(3). Let n be -250000*5\/(y\/k). Round n to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -677*z**6 - 15*z**5 + 2*z**2 - 572*z + 5 wrt z.\nAnswer: -81240*z**3 - 900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6306 divided by 2102?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7243535 + -715.\nAnswer: 7242820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3\/3 - 793*p**2\/3 + p\/3 + 793\/3 = 0. Calculate p.\nAnswer: -793, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2847 is divided by 236.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + y**4 + 1 + y**4 + 24*y**3 - 24*y**3 + (3*y**4 + y**4 - 2*y**4)*(2 + 0 - 1) + 0*y**3 + 0*y**3 + y**4 + 2*y**4 + y**4 - 4*y**4.\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/12 + ((-35)\/(-15) - 2) + 75255\/(-3460)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 0.4?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78 - 83*d**2 - 39 - 39 + 113*d wrt d?\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 5:08 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5651 a factor of 476164562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 66, 40, -58, -252, -566, -1024?\nAnswer: -1650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2581 * -2.8\nAnswer: 7226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d - 1804 = 9*d. What is the highest common factor of 574 and d?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 15545*w**2 - 135*w - 37. Is b(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 r when three letters picked without replacement from fysgcggsscry?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1914*m - 145*m - 357*m + 65640 = 318*m for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 times -1.404?\nAnswer: -213.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*n - 31*n - 9238. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14785?\nAnswer: 5, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.32 or -1\/1336?\nAnswer: -1\/1336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 600328 by 300164.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-147)\/(-7)*(-6)\/(-7). Suppose -3*v + k = -12*v. What is the remainder when 71 is divided by (1\/(-4)*-50)\/(v\/(-4))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 + -2 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 52298406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by 5.\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123266 is divided by 61317.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9*t**2 + 2*t - 1. Let s(d) = -5*d - 157. Let f be s(-32). Let i(j) = -10*j**2 + 3*j - 1. Give f*w(q) - 2*i(q).\nAnswer: -7*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 10. Suppose -2*z - 5 = -u. Solve 0*h - 16 = -z*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*d + 9. Let b = d - 10. What is the greatest common divisor of b and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-29 - -38 - (5 + 38))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b = 0. Suppose 3*h = -b*h + 12. What is the units digit of 168\/9 - h\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -22, 31, 53 in ascending order.\nAnswer: -22, -5, 0, 31, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/7)*r*(r\/r**(-1))\/r)**(2\/9) assuming r is positive.\nAnswer: r**(22\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -1. Suppose -8 = -2*b, -4*f - b - c = b. Let u = -12 - f. Sort u, 2, 0.\nAnswer: u, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14605781 and 43619.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q + 96. Calculate l(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*l - 3*l + 1538 = 0, 2*l - 8 = 0. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-36))\/((-15)\/25*-5).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*z + 922 = 4*n, 3*n - 1379 = 4*z. Let d = n + -317. Suppose -5*m = -f + d, -2*m = -3*m. Calculate the remainder when f is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 5*t + 0 + 0*t**2 - 1\/18*t**4 + 2\/3*t**3 - 1\/36*t**5 + 7\/540*t**6. Let m(s) be the second derivative of l(s). Factor m(x).\nAnswer: 2*(x - 1)*(7*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-12))\/((-1)\/6). Let a be -5 + 5 + f\/1. Let h = -0.08 - 0.22. Sort h, a, 5.\nAnswer: h, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (1 - (1 - -6)). Suppose -4*c + f*c = 24. Suppose 0 = -4*s - 2*m - m + c, 0 = -s + m + 6. Solve 2*b - s*b + 8 = -k, -2*k = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34887363 to the nearest integer?\nAnswer: 5907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 421200?\nAnswer: 421164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 10. Let o(l) = -2*l - 3 - l - 6. Let u(f) = 1. Let j(c) = r*u(c) - o(c). What is j(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-2)*(-8)\/(-20). Calculate the common denominator of 414\/4*w\/6 and 121\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a - 9. Let j be s(-7). Let y = 86 - j. Suppose d - 2*r = r + 39, 3*r - y = -2*d. Calculate the greatest common factor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 x when three letters picked without replacement from vxxxxxvvxxxxxxx.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27.8 - 27.83. Which is greater: k or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124\/561 or 1?\nAnswer: 124\/561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = 2*q, -4*j + 5*q + 327 = 0. Suppose -5*z + j = -3*u, -22 = -2*z - 3*u + 7*u. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100011110110 (base 2) to base 7\nAnswer: -24426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2768, 2757, 2746?\n\"Answer: -11*d + 2779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((1076\/5)\/2)\/((-6)\/(-15)). Suppose 4*u + d = 701. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4560?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/756*-8 - 4668\/2592.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o - 27. Let s be f(-11). Suppose 0 = 4*c - 2*c - s. Suppose -v = -2*v + c. Calculate the remainder when 10 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*a + 9 = 0, -7*v = -3*v - 2*a - 30. Suppose -v*f = -f - 1488. Does 40 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 3*t - 4. Let d be k(3). Let z = -1.08 - -1.7. Let x = z + -0.68. Sort -0.3, x, d in descending order.\nAnswer: x, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17)\/68 - (-9)\/4. What is the remainder when 2\/3 - 228\/(-9) is divided by 1 + (x - 1) - -11 - -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.7733996 nanoseconds?\nAnswer: 0.00000000002955666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 581.603683 + -581.6. What is g rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24.1 - 24.4. Which is the closest to 2? (a) -3\/5 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**16\/(k\/(k*k\/(k\/k**(4\/7)))))\/((k*k\/(k\/(k**2*k*k)))\/k)**(5\/8) assuming k is positive.\nAnswer: k**(197\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 11:30 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -352*u**3 + 4*u - 247 wrt u.\nAnswer: -2112*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 0. Suppose -3*q - 11 = j + 3*j, -y = -3*j + 4*q. What are the prime factors of j\/4 + 71\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9715654519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*o + 9*o - 9*o)*(-1 + 0 - 4 + 3) to t*o + n and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32 + 7 + 11 - 10 + 6*n**3 - 20*n**3 - 96*n - 150*n**2.\nAnswer: -2*(n + 1)*(n + 10)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 365513 + 22?\nAnswer: 365535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -16*y - 2. Suppose m - 5*b = 3*m + 31, 5*b = -m - 28. Let k be t(m). Let l = -23 + k. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 8 = 4*u, 2*y = 4*u + 3 + 5. Suppose -3*r = k - 1, -5*r - 2*k + 3 = 1. Let l = r + y. Solve l = v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 779192 a multiple of 1220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 546?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8497289274.\nAnswer: 2, 3, 27847, 50857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 8*d + 4. Let p(h) = -19*h - 10. Let r(w) = 5*a(w) + 2*p(w). Let x(o) = 2*o**2 + 212. Determine x(r(v)).\nAnswer: 8*v**2 + 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 2*b - 1. Suppose 9*s + 0*s = -567. Let h be (-24)\/(-14) - (-3)\/(s\/(-6)). Determine t(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 30*y**2 - 21*y - 21. Let w be 1\/4 + 63\/(-28). Let m(u) = -3*u**2 + 2*u + 2. Calculate w*j(c) - 21*m(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 187 + -3?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18150 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -8. What is the closest to v in -2, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 + 27 + 42 - 80 - f**2 to r*f + v*f**2 + o and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 153178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**2 - 2*c + 1. Let b be q(1). Solve -4*p + 3*y - 4 = -16, -3*y + 15 = b*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 2. Let y = -7 - -7. Let j be i(y). Solve c = 1 + j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2\/2 + 1376*m + 946688 = 0. Calculate m.\nAnswer: -1376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.4, 0.3, 0.5, 167541?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - l + 12. Suppose -4*w + 2*w + l = 0. What is p in -1 - 12*p**w + 0*p**2 + 11*p**2 + 2*p = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 - 31446*j + 125806. Calculate q(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 14 = -3*a, -3636*z - 11 = -3631*z + 2*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/4)\/((-63)\/24 + 6). Which is the biggest value? (a) g (b) -8 (c) 0.1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*d + 533*d + 10 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.9 - -0.1. Let x = -4 - -6. Which is the third biggest value? (a) f (b) x (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9\/5, 4\/3, 0.3, -3\/7 in ascending order.\nAnswer: -2, -3\/7, 0.3, 4\/3, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/13)\/((-20)\/(-13))*4. Let t(m) be the first derivative of 17 + 0*m**4 - v*m**5 + 2*m**2 + 0*m + 0*m**3. What is the second derivative of t(l) wrt l?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + g = -7, -9*g + 10 = 2*l - 10*g. Solve -l*x + 12 = -x + 2*f, -23 = 2*x - 5*f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + 27. Let f = z - 45. Solve 3*s - 19 + f = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 13 - (4 + (1 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -4\/5 (c) 3 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + g**2 - 3*g**3 + 6 + 3*g**3. Let t be f(0). Let n be (-1 - -2)*(-4)\/(-1). Calculate the greatest common divisor of n and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/14*(-9)\/10)\/(6\/(-5)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95518 - -2102041\/22. Let z = o - -6953\/66. Let f = z - 136. Which is bigger: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4163 - -4168. Solve v*s - 10*b + 15*b = 0, 2*s = 5*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669*v + 3976*v = 17*v - 4967*v + 86355 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*t + 25, 4*q + t + 29 = 6*q. What is the remainder when 43 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006324986011 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 293\/2310 + 1\/154. Let -2\/15*m**2 + 4\/15*m - v = 0. What is m?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -172.9?\nAnswer: 17.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -693 (base 15) to base 16\nAnswer: -5d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + m**2 - 16*m - 22. Let w(c) = -c**3 - c**2 + 16*c + 23. Let q(a) = -6*f(a) - 5*w(a). What is the remainder when q(-8) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f - 45. Let j be q(6). Suppose 5*k - j = 3*o, -o - 6 = -2*k - 3*o. Which is the third smallest value? (a) 0.1 (b) -3\/8 (c) -5 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*l + l - 2*v, 3*l - 11 = 5*v. Suppose 0 = -l*z - r + 34, 4*r - r + 78 = 4*z. Let o = -15 - -17. What is the smallest common multiple of o and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.32519km in micrometers?\nAnswer: 53325190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214 (base 9) to base 7.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**4\/3 + 102*n**3 - 3634*n**2 + 113206*n\/3 = 0 for n.\nAnswer: 0, 23, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**5 - 740*r**4 - 2196*r**3 - 2188*r**2 - 728*r.\nAnswer: -4*r*(r + 1)**3*(r + 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-9) - -3) + (59 - 25228\/420).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.185 and -416.105261.\nAnswer: -416.290261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24a6977 - -2?\nAnswer: -24a6975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*(sqrt(343) + -1))**2.\nAnswer: -8064*sqrt(7) + 198144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woww when four letters picked without replacement from {o: 11, w: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 15*t. Let g(r) = r - 1. Let s be g(2). Determine m(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91120 rounded to the nearest 1000?\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5857\/11 - -532. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129610\/90 + 30\/(-27)?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**3 - 2 + 2*x**3 - 28*x**3.\nAnswer: -37*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 38 = 12*z + 2*k, -4*z + 4*k + 36 = 0. Suppose -z*d + 60114 = -11350. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*f + 24*f + 19*f - f + 0*f - f - 3 + 3 + 2*f + (-3*f + 4*f + 0*f)*(5 + 2 - 5) + 3*f - 3*f - f + 4*f + 0*f - 2*f.\nAnswer: 29*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - 4*q**2 + 7*q**2 + (q - 2*q + 0*q)*(-3*q + q + q) + (0*q + 2*q - 3*q)*(-2*q - q + q) - 25*q**2 + 3*q**2 - 3*q**2.\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7747805 divided by 6\nAnswer: -7747805\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 16*a + 16. Let r be k(12). Let o = 18 + r. Let h be 4\/o + 20\/119. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l - 11 + 7)*(5*l + l - 4*l) + (-2 + 2 - l**2)*(0 - 1 + 3).\nAnswer: -4*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 114634 divided by 11\nAnswer: 114634\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 486.3015 millilitres?\nAnswer: 0.4863015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 21*p + 404. Give o(-11).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 1. Suppose 0 = 3*g - 1 + 10. Let x be o(g). Find the first derivative of -3 + 2 + 0*k**2 - 2*k**x wrt k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 35938.\nAnswer: 143752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177 + 2*r - 74 + 251.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 11*l - 17. Let v(d) = -5*d + 8. Let q(o) = 6*h(o) + 13*v(o). Let f(x) = -3*x - 7. Give -4*f(i) - 14*q(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((-38)\/(-6) - 7\/21). Let t(x) = 2*x + 6*x + 0*x + i - 7*x. What is t(-14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 21\/4)*((-97 - -37) + 44)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26, -33, -44, -59, -78, -101?\n\"Answer: -2*w**2 - w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * 66\nAnswer: -85.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*u**3 - 11*u - 17*u + 29*u)*(222*u**2 + 221*u**2 + 109*u**2).\nAnswer: 13800*u**5 + 552*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 163*j**2 + 2710*j + 595. Calculate b(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/11*j - 1\/11*j**2 + 25\/11.\nAnswer: -(j - 1)*(j + 25)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**3 - 4*q**2 + q - 13. Let o be p(5). What is o rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1233288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdd. What is prob of sequence hd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 1246.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w. Suppose -y + 5 = h + 2*y, 5*h - 4*y + 13 = 0. Let b be k(h). Let g be b*(0 + -3 - -2). Are -6\/11 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1 - (-10 + 25)) + 7 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102840 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 66 = -2*r. Let g = r - 31. Let t(p) = -2*p + 0*p + 4*p - 4 - p**2 + 0*p**g. Calculate t(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/20 and -35\/18468896?\nAnswer: 92344480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6588 + 6586. Let j(r) = -r + 70. Let z(l) = -35. Calculate w*j(y) - 5*z(y).\nAnswer: 2*y + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.031, 0.006, 2\/35 in descending order.\nAnswer: 2\/35, 0.006, -0.031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 - 17*p + 11. Let x(h) = 8*h + 0 - 4 + 6*h**2 - 7*h**2 - 2*h. Calculate -6*j(w) - 17*x(w).\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1 - 0)\/(22\/(-220)) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 98\/3*(-5)\/(70\/(-36)). Calculate the greatest common divisor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840350429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2687692 to the power of 1\/2, to the nearest integer?\nAnswer: 1639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.5 (b) 1 (c) 8985 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwpwrww. Give prob of picking 3 w.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-62)\/9*12\/(-24)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -46, -82, -120, -160, -202?\n\"Answer: -t**2 - 33*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4452)\/318*(-9)\/(-6)*13\/3\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19744573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 994*s + 1054 = 19940 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/10 and -42\/295?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4644 = 291*m - 280 - 896. What is the lowest common multiple of m and (-6)\/4*(-60)\/9?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4589 + -4582. Calculate the remainder when 74 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 5*s - 20. Suppose s*k = 3*k + 19. Let u = k - 9. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 0, 1 in descending order.\nAnswer: 3, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440439246?\nAnswer: 2, 3, 13, 181, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -306 in 3\/5, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -580 + 1689. What are the prime factors of v?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**5\/20 - 3*w**4\/8 - w**3\/3 + 3*w**2. Let t = 0 - 8. Let d(g) = 4*g**2 - 14*g - 3. Let h(m) = t*j(m) + 5*d(m). Give h(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 3\/8 (c) 2 (d) -4 (e) -36212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 366?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w - 26. Let n(s) = 2*s**2 + s + 9. Let t be n(0). Calculate the least common multiple of 2 and c(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138609.697 rounded to the nearest one hundred?\nAnswer: -138600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7787046ns in milliseconds?\nAnswer: 0.0000007787046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + (-2*sqrt(1331) + -1 - (sqrt(1331) - -5*(sqrt(1331) - (sqrt(1331) + 0 - sqrt(1331) - sqrt(1331))) - sqrt(1331))**2)*3.\nAnswer: -399302 - 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51419 is divided by 6424.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1363 (base 13) to base 15\nAnswer: -c5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**3 + 0*j**3 + j**3 + 3*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 599.1 times -0.1?\nAnswer: -59.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*z + 5*y - 7, 2*z - 5*y = -9. Let u(j) = -j**3 + 4 + 6*j - 4*j - z. Calculate u(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450 = -6*d - 468 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5408\/3? (a) 0.58 (b) -4 (c) 36\/11 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5 + 0*j**2 + 9 + 9*j**2 + 2. Let l(a) be the second derivative of a**4\/3 + 3*a**2\/2 - a. Let d(n) = 6*g(n) - 13*l(n). Differentiate d(c) wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184936 and 536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 6*n. Let a(v) = v**2 - v. Give -3*a(u) - j(u).\nAnswer: -u**2 + 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 219\/4 - (-120)\/96. Calculate the greatest common factor of 644 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2393*y**3 + 664*y**6 - 662*y**6 + 1509*y**3 - y**4 - 2830*y**2 wrt y?\nAnswer: 240*y**3 - 24*y + 23412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37.692753 and -505695.\nAnswer: -505657.307247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 96*z**2. Let a(c) be the second derivative of -c**3\/3 - 16*c - 1. What is a(g(f))?\nAnswer: -192*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.1, 17, -1, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2112 + -1485. Calculate the highest common factor of 99 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1050 + 1203. What is the remainder when 269 is divided by j?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31865, -34733, -37601?\nAnswer: -40469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2132*l + 167. Is x(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3105)\/(-138)*-1*12\/(-27)*1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -90, -99, -112, -129?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - ((sqrt(1900) - sqrt(1900)*-2) + -2))**2.\nAnswer: -80*sqrt(19) + 7604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3421 = -2324. Suppose 9363 + a = 9*k. What are the prime factors of k?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 3 - 4*j**3 + 3*j**2 - 3*j**2.\nAnswer: -4*j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + r**2 + 12*r + 3. Determine t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -816*y + 814*y + 6 = 0. Let m(l) = -10*l. Let g be m(-2). Solve -b + g = y*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13900 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*r = 8, 5*y - r - 2*r = 18. Solve -l + y*l + 20 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (48*u - 10 + 10 + 26*u)*(0*u**2 - 2*u**2 - u**2) in the form z + v*u**3 + m*u**2 + a*u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(10\/135).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/11 and -27\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -2*g**3\/3 - 193. Let f(d) = -3*d. What is l(f(w))?\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 10*g**2 - 14*g + 2. Let f be p(-11). Let k be ((-10)\/f)\/(2\/(-28)). Let v be (1*2 - -1)*8. Solve k*m + 4 = t + v, m = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {z: 8, m: 1, k: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/20 and -129\/26260?\nAnswer: 26260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/16460 and 41\/487216?\nAnswer: 2436080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1407*c**3 - 42*c**2 + 5937261*c?\nAnswer: -8442*c - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561456.\nAnswer: 2, 3, 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 100000001011000010?\nAnswer: 100000001011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583*b - 80 = 579*b. What is the second derivative of 25 - 4*m**2 + 9*m**5 - b*m**5 + 4*m**2 + 164*m**5 + 2*m wrt m?\nAnswer: 3060*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/243 and 113\/149553054?\nAnswer: 448659162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 194548336?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 15. Suppose -4 = -i - i. Let s = 19\/2 + -8. Which is the third biggest value? (a) s (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 252 = 4*l. Let j = 66 - 92. Let k = 45 + j. What is the remainder when l is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*g**3*o**2*w + 2*g**3*o*w**2 - 7*g**3*w - 155623*g**2*o**2*w**2 - 6*g**2*o*w**2 - 17*g**2 + 6*g*o*w - 4*w wrt o?\nAnswer: -14*g**3*w - 311246*g**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204555607 and 1129?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*((-6084)\/(-13))\/(-26)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 14*y**2 - 17*y + 3. Let n be t(1). Solve -20*g = -n + 40 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -375224 + 379?\nAnswer: -374845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 3*y**8\/56 + y**4\/6 - 2*y - 1. Let s(t) be the first derivative of z(t). What is the third derivative of s(w) wrt w?\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Suppose -o = -4*j - 42, -x*j + 0*j = -2*o + 44. What is j rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 4 = 4*q, -4*s - 1 = -44*q + 43*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2. Let o be i(0). Suppose 12 = -p + 3*a, -5*p - 6 = -p + 2*a. What are the prime factors of 3*2*(o - p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2948175203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0522 - -0.9478. Is 3\/4 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 52 + 56 - 109. Let o(k) = 3*k - k - 3*k. What is -o(r) + 2*w(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3*t + 297, -5*d - 3*t + t + 488 = 0. Suppose 0 = -0*w + 2*w - d. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-225)*((21\/(-2))\/(-7))\/(71\/(-1704))?\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 389 + -386. Differentiate 24 - 131 - g*d - 38 + 4*d - 21*d**2 with respect to d.\nAnswer: -42*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-7))\/(90\/63). Let w = 39\/70 - 2\/35. Sort -0.1, w, f in increasing order.\nAnswer: f, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17, -63, -283, -691, -1335?\n\"Answer: -8*d**3 - 22*d**2 + 42*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2 (c) 1501 (d) -0.3 (e) -2\/153 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z. Let v = -1309 + 1313. Let s(u) be the third derivative of 0 - 18*u**2 + 1\/12*u**v + 0*u**3 + 0*u. What is s(p(w))?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7408352 * -0.3.\nAnswer: 2222505.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 138 = -2. Suppose -3*z + 15 = 3*c, p*z - c - 7 - 6 = 0. Let k(s) = 4*s - 6. What is k(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133104 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*g = -15, 5*g - 15 = -6*n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -199011*v**4 + 30227 wrt v.\nAnswer: -796044*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)*z**(-4)\/z)**(-6\/17) assuming z is positive.\nAnswer: z**(66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((2\/122)\/(13*(-2)\/52))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 0*o**3 - 279*o + 92*o + 89*o + 94*o.\nAnswer: 2*o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.04 + -0.04. Let k = 107 + -107.5. Which is the nearest to l? (a) k (b) 25 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxxsxaxxxaos. What is prob of picking 1 x and 1 s?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**3 - 34*u**2 - 8*u + 13. Calculate d(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140 - 140.62. Let l = r + -0.38. What is the third biggest value in 0.05, l, -0.04?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*(2 - -39491)*(14 + -13). Let r(k) = -x - 4*k**2 + 276451. Let g(u) = -18*u - 1. Determine g(r(b)).\nAnswer: 72*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Let f = w - 2.5. Sort 0.4, -0.2, f in descending order.\nAnswer: f, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + d - 2*d + 0*d**3 + 4*d**3 to the form y + n*d**2 + b*d**3 + r*d and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 less than 16\/3529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 0 + 8*h - 1\/4*h**4 - 27\/2*h**2 + 3*h**3. Factor v(q).\nAnswer: -3*(q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(833))**2 + ((sqrt(85)*1)\/sqrt(5))**2 - 4*(-1 + sqrt(1377) + -2)**2.\nAnswer: 216*sqrt(17) + 1970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, f: 2, t: 1, p: 2, a: 2}. What is prob of sequence satf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.2, -1, 2.14, 0.5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14304153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 1. Let d(b) = 2*b - 1. Let a be d(1). Let f(o) = o + 2*o + a - 2*o + 0. Calculate 2*f(q) + g(q).\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/4*8930\/17860?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 7*n**2 + 10*n - 60. Let u(j) = 5*j**2 - 10*j - 3. Let h be u(-7). What is the smallest common multiple of t(7) and (-2)\/(h\/105 - 3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from ktwteewekesskkskkwtw?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1010110101000111101?\nAnswer: -1010110101000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**2 - 6*y - 6. Suppose 299*v = 158*v + 157*v + 16. Give o(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 83 = 4*r. Solve r = 5*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4 - 744*l**3 - 136887*l**2 + 557260*l - 419628 = 0 for l.\nAnswer: -374, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 - c + 1. Let s be o(1). Solve k + 14 = -s*d + 6, -2*k = -4*d - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + i - 30. Calculate the highest common factor of i and 705.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 149?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1\/6, 114, -1\/4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1033 - 961. Calculate the remainder when r is divided by 49.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 8*j**5\/7 + 166*j**4\/7 + 750*j**3\/7 - 1166*j**2\/7 + 242*j\/7 = 0.\nAnswer: -11, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkvk when four letters picked without replacement from vqqpkkxx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*q**3 - 3*q**2 - 10*q**2 + 4*q**2 + 6*q**3 - 45*q**3 + 7*q**2.\nAnswer: -65*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c**2 - 13*c + 13. Let f(i) be the first derivative of 6*i + 2\/3*i**3 - 3*i**2 + 13. Give -13*f(l) + 6*v(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 84*v**2 + 3*v - 9. Let q be p(1). Calculate the highest common divisor of 1924 and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l - 88 + 194 - 66 - 40.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/(-18)*(2 - (-7)\/(-2)). Suppose 2*p - 3 = -2*c + 19, n*c + p - 63 = 0. Suppose c = 4*q - 19. Solve 2 = 5*r - q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) + 7\/2. Suppose -3*r = b - 21, -r + 0*b = -z*b - 20. What is the units digit of (-6)\/((-4)\/(r\/3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 569 - 160. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 76, 8, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 - 31*s**2 + 44*s - 27. Give z(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3318 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**5\/8 + u**4\/8 - 32*u**2. Solve p(d) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 6*y**2 + 21*y - 11. What is the units digit of a(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35.35287 - -8\nAnswer: -27.35287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + ((1 + sqrt(98) + -5)**2 - sqrt(98)) - sqrt(98)) + (sqrt(98) - (sqrt(98) + (sqrt(98) + 1 + sqrt(98))*6)).\nAnswer: -147*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 77. Is 8 a factor of (-2)\/((v\/(-120))\/(-11))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54981751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l**2 + 3*l + 3. Let b(n) = -3*n**2 + n + 1. Let j(o) = -11*b(o) + 4*z(o). What is j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2. Suppose -w + 3 + 2 = 0. Let x(c) = w*c + 8*c - 14*c. Determine x(y(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.04 - 4.04. Sort c, -0.1, 31.9 in descending order.\nAnswer: 31.9, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (sqrt(425) - (sqrt(425) + (3 + sqrt(425) + -2 + sqrt(425))**2 + sqrt(425))) + (sqrt(425) + -3 + 5 + sqrt(425))**2 + 0)*-2.\nAnswer: 24 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0294 + 51.2294. Let r = -50.681 + h. Round r to 2 dps.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272709703 to the nearest integer?\nAnswer: 16514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1154187539?\nAnswer: 1154187539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by -830767.\nAnswer: 8\/118681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 61260 rounded to the nearest 1000?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 30. Let u(k) = -k**3 + 9*k**2 + 23*k + 9. Let i be u(y). Solve 3*q + i = 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -5*k + 84. Calculate the remainder when k is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of ((-104)\/(-3))\/(2\/(9 - -3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -57. Suppose a - h = -2*a. Which is greater: a or 56\/3?\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 600716, 600731, 600758, 600803, 600872?\n\"Answer: m**3 + 8*m + 600707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.231, 0, -72?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 56.6992005023?\nAnswer: -56.5992005023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67518029 or -67518026?\nAnswer: -67518029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*b = -88*b - 693. Solve 0 = q + b - 33 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*(-5 + 2*sqrt(1792) + sqrt(1792)))**2 - (sqrt(1792) + 2*sqrt(1792)*4 + (sqrt(1792) - 4*(sqrt(1792) + 2))).\nAnswer: -5280*sqrt(7) + 145484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 133*c**2 - 49. Let v(j) = -14*j**2 + 5. Let u(g) = 5*q(g) + 49*v(g). Let t(p) = 45*p - 2. Determine u(t(o)).\nAnswer: -42525*o**2 + 3780*o - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 352216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -708248 (base 13) in base 10?\nAnswer: -2617025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4509 is divided by 568.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -521, -515, -499, -467, -413, -331, -215, -59?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.073 - 41.073. Let n = d + 40.74. What is n rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 2063*z + 2140*z.\nAnswer: 77*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 2*n**2 + 1. Let s be q(-1). Let y = 4\/359 + 1747\/4308. Let x = -13\/60 + y. Is x at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4 + 68730*g**3 + 1305509*g**2 = 0. What is g?\nAnswer: -68711, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 16 = -6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 207457270 + -2?\nAnswer: 207457267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - 6 - (30 - 42) - (-1 + 4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 8)*(a + 33*a - 2*a)*(5*a - 4*a + 2*a**3 + a)*(0*a + a + 0*a).\nAnswer: 320*a**5 + 320*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-15)*35\/294?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45023.61 - 20.22?\nAnswer: -45043.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3073 - -5?\nAnswer: 3078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 18*h**2 + 40*h - 9. Give z(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k + 190*k**2 - 580*k**4 + 579*k**4 - 80 + 622*k**2 - 181*k**2 - 16*k wrt k?\nAnswer: -12*k**2 + 1262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 11 = 2*a, -1 + 11 = -5*a. Let c be (l\/6)\/((-1)\/(-2)). Is (6 + 2 - c) + -2 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klkmim. Give prob of picking 1 k, 1 l, and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2961552 divided by -493592.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/11488 and -87\/1436?\nAnswer: 11488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 47*s**2 - 2*s - 2. What is the units digit of o(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -10*o**4 - 33826*o**3 + 1072188*o**2 + 655488*o = 0?\nAnswer: -3414, -3\/5, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 2*j**2 - j**2)*(79*j**2 + 18 - 18) - j**3 + 2*j**4 + j**3.\nAnswer: -156*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92 or -62.9?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p = -31*p - 5208. Suppose p - 244 = 5*a. What is the highest common factor of 150 and a?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0*m + 0*m)*(1 + 0 + 0)*(-3 + 0 - 1)*(m + 2*m**3 - m).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15799*l + 15771*l - 31523*l.\nAnswer: 47*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/4 + 12\/(-48). Factor -16*l**5 + 5*l**2 + l**5 + 36*l**4 - 15*l**i + l**2 - 12*l**3.\nAnswer: -3*l**2*(l - 1)**2*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -240052.3 to the nearest one hundred.\nAnswer: -240100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 368800 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111101001100 + 1010?\nAnswer: 110111101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/(-4))\/((-4)\/122)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, d: 1, p: 1, i: 1, a: 2, l: 1}. Give prob of sequence pdi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15919?\nAnswer: 15919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u + 7*u + 208. Let o be u\/14 - -1*6\/21. What is the second biggest value in 1\/2, -2, o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 14*z**2 - z + 17. What is n(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*c - 6, 60 = k + 3*c. Let x be (-15)\/k*10\/(-8). Suppose -18 = -2*q - 5*o, -o + 9 = -5*q - 0*o. Is x at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 243*g**2 - 4. Let l(u) = -245*u**2 + 3. Give 4*l(z) + 3*q(z).\nAnswer: -251*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290905443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/6 + 375\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/4 (b) -5 (c) -7 (d) 241928\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -6. Calculate the remainder when (-4)\/6 + 17\/3 is divided by 1*g + 12\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 4. Let y be g(6). Solve -2*p + p - v - y = 0, -1 = v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -0.5, 3\/5, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(1 - 3\/(-3)). Let q(h) = -h**2 - 9*h + 12. Let d be q(-10). Suppose -d*p - 3*w + 8 = -0*w, -p = w - t. Sort 0, 3, p in descending order.\nAnswer: p, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1003089 to 3 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -150, -548, -1236, -2238, -3578?\n\"Answer: -4*z**3 - 121*z**2 - 7*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3 - 7 - 4 - 9*b - b**2. Let n be h(-7). Let o(p) = -5*p**2 + 0*p**2 - 7 + n*p + p**2. Let w(r) = 3*r**2 - 5*r + 6. Give -5*o(q) - 6*w(q).\nAnswer: 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**3*p**2 + 152*b**2*p**2 + 706*b*p**2 wrt b?\nAnswer: -24*b*p**2 + 304*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 17*t = 19*t + 19106, 4*t = 5*z - 23887. What is the greatest common divisor of 50 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1840 and 89\/35840.\nAnswer: 824320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/45 + 6\/(-10). Solve 3*k + 5 = 2*k - s, h = -5*k + 2*s + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -17*b - 4. Let u(a) = -a + 14. Let m(n) = 15*n - 82. Let j(x) = m(x) + 6*u(x). Determine 13*j(i) + 6*r(i).\nAnswer: 15*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4\/4849737?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 + 43?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -240, -246, -252, -258?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 24*t**2 - 133*t - 70. Calculate v(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 9 - -4) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 113*m + 279995. Let v(o) = 2*o. Determine v(u(p)).\nAnswer: -2*p**2 - 226*p + 559990","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 530437 + -3?\nAnswer: 530434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 80492.57 kilograms?\nAnswer: 80492570000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 3 + 3)*(-9 + 9 + 3*m) + 612*m**2 + 22*m**2 - 54*m**2 + 1016*m**2.\nAnswer: 1599*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*s + 39*s + 103*s)*(-13*s + 3 - 3).\nAnswer: -1469*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**3 - 3*h**2 + 3*h - 2. Let q = -30 - -24. Let b be (-5)\/(q\/4 + -1). What is the units digit of l(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 11 = -3*a + 19, 0 = 5*a - 20 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7472 + 7471.834. Sort b, 0.1, 4 in descending order.\nAnswer: 4, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2264 + -2084. Calculate the least common multiple of 110 and j.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*j = -45*j + 34*k + 751, 2*k + 47 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2161.3 - -1922. Let u = -238 - t. Let b be 12\/8*(-4)\/51. Put b, -5, u in increasing order.\nAnswer: -5, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 71, -3\/11, -4\/3?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 16. Let z be 3 - 90\/m - -3. Let -45\/2*w + 24*w**3 + 3 + z*w**2 = 0. What is w?\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 q when three letters picked without replacement from {v: 4, b: 2, n: 5, q: 4}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51368 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3604267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 360735, 721467, 1082199, 1442931, 1803663?\nAnswer: 2164395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*f + 18, 9 + 0 = -y - f. Factor 7\/3*v**2 + 1\/3*v**3 + y + 0*v.\nAnswer: v**2*(v + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**22)**27 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11060*n + 11059*n + 325. Is n less than or equal to 321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 529*g + 1944. Calculate b(-4).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + 1866 + 4 - 8. What is the highest common divisor of 20 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 2\/(-3)*(((-18)\/(-12))\/3 - 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/9, 26, 0.1472?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + f - 149 = 0, -d = -0*d + 5*f - 79. Let m = 289 + -78. Suppose -4*w - 5*v = -m, v + d = -3*w + 224. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**3 + 5*j. Let z(v) = -4*v**2 + 8*v + 4. Let b(f) = -f**3 - f**2 + 1. Let l(u) = 4*b(u) - z(u). Calculate 5*l(o) + 8*x(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/30*56115\/(-4988).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/6)\/(1\/3). Let l(x) = x**2 - 10*x + 5. Let s be l(10). Suppose -17*j + g = -15*j + 1, -23 = -4*j - 3*g. Sort s, v, j in descending order.\nAnswer: s, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -26.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*b = t - 36818, -5*b = t - 12250. Suppose 3*o + l = t, 2*l - 9 = 5*l. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-3)*3\/(-12)*1.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgss when four letters picked without replacement from {d: 6, x: 2, m: 2, g: 5, s: 3}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 931603 is divided by 465781?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 19*r - 16. Let c = 46 - 28. Let x be v(c). Suppose -7*n**4 - 9*n**3 + 0 - 6*n**4 + 0 + x*n - 5*n**5 + n**2 = 0. Calculate n.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -121 - -63236564?\nAnswer: 63236443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 40, 89, 174, 307, 500?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136538.\nAnswer: 2, 233, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y + 32. Suppose -140 - 12 = y*h. Let i be h\/75 - (-12)\/36. Put i, 2\/13, 3 in increasing order.\nAnswer: i, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 4*w**2 - w - 5. Let t be v(-6). Suppose 2342 + t = 4*x + 3*q, 1220 = 2*x + 4*q. What is x rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(228) - (sqrt(228) - sqrt(228)*1))\/sqrt(12) + -3.\nAnswer: -3 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 0*u. Suppose 3*f = 3*g - 18, -2*g - 2*g - 2*f + 18 = u. Let t = -98 + 98. Put 1, g, t in ascending order.\nAnswer: t, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**1)*d*d*d\/(d*d**(-33)\/d*d))**4)**(-34))**(-4) assuming d is positive.\nAnswer: d**18496","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 2701.86.\nAnswer: 13509.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-20) + (-12)\/(-8))\/((-6)\/189)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72209.\nAnswer: 163, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4166.\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and 411.\nAnswer: -575.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 + 37186495*l - 37186758*l.\nAnswer: -263*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/6)\/((-4)\/12). Suppose v + 3*u = 16, 0 = 2031*v - 2033*v - 4*u + 34. What is the highest common divisor of d and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4\/2 - 44*p**3 + 1223*p**2 - 5896*p + 9435\/2 = 0.\nAnswer: -111, 1, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -36, -84, -158, -264, -408, -596, -834?\n\"Answer: -s**3 - 4*s**2 - 9*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l**3 + 247*l**2 - 247*l**2.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**14)**(1\/5)\/(((j*j**22)\/j)\/(j**22*j)) assuming j is positive.\nAnswer: j**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 225*l + 237*l - 881*l**4 - 65*l wrt l?\nAnswer: -10572*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -96, -236, -446, -726?\nAnswer: -1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 8*y - 7. Let n be k(9). Let g(r) = 4*r**2 - 2*r + 2. Let x be g(n). Calculate the greatest common divisor of x and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 325 = -3*v, h + 7*v = 6*v + 155. What is the remainder when h is divided by 59?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20621 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(4\/27)\/(-2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 24*d**3 - d**2. Let x be f(1). What is the highest common factor of x and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 16103.04381s?\nAnswer: 0.026625403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + o + 3. Let j = -9 + 6. Let i be p(j). Calculate the greatest common divisor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 j when three letters picked without replacement from dldmnmmmjlnnjmnnnjjn.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.08 != 910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 50*q = 181062. What are the prime factors of q?\nAnswer: 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7 + z**3 + 5*z**2 + 5*z - 5*z - 8*z. Calculate the remainder when v(-5) is divided by (0 + (-30)\/9)\/((-8)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 122 and 366?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9547.685ml to litres.\nAnswer: 9.547685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16475, -16466, -16457, -16448?\nAnswer: -16439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -102, -168, -282, -474, -774, -1212, -1818, -2622?\n\"Answer: -5*a**3 + 6*a**2 - 49*a - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 59 - 85*r - 47 - 42 + 187.\nAnswer: -85*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282*x + 425 = 549*x - 242*x. Solve -4 + 38 = -x*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwnwwwwww. What is prob of picking 2 w?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 b when four letters picked without replacement from bjbbbjtbtyyttjbbt.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 - 6*g**2 + 2 - 8*g**2 + 13*g**2 + g**2 + 220*g to the form a*g**3 + c*g + w + z*g**2 and give c.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q + q**2 + 3*q)*(1 - 2 + 0).\nAnswer: -q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 35*w**2 - 32*w + 3. List the prime factors of v(4).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -36, -41, -58, -93, -152?\n\"Answer: -n**3 + 2*n - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74780607\/2 less than 37390304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -5 (b) -0.36 (c) -1\/3 (d) -1\/5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 48 = 5*a. Differentiate 1 - 28*w + a*w**4 + 28*w - 8 with respect to w.\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 620\/12 + (-4)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*g + 11*g = -13*g - 56. What is the biggest value in g, 7, -60?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 - 274 = -i. Suppose 5*h = -v + i, -4*h + 3*v + 151 = -0*v. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 511 + 81. What is the highest common factor of k and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from svwcbccuucvccc?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**5*v**(-2\/5)*v**(6\/5)*v*v**(-2))**(1\/2) assuming v is positive.\nAnswer: v**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 147596147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 248, 266, 318, 422, 596, 858?\n\"Answer: 3*m**3 - m**2 + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m - 24*m + 75*m - 27031 - 20*m + 27032 - 22*m.\nAnswer: -5*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -9. Is (381\/n)\/((-3)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - (3 + 10 + -32 + (63 - 56))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbn when three letters picked without replacement from cbnnnjinbcc?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 10*a + 6. Let v be q(-9). Let n be ((-8)\/12)\/((-2)\/v). Suppose 2*j - 3*z = -4*z + 1, 2*j - n*z = -5. What is the nearest to -1 in -4, 3\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45682?\nAnswer: 2, 7, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86826005 divided by 5.\nAnswer: 17365201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.3 + -3.9. Let l = -3 + y. Let t = 5 + -3. Which is the nearest to -0.1? (a) l (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125380.8 hours in microseconds?\nAnswer: 451370880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*y**2 + 138*y**2 + 2*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 176\/77 + -3*(-6)\/(-63). Put 4, 3, a, -1 in descending order.\nAnswer: 4, 3, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 3*i**2 - i**2)*(1172*i**3 + 547682*i - 547682*i - 2).\nAnswer: 3516*i**5 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 5*c**2 - 8*c + 2. Let r(i) = -2*i**2 - 8*i + 4. Let o be r(-5). Let j be g(o). Calculate the highest common factor of j and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 z when three letters picked without replacement from gzllzuzjgullll.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 3:28 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16416)\/(-171)*4\/(-6). Which is the third biggest value? (a) j (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6512 times 2.686\nAnswer: 17491.232","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxyxyyxyxxyxx. Give prob of picking 3 x.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*j**5*o - 4858*j**2*o + j*o + j - 284*o - 36 wrt j.\nAnswer: -100*j**3*o - 9716*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 283014 and 2028267.\nAnswer: 12169602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3214, -2960, -2558, -2026, -1382, -644?\n\"Answer: -3*b**3 + 92*b**2 - b - 3302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbh when three letters picked without replacement from bhhiodc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 0*p - 7 = 3*p + 15, 38*a - 3*p = 3*a + 30*a - 146 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1835507*b - 12. Give a(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-1 + 15\/9). Suppose u*v - 39 = -v. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1322 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 12*r**2 - 12*r + 81. Calculate i(12).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, -5, 5, -2, 2 in descending order.\nAnswer: 5, 2, -2, -5, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -3 (c) 0.012 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -5*h**3\/6 + 976*h. Let l(u) = 2*u + 65. Give l(t(x)).\nAnswer: -10*x + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 31013?\nAnswer: 31032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -10.58\nAnswer: -52.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2))**(15\/7)*((u*u\/(u\/(u\/((u*u**(1\/2))\/u)*u)))\/u)**(-6\/13))**(-31) assuming u is positive.\nAnswer: u**(-2139\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-12)*74935136\/6. Let a = 1038648 + h. Let p = a + 2114. What is the common denominator of 31\/7 and p?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 - (-72)\/56. Suppose 0 = -2*c + o - 3, -c - 4*c + o = 6. What is the remainder when k - c*6*6 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175845 is divided by 556.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3 + 187*k**2 + 2100*k = 0. What is k?\nAnswer: -175, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 9*h**2 + 7*h + 3. Let u be o(-8). Let n = 18 - u. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 11:47 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2288*-4\nAnswer: 9152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4760, -9539, -14330, -19139, -23972, -28835, -33734, -38675?\nAnswer: -43664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(13) + sqrt(39)\/sqrt(3) + 5 + (sqrt(143)\/(-6*sqrt(11)))**2*-3.\nAnswer: 59\/12 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110650883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.65 - 0.33. Let v = d - 0.02. Let l = v + 2. Is l <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t. Let k(j) = 29 + 3*j - 29. Determine s(k(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owll when four letters picked without replacement from {l: 11, o: 1, w: 3}?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3422444185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -37. Suppose -1 - 3 = g. Which is the nearest to u? (a) -0.2 (b) g (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 times -300475\nAnswer: -5108075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33, 117, 257, 453, 705?\n\"Answer: 28*u**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*r + 4*x - 109404, 14554 = 2*r + 2*r - 5*x. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - l - 667, 3*l + 0*l + 3 = 0. Suppose -s - s + m = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24 - (-12 + 0)) + 17. Sort -90, 4, m in descending order.\nAnswer: m, 4, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*t**2 + 6*t**2 + 14*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -64 (b) -0.75 (c) 1 (d) -8 (e) -0.2 (f) -2\/13 (g) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 554 - 550 - (-150894)\/(3 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.465*1.5\nAnswer: -2.1975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = -62 - 246. Let m be (-62)\/f - (-120)\/(-48). Sort -12, -1\/4, m, 2 in increasing order.\nAnswer: -12, m, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 2. Let z(j) = j - 2. What is -2*n(b) + 3*z(b)?\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105080 and 3195.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + 3 + sqrt(36)\/(sqrt(48)\/sqrt(4)) + 2*(sqrt(3) + sqrt(6)\/sqrt(2)) + (sqrt(3) + (sqrt(363)*-1 - sqrt(3)) + sqrt(3))**2 + sqrt(3) + -1).\nAnswer: -1228 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9, -7, -3, 3, 11, 21, 33?\n\"Answer: p**2 - p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Suppose -6*p = -p - 10. Suppose -3*d + x = -13, p*i - 17 = d. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29764 and 0.8.\nAnswer: -23811.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 35486?\nAnswer: 35486.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -522*x**5 + x**4 + x**3 - 242563*x**2 wrt x?\nAnswer: -31320*x**2 + 24*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7077?\nAnswer: 3, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-20) - (-25)\/(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 11*c**3 - 3248*c**2 + 13*c + 3246*c**2 + 4*c**3 - 5*c**3.\nAnswer: -12*c**3 - 2*c**2 + 19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(12)\/(sqrt(6)*-1) + sqrt(10)\/sqrt(5)*5 + ((sqrt(160)*2)\/sqrt(10))\/sqrt(8))**2 + -1.\nAnswer: -24*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 3*u - 4. Let c be b(-3). Let n = 36 - 27. Let m = -1912 + 1914. Sort m, c, n in decreasing order.\nAnswer: n, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1757*r**3 + 1806*r + 924*r**3 - 1806*r.\nAnswer: 2681*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a + 5?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 25, 41, 59, 79, 101?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*p, 2*p - 10 + 10 = -4. Solve 44 - 68 = o*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43868101*h - 99323679.\nAnswer: 43868101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42828, -42926, -43084, -43296, -43556?\n\"Answer: f**3 - 36*f**2 + 3*f - 42796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3145\/6302 + 3\/3151. Let v = -1 - -5. Which is the nearest to 0.5? (a) y (b) v (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -1, -77\/4044 in increasing order.\nAnswer: -1, -77\/4044, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -116, 0, -0.2 in descending order.\nAnswer: 1, 0, -0.2, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 206*j - 376, -4*j - 2 + 6 + 0 = -2*s + j - 4 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*m + 9, -m - h + 3*h = -3. Let t be (-17)\/(-3) - 3 - 2\/m. Solve -3*q = t*q + j - 18, 0 = -4*q + 3*j + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (154\/275*-5)\/((-4)\/(-10)). Let w(j) = -258*j - 159. What are the prime factors of w(r)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**7\/70 - o**6\/40 - 3*o**5\/20 + 5*o**4\/8 - o**3 + 11*o**2. Factor s(g).\nAnswer: 3*(g - 1)**3*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 3 - 5) + 1 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0.1. Let o = 0.5 + i. Let l = 1816\/7 - 260. Sort -5, l, o in increasing order.\nAnswer: -5, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9402*x**2. Let q(p) = -160*p**2. Determine l(q(u)).\nAnswer: 240691200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -1\/720*c**6 - 11*c**2 + 0*c - 1\/12*c**4 + 0*c**5 + 0*c**3 + 0. Let o(y) be the second derivative of v(y). Give o(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u. Let l(t) = -11500367*t**2. What is g(l(v))?\nAnswer: -23000734*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 0.21, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1179*j - 1168*j - 528. What is the remainder when 342 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/63 + -1 + 24992\/82005?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -192, -273, -344, -405, -456?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 7. Let m(z) = 5*z. Let x be m(l). Calculate the highest common factor of x and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**16*w)\/((w*w\/(w*w**16\/w))\/w))\/(w**(-9)*w**(-10)))**(-2) assuming w is positive.\nAnswer: w**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 187\/4. Let k = -1.6 + 0. Let w = 2 + k. Which is the closest to h? (a) -3 (b) w (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111*f**3*o**3 - 2*f**3*q**2 - 3*f**2*q**2 - f*o**2*q**2 - 4*o**3*q**2 - o**3 wrt f?\nAnswer: -666*o**3 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 - 6) - ((60 - 4) + -96).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15477 + -15477.1. Sort -0.4, 6, 0, -3.8, t in descending order.\nAnswer: 6, 0, t, -0.4, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -3, -0.3, -4\/5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19143 (b) -0.0795 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 348346061 - 53645041643\/154. Let q = 11427\/7 - h. What is the common denominator of q and 4\/7?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -372*v + 68 + 2*v**4 + 50*v - 130 + 63 to the form t*v**2 + k*v**4 + y + f*v + m*v**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/44 - 13\/22. Which is the second biggest value? (a) -0.2 (b) -3 (c) -3\/38 (d) -2 (e) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**6\/120 + p**5\/15 + p**4\/12 - 2*p**3\/3 - 7*p**2. Suppose -5*a + 3*z = -20, -15 - 1 = -4*a + 2*z. Determine l(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0625 + 1345.\nAnswer: 1344.9375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f - x - 11177, -2*f = -3*x + 4464. Let p = f + 439. Let l = p - -2996. What is l rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8*f + 142. Let r be n(17). Suppose -z + 8 = -2*z - 4*u, -4*u = 4*z + 8. Let k be (z + -1)*(-15)\/3. Solve -m = 5*q + r - 27, -q - m = -k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**12)\/((i*i*i\/i**(4\/3))\/i*i)*i**(2\/9)\/((i\/i**(2\/5))\/i*i))**30 assuming i is positive.\nAnswer: i**(986\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 16) in base 13?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153507127 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 95 = w + 2*w, 4*c = 8. Let o(t) = -t**2 + t + 6. Let f be o(-5). Let i = f + w. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c + 10 - 10)*(4*c + 0*c - c) + 5*c - 5*c - 4*c**2.\nAnswer: 23*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(36)*2)\/sqrt(6) - sqrt(6)) + (sqrt(168) - sqrt(42))\/sqrt(7))\/(2*2*sqrt(3) - sqrt(6)\/sqrt(8)).\nAnswer: -20*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11763, 2, 1\/5, -2, -2\/13 in increasing order.\nAnswer: -2, -2\/13, -0.11763, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1*(2\/40 + (-29892)\/(-165360) + 280\/26)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = f + 1400. Let z be ((-5)\/(75\/(-54)))\/((-12)\/f). Let p = 132 - z. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57876, -57848, -57820?\nAnswer: -57792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/6*30\/(-3). Suppose 0 = 5*a - d - 30. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43b (base 15) to base 10\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 - (-6 + 11)) + -2 - 56) + 15.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -81*u**2. Let k(s) be the third derivative of -s**4\/24 - 51*s**2 - 2. Calculate k(j(o)).\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + c**2 - 11*c + 11. Let f(g) = 2 + 7*g + 0*g - 9*g + 0. Suppose 5*t - 2 = 2*a, 0 = 5*a + t + 14 + 18. Let p = 4 + a. What is p*z(w) + 11*f(w)?\nAnswer: -2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -9\/34 (c) -4\/5 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 768 and 1248.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z\/(z*z**1*z)))\/z*z)**31)**41*((z*(z*z**(1\/4)\/z*z*z*z*z)\/z*z)**(-12))**0 assuming z is positive.\nAnswer: z**5084","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -191846298 + 1850549382971\/9646. Let u = y + -3\/689. What is the common denominator of 22\/(-60) + (-6)\/(-9) and u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-2 + (-16268)\/35)\/(6\/(-90))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7872a6 (base 12) in base 11?\nAnswer: 10a1767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18492\/(-16) - (-5)\/(-20). Let c be (p\/5)\/(5\/(-25)). Factor -6 + 1159*h + 4*h**2 + 5*h**2 - c*h.\nAnswer: 3*(h + 1)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -x**3*y - 122*x**3 + 2*x**2*y - 7*y + 151 wrt x.\nAnswer: -3*x**2*y - 366*x**2 + 4*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**6 + 54631*q**5 - 54633*q**5 - 6*q + 0*q**2 - 33*q**2 wrt q?\nAnswer: -480*q**3 - 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 518.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 + 3 + 26*q**4 - 28*q**4 + q + 2*q**3 in the form x*q + a*q**4 + w*q**3 + m*q**2 + v and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**4 - 3*j**4 + 2*j**4)*(4 + 0 - 5)*(287 - 239 + 527) to the form o*j**4 + s*j**2 + y + q*j**3 + k*j and give o.\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.28 + 16.28. Let o = f + -15.73. Let b = o - -1.11. Round b to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2453901595.\nAnswer: 5, 61, 8045579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x + x + x)*(-22 - 1 + 4)*(0 + 0 - x) to the form l*x**2 + v + s*x and give l.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -138728 and 1726058?\nAnswer: 1864786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 1. Let k = -425 - -424. Let c be b(k). Determine o, given that 0 - 2\/15*o**c + 4\/15*o = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-30)\/(-14))\/(20\/70)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267744.\nAnswer: 2, 3, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.104409828 - 7\nAnswer: -7.104409828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 1708.\nAnswer: 683.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 plus 3685328126?\nAnswer: 3685328125.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 v when three letters picked without replacement from qvvqqvvaanr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0\/(-4 + 0) + 86.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -1\/6*x**4 + 0*x + 3*x**3 + 0 - 12*x**2. Does 27 divide j(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1039.92 - -1040. What is the nearest to a in -0.2, -3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7704965.1 to the nearest one hundred thousand.\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 2, -3, 1 in descending order.\nAnswer: 5, 2, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/5 - (-2)\/((-260)\/46). Which is the second smallest value? (a) f (b) -1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 4, -1 in ascending order.\nAnswer: -1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwowowlnq. Give prob of picking 1 w and 1 o.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*w + 370, -3*z = 2*w - 283 - 79. Suppose j + 3*a - 13 = -a, 5*j - z = -a. Let v = -15 + j. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3835679930?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 34.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 9*q**2\/2 - 11*q + 3. Differentiate d(x) wrt x.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 280374*r - 6550798323.\nAnswer: -3*(r + 46729)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 163, 287, 475, 745, 1115, 1603, 2227?\nAnswer: 3005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 339715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/2 - 1233*m**2\/2 - 127305*m\/2 - 126075\/2.\nAnswer: -3*(m + 1)*(m + 205)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 4\/3 (b) 14\/9 (c) -8 (d) -1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 14*r + 6*r - 1 - 32*r + 14*r - 8. Let q(d) = -6*d + 26. Suppose 5*t + o = -26, 6*o + 8 = -4*t + 2*o. Determine t*q(w) - 17*u(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -0.2, -14782?\nAnswer: -14782","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*o - 647, -7*w - 5*o + 443 = -5*w. What is the remainder when w is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 d, and 1 s when four letters picked without replacement from {q: 1, x: 2, n: 10, w: 2, s: 3, d: 2}?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-164*p + 31*p + 21*p)*(3*p**4 - 11*p**4 - 2*p**4).\nAnswer: -2240*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*m + 12, -3*u = 3*m - 0*m + 24. Let t = u + 10. Suppose -t*o + 43 = -10553. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3522204*q**5 + 295906*q wrt q?\nAnswer: -70444080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 132434274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 49. Let g = -15 - d. Suppose k + 3*w = -8, -2*k = 2*w - 0*w. Solve -f + k*f + 4*t + g = 0, 8 = -4*t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 8.09.\nAnswer: 7.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 0.14 (c) 9 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**6\/270 - 8*v**5\/45 + 8*v**4\/3 - 2*v**2 - 4*v. Let u(d) be the first derivative of h(d). Let u(m) = 0. What is m?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000229677 to 7 decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l. Let c(s) = 16063*s**2 - 2*s + 2. Calculate c(m(j)).\nAnswer: 1606300*j**2 - 20*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*((n*n**40)\/n)\/n)\/n*(n*n**(-1\/35)*n)\/n)\/((n**(-30)\/n)\/((n**(-5\/2)\/n*n)\/n)) assuming n is positive.\nAnswer: n**(4723\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 8\/13 + 18\/13*y**2 + 24\/13*y = 0.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 0*i - 3*i + 11, -3*d + 5*i = -7. Let x(z) = -3*z + 9. Let w be x(d). Let v(h) = -h**3 + 5*h + 2. What is v(w)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1450*t + 23205. Calculate r(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -k + 8. Suppose 4*y - 21 = -3*f, -y - 24 = -k*y - 5*f. Solve 0 = -y*n + 2*n - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -j - 3*s + 121, -3*s + 37 = j. Let g(c) = -3 + 1378*c**2 - 1376*c**2 + 5*c - 6*c. Let d be g(5). Calculate the highest common factor of j and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmp when four letters picked without replacement from mmmpmpmmmmmmm?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.76269 nanograms in milligrams?\nAnswer: 0.00008276269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + n - 7. Let r(h) = -38*h**2 + 7*h - 70. Give -3*r(k) + 21*v(k).\nAnswer: 93*k**2 + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*f - 34*f**5 - 12*f**5 + 49*f + (6*f - 10 + 10)*(-f**4 + 0*f**4 - 3*f**4).\nAnswer: -70*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212212011 - -10?\nAnswer: 212212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x - 42. Let s(u) = 3*u - 28. Let t(i) = -8*s(i) + 5*y(i). Calculate the remainder when 46 is divided by t(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 24*r**2 + 1411*r - 266. What is x(-59)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/4)\/(3\/(-6)). Let n be 4*-1*o\/90. Let r = 5 + -5.4. What is the nearest to -1 in r, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -494938 + -116?\nAnswer: -495054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 32. Suppose 2 = 5*r - 13, -3*x - o*r = -9. Is x >= -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 30 = 0, -4*j - 2*l - 37 + 13 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 1023*m**2 - 528*m + 1362*m**2 + 75 - 18*m**3 + 1104*m**2 + 1048*m**2 - 4066*m**2 = 0. What is m?\nAnswer: 1\/6, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 76619988 = 5*r, -2*b - 22721439 + 7397451 = -r. What is r rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 16\/3*x**3 + 0*x**5 + 61 + 0*x**2 + 0*x**6 + 12\/7*x**7 - 5\/4*x**4 - 4*x. Find the third derivative of m(d) wrt d.\nAnswer: 1440*d**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*3*sqrt(432))**2.\nAnswer: 288*sqrt(3) + 62209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2383, 972, -439, -1850?\nAnswer: -3261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 217.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -4, -0.05, 5, 23?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 6*v - 1. Let b(j) = j**2 - 7*j - 2. Calculate -3*b(m) + 4*q(m).\nAnswer: 5*m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1240.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**4*x + 17*j**4 - 6*j*x - 54*x - 3 wrt j.\nAnswer: -4*j**3*x + 68*j**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 851908.9874 + 16715.\nAnswer: 868623.9874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -45*m + 27. Give a(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8.6 * -5320.62\nAnswer: 45757.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1455138292 - -44591?\nAnswer: -1455093701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -121 + -10?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330 + 27*v**3 + 339 + 320 - 989 - 25*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 3*d + 1. Let o(l) = -l**2 - 2*l + 2. Let m(w) = 2*o(w) - 3*s(w). Let n be m(-4). Which is the smallest value? (a) -2\/3 (b) n (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3670761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 20*w - 3. Let a(g) = 86*g - 11. Let b(o) = 4*a(o) - 18*f(o). Let q(j) = -3*j + 2. Give -4*b(i) + 22*q(i).\nAnswer: -2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00088917 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 3. Let s be o(-3). Suppose -z = d + z - 4, s = 5*d - z - 53. What are the prime factors of (-2)\/d - 130\/(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4456623 to the nearest 1000.\nAnswer: 4457000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.31, 0.3, 21, -0.259 in decreasing order.\nAnswer: 21, 0.31, 0.3, -0.259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*s - 3 - 7, 0 = 2*p + 5*s + 25. Let i(a) = a**3 - a**2 + 2*a + 33. Calculate the remainder when 5 - (-99)\/(-21) - (-850)\/14 is divided by i(p).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 6:58 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39*276\/(-8073)*(2\/(-6))\/(4\/1062).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*n - 156 = 91*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30440037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219 divided by -9?\nAnswer: -1219\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(343))*1 - sqrt(343)) + 4)*-5 - (5 + -2 + sqrt(567) + 0 + sqrt(567) + sqrt(567)*-2*-3)**2.\nAnswer: -36312 - 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((-2)\/2) + 2. Let w be 2*(-2 + 27\/6). Suppose 3*i + 7 = -o, 106 = w*b + 3*i. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 + 134 - (-331749)\/(-7371)?\nAnswer: -2\/273","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7313208 and 58505664?\nAnswer: 58505664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*6054\/(-36)*138 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 2 - (1 + -3)) + -33. Let b = y - -239. Suppose -3*g - 44 + b = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - 2*d**3 - 3*d - 3*d**3 - 6 + 6 - 5*d**2 + 5*d**2 - d**3 + 7*d**3 - d**3 - 2*d**3 + (2*d + d - 2*d)*(0*d**2 - d**2 + 0*d**2).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 151947259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 12*n + 32. Let l be s(-14). Suppose 0 = -5*q + l*z + 3315, -5 = 2*z - 3*z. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2. Let w(t) be the first derivative of 6*t + 0*t**2 - 62 + 4\/3*t**3. Determine s(w(r)).\nAnswer: 32*r**4 + 96*r**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87*n*y**2 + 5313*n + 1526784*y**2 wrt n.\nAnswer: 87*y**2 + 5313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -235*q + 751869 + 154761. What is the remainder when q is divided by 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1600, -1598, -1596?\n\"Answer: 2*p - 1602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006718 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*r = -7*z, 0 = -z + 3*r - 4. Suppose -2*y = y - 27. What is the lowest common multiple of z and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 116024177 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 2*s**2 - 3*s**2 + (7 + 49 - 232)*(-s + 2*s**2 + s))*(s - 5*s + 2*s).\nAnswer: 708*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (800\/1120)\/(2\/(-70))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -2406235555?\nAnswer: -2406235562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -936*b**3*n**5 - 5*b**3 - 4*b*n**6 + 233*b*n**2 wrt n.\nAnswer: -56160*b**3*n**2 - 480*b*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**2 + 1363320*k + 1995957.\nAnswer: -4*k + 1363320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/13 (b) -2\/41 (c) 5.95 (d) 20 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**3 - l**3 + l**3)*((-1 + 2*l + 1)*(0 + 5 - 4) + 2*l + 12 - 12) to t*l**2 + q*l**3 + g*l + j + x*l**4 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16.338 and 254.\nAnswer: -4149.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.145117 millilitres?\nAnswer: 0.005145117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 13*c - 22. Let h be n(-11). Suppose 3*r + 2*f - 4575 = -2*r, -5*f + 25 = h. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1543 is divided by 72.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1940*f**4 - 165*f - 17. Let j(t) = -970*t**4 - 84*t - 8. Let v(s) = -2*c(s) + 5*j(s). Find the second derivative of v(a) wrt a.\nAnswer: -11640*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 103116102 divided by 3?\nAnswer: 34372034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 3*d**2 - 5*d - 5. Determine y(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -90.1620075.\nAnswer: -93.1620075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 15*r**2 + 24*r - 736. Let u be l(10). Let i be (-4)\/10 + (-37)\/(-5). Sort -1, u, i in decreasing order.\nAnswer: i, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2\/125 of a kilometer?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b. Let t(h) = 2*h**2 - 217*h. What is t(f(l))?\nAnswer: 2*l**2 - 217*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (101 - 78) + -1 + -13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13772566 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11254, 89936, 303412, 719050, 1404218, 2426284, 3852616?\nAnswer: 5750582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10188 and 1119768.\nAnswer: 950683032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 629, 4185, 13823, 32585, 63513, 109649, 174035, 259713?\n\"Answer: 507*u**3 - u**2 + 10*u + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-7 - (2 + -3) - -8 - -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvgwbxu. What is prob of sequence ubbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -207*n**4 + 415*n**4 + 1 + 6*n**3 - 207*n**4 in the form g + f*n**4 + a*n**2 + p*n**3 + c*n and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9112 less than or equal to 9129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3\/5*h**2 - 54\/5*h + 57\/5 = 0?\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -35, -65, -115, -191, -299, -445, -635?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1509637 plus 5515?\nAnswer: 5515.1509637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*t - 2*t + 42. Let c(k) = 234*k**3 + 122. Let v(f) = -702*f**3 + f**2 - 365. Let r(g) = t*v(g) - 7*c(g). Find the third derivative of r(x) wrt x.\nAnswer: -1404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24708600 a multiple of 2072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -555.9 + 555.7. Sort 3, -4.1, a, -0.4, 1\/5.\nAnswer: -4.1, -0.4, a, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(1\/15)*v\/v**(1\/13)*v\/((v**(-6\/11)\/v)\/v))**(3\/10) assuming v is positive.\nAnswer: v**(4721\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 65 = -5*r, -14*r + 12 = -11*r - 3*u. Suppose 2*y = -2*b - y + 54, 5*y = 10. Let a = 10 + b. Calculate the remainder when a is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -0.468. Let u = 0.0320047 + j. Round u to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (4 + (-11 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -283012 divided by 70753\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342 = 10*r - 39352895*c + 39352893*c, 5*r = 2*c - 172 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**2)\/x)**(-2\/5) assuming x is positive.\nAnswer: x**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q - f - 2*f - 271 = 0, -3*q - 2*f = -0*q - 12 - 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 - 2*x - 2. Let n(o) = 362*o + 10*o**2 - 9 + 3 - 369*o. Give 7*l(r) - 2*n(r).\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 2*l - 68. Suppose 24 + 192 = 27*p. Calculate the remainder when 33 is divided by f(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from {v: 2, f: 7, z: 7, d: 3}.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 89.\nAnswer: -1, 1, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 96369 (c) 7 (d) -4 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -1. Suppose 11*a - 9 = v*a. Suppose 5*m - 1006 = -w, a*w - 990 = -5*m - 2*w. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0778776 minus 14484?\nAnswer: -14484.0778776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7788.711km?\nAnswer: 778871100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16349 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 281 and 4349877752?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*x + 5 + 3, -x + 12 = 2*u. Put -0.4, u, 14, -5\/4 in ascending order.\nAnswer: -5\/4, -0.4, u, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435210330 to the power of 1\/2, to the nearest integer?\nAnswer: 37884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 173\/4 in 0.4, 0.14, 0.5, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15561 and 386934639.\nAnswer: 5187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 15, u: 3}. Give prob of sequence tu.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 27942584*h - 27942580.\nAnswer: -4*(h + 1)*(h + 6985645)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 36423828?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77324 - 223773 - 262703 = -6393*p for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 735.3964 minus 50652.1?\nAnswer: -49916.7036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 8:46 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1599*g - 36713 + 36713.\nAnswer: 1599*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2951 - -1582. List the prime factors of x.\nAnswer: 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 90955618 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 100*g + 2193. What is h(-69)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2960.2 - -2960.2097134. What is i rounded to 5 decimal places?\nAnswer: 0.00971","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 20 + (-28 - 1) + -30.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-5\/4))\/j**6*(j\/j**(-1\/4))\/(j\/j**5) assuming j is positive.\nAnswer: j**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/15268147?\nAnswer: -3\/15268147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 2*h**2 + 3*h**2 + (3*h - 5*h - h)*(-3*h + 4*h + h) + 2*h**2 - 2*h**2 - 2*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.536669 to 1 decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + (-7 - (-5 - 5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -659 - 523 + 398*a - 1076 - 241 - 1474*a with respect to a.\nAnswer: -1076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(s**2 + 3*s**2 - 2*s**2)*(-9 + 5*s**2 + 9) + 30 - 12*s**4 - 30 + (1 - 3 + 3)*(-s**4 + 5*s**4 - 3*s**4) + 0*s**2 - 2*s**4 + 0*s**2.\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 522 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 + -2.96. Let l = -0.84307 + 3.843122. Let z = h + l. Round z to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.099 - 33.053.\nAnswer: -32.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 37766?\nAnswer: -37756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 63939118 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -86*i. Let q(s) = 87*s**2 + 81*s**2 - 169*s**2. What is l(q(p))?\nAnswer: 86*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57 - 16) + 3 + -7 + -9.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15557977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3.7. Let x be 7\/14*(1 + 13). What is the second smallest value in d, -1, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 15964032452*s**2 - 4*s + 3*s + 2*s**3 - 15964032452*s**2.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14966774 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 6*d. Let z be c(-4). What is the common denominator of (-4)\/z - (-27)\/(-192)*-6 and -103\/6?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 9. Let q(j) = -427*j - 167. Is q(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-5) + 4\/10. Let b(h) be the second derivative of h**4\/3 - h**3\/3 + h**2 + 29*h. Calculate b(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -3*h - 11, a - h + 3*h + 4 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69652*q**2 + 3 - 2*q - 69530*q**2 + 0 - 2*q to f + a*q**2 + l*q and give a.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 12:53 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74*40\/((-2080)\/26).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 408954 (base 14) to base 15.\nAnswer: 2ce70b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j. Let c(w) be the first derivative of -17*w**2\/2 - 2*w + 5925. Calculate b(c(r)).\nAnswer: 34*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 b when four letters picked without replacement from {q: 1, y: 7, b: 9, i: 2}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -6685 = -6686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.067 - -2.807. Let o = -9.9 + 8. Let p = b + o. What is p rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**3\/3 - 9*p**2\/2 + 14*p + 10. Determine j(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3628*x. Let k(h) = -14*h - 11. Calculate k(u(y)).\nAnswer: 50792*y - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-194 - 83*h**2 + 369 - 202 + 36*h**2)*(20*h - 38*h + 21*h) as i*h + r*h**3 + l + a*h**2 and give r.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586841461.\nAnswer: 743, 797, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(3100\/40)*65\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-28)\/24 - 4\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 150722764?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 14*v**2 + v - 11. Let o(h) = 2*h - 6. What is the remainder when c(14) is divided by o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1474 - -1792. Is f a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/29)\/a**(-2\/27) assuming a is positive.\nAnswer: a**(4\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21360 is divided by 10654?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 326, -1, -2\/13, 0.1, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -319*r**2 + 3325*r + 2038. Determine k(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**4\/12 - 2*h**3\/3 + 5*h**2 + 6*h. Let o be q(7). Let v = -27 - o. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4025\/12, -2\/39, -2, -0.05, -1\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -7*c**4\/4 - c**3\/3 + c**2 - 132*c. Let l(i) = -42*i**2 - 3*i + 3. What is -4*l(q) + 7*r(q)?\nAnswer: 21*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 612 and 8074062.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-28)*(-252)\/(-9). Suppose g - 33 = 4*f - 1, -4*g + 110 = 2*f. Let s be 1\/(-2) + (g\/i)\/7. Solve -6 = -s*b - 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16 - 4 = 0. Let d(x) = -2199*x**2 - 6*x + 5. Let a be d(k). Round a to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135575 a multiple of 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -346 + 351. Suppose -3*l - 2*q - 18 = -320, -p*l = 5*q - 505. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.001 - -3.999. Let d = b - 4.0000045. Round d to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and 6912?\nAnswer: 6912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76*k*w**4 + 2063*k - 189*w**4 - 1 wrt w.\nAnswer: -304*k*w**3 - 756*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117659.\nAnswer: 117659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/4944 and -59\/138528.\nAnswer: 14268384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -279? (a) -3\/4 (b) 1 (c) 0.4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/3*((-28)\/(-8) - 4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41530*3.\nAnswer: 124590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 0 + (-9 - -11). Suppose -4*w + 44 = -2*y, n*w = 5*y + 40 - 2. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5517 and -0.1875.\nAnswer: 0.10344375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 1885 = -2*m. Suppose -7*k + 12*k = 5, -4*f = 5*k - m. Calculate the remainder when f is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, g: 7, t: 7}. Give prob of picking 3 t and 1 k.\nAnswer: 175\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*c**3 - 14517 + 14517 + (4 - 3 - 2)*(3*c**3 - c**3 - c**3) - 2*c**3 + c**3 + 3*c**3.\nAnswer: 33*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -504, -2022, -4552, -8094?\n\"Answer: -506*n**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 525 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -4*t, 2*f = -4*t + 22. Let d(n) = 55*n + 2. Let m be d(f). Suppose -8 = -5*h + m. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**2 - 8*t + 11. Let a(q) = 3*q**2 + 9*q - 12. Suppose -10 = -s - 7. Let c be (-4 - -1)\/s - 4. Let p(m) = c*a(m) - 6*f(m). Factor p(r).\nAnswer: 3*(r + 1)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-4 + 7) + 21. Suppose 0 = 4*b + 2*y - 10 + 48, -2*y + p = -3*b. Is -1*166*4\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/13 (b) 0.09 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-449)\/10 - (-2)\/5. Let s = z - -43. Let r(d) = -d + 1. Let m be r(4). Which is the third smallest value? (a) m (b) s (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**6\/24 - 3*w**5\/40 - 7*w**3\/3 + 3*w**2 + 227. Let o(i) be the third derivative of v(i). Factor o(u).\nAnswer: -3*u*(5*u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(272) + (sqrt(1377) + -2 - sqrt(1377)).\nAnswer: -2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 23 - (-5 - (-4 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 13*h + 14. List the prime factors of g(6).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -1.446163\nAnswer: -23.138608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 - 61. Sort 0.2, 1\/6, h in ascending order.\nAnswer: 1\/6, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 594924 and -0.5?\nAnswer: -297462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101110110101 (base 2) to base 8.\nAnswer: -15665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, w: 1, b: 7, j: 2, t: 1, q: 4}. Give prob of picking 1 q and 1 m.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + 73*p - 31*p - 42*p.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4294612.\nAnswer: 2, 7, 153379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**2 + z + 1 - 7*z + 4 + z**3. Let i be g(5). Suppose 2*j + j - 3 = i. Which is smaller: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 11:14 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 12*y - 30 = -8*y, -5*y + 25 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsjsjstststbtjsjj. What is prob of picking 1 t and 1 j?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4381870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 8. Suppose -5 - 15 = -4*s. Suppose 2*w = s*c + w - 44, -c + b*w = -4. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 175.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1898 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 551, 1547, 3327, 6113, 10127?\nAnswer: 15591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 + 18*f + 8. Suppose -5*w + 189 - 219 = 0. Let z be n(w). Let r(v) = 4*v + 1 + 3 + v**2 - 13*v. Calculate r(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**2 + 2*b - 13. Let v be z(-6). Let w be 1*((-1 - 2) + 2)*v. Suppose 18*g + w = 925. Calculate the greatest common divisor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 33\/(-9))\/(4 - 2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*(sqrt(180)*-2 + 4))**2 - (3 + sqrt(180)*1 + -2)**2)*5.\nAnswer: -3240*sqrt(5) + 16650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 2*l + 8 = -8*y, 3*y + l = 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -75958000 rounded to the nearest one million?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20255135 - 1?\nAnswer: -20255140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6270035 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6625012, 13249998, 19874984, 26499970, 33124956, 39749942?\n\"Answer: 6624986*q + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayssyssayya. Give prob of picking 3 a and 1 s.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 4:16 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -214 (b) 1 (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -7889 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2021011 (base 3) to base 13.\nAnswer: -9a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**4 - 3439*p**3 - 13*p**2 + 19*p?\nAnswer: -48*p - 20634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*w = 28, -16 = -12*u + 14*u + 3*w. Let y be 972\/630 + u\/5. Suppose -30\/7*l - 6*l**4 - 82\/7*l**3 - 4\/7 - y*l**5 - 74\/7*l**2 = 0. Calculate l.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.22ml to litres.\nAnswer: 0.03322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwntnnkn. Give prob of sequence kn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-3 + -7)) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = 7*n - 45. Let f be (-4 + 6)*n\/4*-2. Calculate the greatest common factor of 32 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*g*n**2 + 741*g - 2*n**4 + 138*n wrt n?\nAnswer: -12*g*n - 8*n**3 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1310 - 321. Calculate the remainder when a\/(-77) - 4\/22 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 6:26 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -26. Factor -10*m - 5 + l*m**3 - 1 + m.\nAnswer: 3*(m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 12:01 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 26 = 82*q + 275 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (9 - 6)) + (1 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 16*x + 174. Calculate q(-10).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 64\/5 of a meter?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1))\/l**(-1\/7) assuming l is positive.\nAnswer: l**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -23 * 5014.8\nAnswer: -115340.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 667536 - 34710147\/52. Let y = u + -584\/13. What is the common denominator of 1 - 1 - 43\/11 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 35 = 2*d, -5*h + 56 = -4*d + 101 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 88\/1496 + 1\/(-17). Solve x = -15*u - 27 + 102 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 263 = -203. Find the second derivative of 31*j**4 - 6*j**4 + c - 5 + 3*j wrt j.\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702413.\nAnswer: 702413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 14. Let c(b) = -4*b**3 - 2*b**2 - 2*b - 1. Let v be c(q). Suppose -2*x - 20 = -m, -v*x - 29 = -3*m + 19. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 41, -8717 in descending order.\nAnswer: 46, 41, -8717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert a2455 (base 13) to base 4.\nAnswer: 1012332332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -19 + 8 + 0 - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 16. Suppose f*l - 354 = 91. Suppose 4*k + l = x, -k + 0*k = -2*x + 213. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*p - 1)*(-32*p - p - 2 - 16*p)*(-5*p - 2*p**2 + 5*p) as v*p**3 + f*p**4 + c + g*p**2 + j*p and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 29*t**2 - 51*t + 81. Let k be j(-27). Sort k, -2, -3.\nAnswer: -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen halves of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 9*j + 3*j. Let q(w) = 4 - 6 + 15*w**2 + 1. Give q(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfk when three letters picked without replacement from {c: 1, z: 7, h: 3, f: 3, y: 1, k: 3}.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31 + 2706?\nAnswer: 2665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.76284 rounded to 3 decimal places?\nAnswer: -0.763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 834*k + 2562. Does 33 divide a(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + 2 + sqrt(2) + (sqrt(32) - sqrt(32)*-2) + -3))**2 + 1 + 1.\nAnswer: -5616*sqrt(2) + 13466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-1)\/2*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 0*n**2 - 5 + 4)*(1 + 18 - 6) - 3*n**2 + 4*n**2 - 4*n**2.\nAnswer: -42*n**2 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 237071873 to the nearest integer?\nAnswer: 15397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + n. Let r be s(0). Let o be (-1 - r) + (-8)\/(-2). What is the third derivative of 2*c**o - 3*c**3 - 2*c**2 + c**2 wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*n**2 + 400*n + 29310*n**3 - 29276*n**3 - 386*n - 1 as y + m*n + b*n**2 + u*n**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(3\/8)*w)\/w*w**2)\/(((w**(-5)*w)\/w)\/w*(w\/w**4*w)\/w)*(w\/(w\/(((w\/(w*w*w**(-1\/4)*w))\/w)\/w)))**(5\/17)*w**(-1\/9)*(w\/w**(1\/4))\/w assuming w is positive.\nAnswer: w**(13355\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 8:44 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 95971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 17448*f - 1222*f + 4252*f as n*f + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1220*l**2 + 35*l + 16. Let f(u) = 2847*u**2 - 80*u - 37. Give 10*f(z) + 23*h(z).\nAnswer: 410*z**2 + 5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k**2 + 2*k - 4. Let x(n) = n**2 + 7*n + 8. Let i be x(-4). Let g(l) = 3*l**2 + l - 2. What is i*y(t) + 9*g(t)?\nAnswer: -t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 9. Solve -4*k + c = -4*c, u = -3*k - 2*c - 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (-21 - (-41 + 20) - (3 - 9))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 321423547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 119627597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p = -14*p - 285. Let u = p + -99. Let t(b) = -2*b - 5. Let n(r) = -r - 4. Give u*n(o) + 3*t(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -3, -20, -43, -72, -107?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (4 - 2 - (-5 - -9))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 2*m**2 + 30*m + 3. Let t(v) = -v**3 - 2*v**2 + 34*v + 4. What is -6*n(r) + 5*t(r)?\nAnswer: r**3 + 2*r**2 - 10*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 3) + 42 - -3. Suppose -o = -6*j + 475. List the prime factors of j.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 88 + 32. Suppose -789 = -5*f + 2*h, -f - 3*h = k - 208. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 98, 59, 20, -19?\n\"Answer: -39*r + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/6, 0.1, -6\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12967, -32746, -52539, -72352, -92191?\nAnswer: -112062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -35, -120, -247, -404, -579, -760, -935?\n\"Answer: 2*j**3 - 33*j**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppvppppppppppp. What is prob of sequence ppv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 110\/10 + -18 + -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.86707 to one dp.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2371428 - -19034247\/8. Let i = 7863 - r. Find the common denominator of (7735\/(-30))\/13 + (-2)\/6 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 51, 1 in increasing order.\nAnswer: 1, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -169210*v**6 + 29*v**2 + 2*v - 17?\nAnswer: -20305200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2777, 5627, 8465, 11285, 14081, 16847?\n\"Answer: -z**3 + 2857*z - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 96250 divided by 3\nAnswer: 96250\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3662271 to the nearest integer?\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hdbhnmmhbmmd. What is prob of sequence hbmd?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 694*m**3 + 0*m**2 + 71161*m**3 + 0*m**2.\nAnswer: 71855*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onoonn. What is prob of picking 2 n and 1 o?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 + 1185 = 25*u. Let w = 18 - -2. What is the remainder when u is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**5\/20 - m**3\/6 + 7*m**2\/2 + 3382*m. Let j(w) = -w**3 + 2*w - 13. Calculate 7*a(q) + 4*j(q).\nAnswer: 3*q**3 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(-2 - 1 + 2)*(0*p + 2*p - p) + 62*p - 25*p + 95*p.\nAnswer: 133*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -39\/4, 2\/13, 3, 2\/11, -0.144?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4228172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1740\/(-225))\/29*55\/20*(-30)\/9?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.144? (a) 21 (b) -2\/25 (c) 0.3 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -11. Let g = n - -5. What is the nearest to -5\/4 in 5, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 4299684*v + 81695440.\nAnswer: -4*(v - 19)*(v + 1074940)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110001101110 + -11001?\nAnswer: 1001110001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 divided by -166?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjyfjffjjyj. What is prob of picking 1 f and 1 j?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*k**6*r + 22*k**3*r - 99*k**2*r + 24*k*r + 2*k wrt k.\nAnswer: -6120*k**3*r + 132*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2113140 by 1056570.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 11:22 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -976 divided by 2?\nAnswer: -488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 102 = -3*j + w, -4*w - 166 = -5*j. Suppose 9 = d - 2*t - 6, -3*d + 3*t = -j. Suppose -d*r - 5600000 = -r. Round r to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -37 + 85. Suppose -s + 52 = p*s. Suppose -3*g + 353 = s*z, -4*g = -3*g + 4*z - 123. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1.96. Let f = w - 1.04. Let a = -0.94 + 1. Which is smaller: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47259 + -21801. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65ee (base 15) to base 12\nAnswer: -105bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 11 - 50)*(9*t**2 - t**2 - 3*t**2) + 0*t**2 + 0*t**2 + t**2.\nAnswer: -189*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 6) + -3 + 5 + -5. Which is greater: w or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 24. Let n(g) = g**3 - 5*g**2 - 5*g - 4. Let k be n(6). Let j be v + (-54)\/11 + k. Which is the third smallest value? (a) 0.1 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + 3 - 2 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a millennium in decades?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 2*t**2 - 3. Let o(s) = 3*s**3 + 7*s**2 - 9. What is 7*c(m) - 2*o(m)?\nAnswer: m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u. Let r(m) = -4*m**2 + 3*m + 3. Let k(f) = 12*f**2 - 8*f - 8. Let j = 17 + -20. Let h(a) = j*k(a) - 8*r(a). Give h(t(s)).\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6519279061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/67)\/b*b*b*b*b**(-1\/46)*b\/b**(1\/29)*b*b**(7\/4)\/b*b)**(-22) assuming b is positive.\nAnswer: b**(-11225115\/89378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25506 is divided by 1490?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x + 2*f + 3, -3*x = 5*f - 20. Suppose x*h = 3 + 7. Suppose -5*z + 3*q + 77 = -0*z, 4*z = h*q + 60. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 52, 146, 270, 418, 584?\n\"Answer: -v**3 + 21*v**2 + 38*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.15 + -11.45. Which is the smallest value? (a) p (b) 0 (c) -0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 15 = 4*i. Let a(y) = y**3 - 6*y**2 + 6*y - 2. Let c be a(5). Let o be ((-1)\/c)\/(i\/12). Solve 2*t + s = 1, -t - 2*s = o*t - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726*v = 737*v - 308. Let u = -6 - -8. Let j be (-7)\/(v\/(-32)) + u. Solve -2*t = m + m + j, 4*m = -8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, -5, -0.3, 326?\nAnswer: 326","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2. Let y(q) = -3015846*q. Calculate y(s(t)).\nAnswer: 3015846*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 + s\/4 + 1\/2.\nAnswer: -(s - 2)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/168*49*2\/14. Suppose 0 = 3*y + 3*d + 6, 3*y - 2*d + 4 = -4*d. Let q*r**3 - r + 1\/2*r**2 + y = 0. Calculate r.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 49\/13, 0.2, 2\/11 in decreasing order.\nAnswer: 49\/13, 0.2, 2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -13*g - 27. Is n(-21) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/23 less than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -3\/7 (b) -0.1 (c) 1\/83 (d) -3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 != -46310122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3424 - 355. Calculate the greatest common divisor of 62 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.13870089227 + -777.13860219227. Let d = w - -777. Round d to six decimal places.\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*a + 1476, -6*a - 2*r - 1476 = -3*a. Is 2\/(-2)*a\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23410\/459227 + 2\/5813. Let g = f + 218\/1185. Let c = g + 4\/15. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + 2*k**2 - 4*k**2 + 4*k**2 - 3*k to the form x*k**2 + f + g*k**3 + y*k and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -21*o + 509. Let a be t(25). Let h(s) = -s**2 - 16*s - 5. Give h(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 328 and -48.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*q + q. Suppose -5*s + 32 = -q*b, 0 = -s - 2*s + 5*b + 14. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39240816?\nAnswer: 2, 3, 257, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 10. Suppose 3*d = -5*v - p*d + 5, -5*d = 3*v - 1. Suppose -5*k = 3*s - 4 - 53, -v*k + 2*s = -10. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 833 - 833.5. Sort 1.6, t, 1.\nAnswer: t, 1, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*r**2 + 171*r**2 - 63*r**2)*(-5*r + 4*r + 2*r) to the form h*r**2 + a + m*r**3 + x*r and give m.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/6*(-15)\/(-20)*-4. Suppose -51*p + 46*p + v = 0. Does 19 divide ((-548)\/12)\/(p\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260 by 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2 - 3) + 5 + 10\/(-105) and -40\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113180129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4, 13, 20, 11, -20, -79?\n\"Answer: -s**3 + s**2 + 21*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6215936)\/1664)\/(4\/(-26)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 211301 and 1909?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 19496, 1\/3 in increasing order.\nAnswer: -0.3, 1\/3, 19496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 85. Suppose g + 84 = 6*i. Calculate the remainder when i is divided by 1\/((-2)\/(-24) - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j**5 + 779*j**4 - 24463*j**3 + 172469*j**2 - 189370*j + 40592 = 0 for j.\nAnswer: 2\/7, 1, 8, 43, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -433*q**2 - 290 - 13*q - 307 + 597 to the form v + a*q**2 + o*q and give a.\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 17*c + 8088 = 0. What are the prime factors of c?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.077 - 0.18.\nAnswer: -0.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 16, 1, 7, 5 in decreasing order.\nAnswer: 16, 7, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.01 and 5.679044.\nAnswer: 6.689044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3 - (2 - 3)). Suppose -2*g + 1 = -i. Let a be 3\/2*28\/21. Which is smaller: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*x**2 - 203*x**2 + 19*x**2 + 20*x**2 + 27*x**2 + 20*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -1\/2*j**2 - 1\/6*j**3 + 5*j + 0. Calculate w(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -83*m**2 + 10*m - 7. Let n be f(-2). Is -20 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 70.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**6 + 2*a**4 - 241597*a**3 + 230*a**2 - 12740*a?\nAnswer: 480*a**3 + 48*a - 1449582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-32 - -6)\/(-2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 5292652680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40049, 101600, 163153, 224708, 286265, 347824, 409385?\nAnswer: 470948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365881631.\nAnswer: 23, 53, 300149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -348077 and 0.04?\nAnswer: -13923.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 223 - 223.00000096. What is v rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-9) - (-9520)\/(-1530).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259*o + 283*o - 24*o + 55*o**2 + 81*o**2.\nAnswer: 136*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 720764149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (56 + 117 - 168) + (48 - -1)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -124. Suppose -4*n + o + u = -0*n, -4*o = 0. Suppose 3*w - 2*z - n = 0, z + 6 = w - 0*z. Solve -3*c + 6 = -w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(2*o - 3*o + 3*o) + 4*o - 6*o - 5*o + 2*o - 2*o - o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8981, 17936, 26881, 35810, 44717, 53596, 62441?\n\"Answer: -l**3 + l**2 + 8959*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/((d\/(d\/(d*d**1*d*d*d)))\/d)*d*d)\/d)**(-22\/9)*(d*d*d**0)**3*(d**(-2\/3))**(-44)\/(((d*d**1)\/d)\/d**(-4\/5)) assuming d is positive.\nAnswer: d**(1619\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 1:52 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2208956 is divided by 659.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(2\/7)\/u*u)*u)\/((u\/u**(-8))\/u) assuming u is positive.\nAnswer: u**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 2:34 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*b**2 - 6 + 10*b**2 + 41*b**2)*(2*b**3 - b**3 - 2*b**3).\nAnswer: -19*b**5 + 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706254 is divided by 29427.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 0.1, -1907 in ascending order.\nAnswer: -1907, -65, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*t - 1 + 3483*t + 1.\nAnswer: 3672*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Let h = 23 + -22.91. Let f = h + -0.19. Sort m, -3, f in increasing order.\nAnswer: -3, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 6. Let y = 1.9 - 2. Let q = -15153 + 15153.4. What is the biggest value in 1\/4, y, d, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3, 11161, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 72 = 4*o. What is the greatest common divisor of o and 168?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 5, q: 4, i: 1, j: 1}. What is prob of picking 1 b, 1 j, and 1 q?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 times -0.5?\nAnswer: 0.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10106 + 10106 + 350*p + (-4*p + 3*p + 3*p)*(-2 + 0 + 1) - 2*p + 4*p - 4*p + (-2 - 2 + 3)*(-3 + 2 + 0*p + 2*p) to the form z + d*p and give d.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 1 = 21, -3*k = -2*o - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/5)\/4)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506226687?\nAnswer: 3, 2053, 82193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 + -0.07. Let t = 0.1221 - -0.3179. Let h = f - t. What is the smallest value in 29, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 3*t - 70*t + 97 - 324, 0 = 3*t - 3*v + 87 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 11:48 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*a**5*c - 7*a**3*c - 15*a**2*c + a*c + 4*c wrt a.\nAnswer: 600*a**2*c - 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/2958 and 28\/998359?\nAnswer: 173714466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -3\/2*n**3 + 0 + 1\/24*n**4 + 5*n**2 + 0*n. Suppose -3*r = l + l + 12, 5*l + 4*r + 16 = 0. Calculate c(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - 33. Calculate the remainder when 103 is divided by (0 + n\/15)*20\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (25 - 23) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -118.53 + 118. Let a = -0.33 - n. What is the third biggest value in a, 3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429749384.\nAnswer: 2, 7001, 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 2:27 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 6. Suppose 2*b = 3*j + d, 3*b + 1 = -3*j - 14. Is 14\/(-21)*(j + 1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1158872 by 89144.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-4) + 9\/12. Sort x, 1, 2, 26.\nAnswer: x, 1, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2249632 by -88.\nAnswer: 25564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 7*g + 6. Suppose 2*o - 8 = 0, 5 = -6*a + 3*a - 4*o. Let u be p(a). Let w(f) = 6*f - 15. Is w(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20467 plus -15704?\nAnswer: -15704.20467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/3)*x)\/(x*x*x**0))**31*(((x\/(x\/((x\/(x\/x**4))\/x)))\/x*x*x*x)\/(x\/(x**(4\/9)*x)))\/(x*x*x**(2\/5))**(-21) assuming x is positive.\nAnswer: x**(-742\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 15*w + 447. Calculate the remainder when 197 is divided by a(-28).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuluuluulu. Give prob of picking 2 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o + 40*o - 1 = 0. Let p be ((-12)\/4)\/30*o. Sort p, -4, -3\/2 in increasing order.\nAnswer: -4, -3\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.011 - -0.889. Let t = 7.9 - y. Let h be 2 + -2 + -1 + 1. Which is greater: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 547 + -1?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/87 - 26\/114?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -279, -454, -629, -804?\n\"Answer: -175*b - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a century in decades?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 less than -3.086?\nAnswer: -26.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3143, -4391, -5639, -6887, -8135, -9383?\n\"Answer: -1248*k - 1895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 226676 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1450 and 121220?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*u + 2. Are 2\/9 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 11*j**2 + 273*j - 3424. What is q(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16)\/(-56) + -5 + 1112\/28 is divided by 4\/(-8) + 54\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 1\/8 (b) 0.7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 5.7 (c) -2\/11 (d) -0.3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (0 + 0 + -11757)\/(1016\/(-2032))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3127\/66 - 402\/11. Find the common denominator of -139\/6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -27 (c) -31 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11619703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 2. Let v(g) = -g - 2. Suppose -14 = -3*m + 5*s, m = s - 5*s - 1. Let y(f) = -m + 2*f + 3*f + 3. Let t be y(1). Give t*x(w) + 6*v(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.2822935s to days.\nAnswer: 0.00006113765625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12461721 is divided by 182?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 49\/(-2520)*22\/(-77). Let i(s) be the third derivative of 0*s + 0*s**3 - q*s**5 + 0 - 35*s**2 - 1\/72*s**4. Solve i(d) = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.38739 and -12.\nAnswer: -11.61261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -127378 + -23726.627?\nAnswer: -151104.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3524913189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, j: 9, u: 1, i: 2, g: 3}. What is prob of picking 1 g, 1 u, and 1 i?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 10*l**2 - 6*l + 24. Suppose -56 = q - 5*q - 4*n, -5*q - 4*n = -66. What is the hundreds digit of g(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -72*d + 52. Let t be b(12). Let f = -798 - t. Let r(k) = 2*k**3 - k**2 + k. Let z be r(2). Solve -3*v + 2*w = v + z, -v - 3*w - f = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -6*m**4\/11 + 634*m**3\/11 + 5058*m**2\/11 - 9418*m\/11 - 33900\/11 = 0.\nAnswer: -25\/3, -2, 3, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2\/4 - (1 - (-1032)\/1872).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbyymybbyyymmbme. What is prob of sequence myme?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 144 + 150 = 0. Let -179*d + 89*d + 2*d**3 + 92*d - 4*d**j = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1873, -1.\nAnswer: -1873, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 446040 and 924.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -18*u - 1. Let m(d) = d**2 + 7*d - 9. Let n be m(-7). Let c be -9 - n - (-1)\/(-1). What is the remainder when 49 is divided by v(c)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29634 or 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/74 and -50\/303.\nAnswer: 22422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(0 + 0 - 2*c)*(-64 - 66 + 43).\nAnswer: -522*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 16) to base 8\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*b + 13. Let g(m) = 2*m**3 + m - 3. Let k(n) = 3*n**3 + 2*n - 4. Let c(z) = b*g(z) + 3*k(z). What is the second derivative of c(t) wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**2 + v + 4. Let k(b) = b**2 + 4*b - 13. Let g be k(-6). Let c(i) = i**2 + i + 1. Determine g*m(d) + 3*c(d).\nAnswer: -3*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 432710380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8470635.9731 - -8471303. Let z = 667 - f. Round z to 3 dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/6, -1\/5, -0.3, -6 in increasing order.\nAnswer: -6, -19\/6, -0.3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 556024, 556029, 556034?\n\"Answer: 5*r + 556019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 21*o + 50. Let a be h(-7). What is the highest common divisor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913692345.\nAnswer: 3, 5, 60912823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -738 divided by 2.\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139025.\nAnswer: 5, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*p - 73*p + 64*p to a*p + u and give a.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**5\/60 + 7*a**4\/24 + a**3\/6 + 38*a**2 + 2. What is p(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1167\/30 - (-5)\/50. Does 16 divide 1*b*(12 + -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15 + (-3 + 5 - 6). Solve -2*x + l = u, -23 = 5*x - 2*l + 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26142, 1, -1, -1\/3 in decreasing order.\nAnswer: 1, -1\/3, -1, -26142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.93 + -14.23. Which is the nearest to -0.1? (a) 5 (b) p (c) 4 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 69. Which is the second smallest value? (a) 2 (b) -2\/9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 22373*t**2 - 185*t - 3068. Let g be a(-19). What is g rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -307*r. Let u(z) = 308*z. Determine -5*h(b) - 6*u(b).\nAnswer: -313*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (12 - -3) + (5 - (-12 - -3 - 21))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 254094 and -7956.8131.\nAnswer: 246137.1869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -0.084 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2505 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlg when three letters picked without replacement from gglllhhghhl.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 141120101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 294*o**5\/25 - 133*o**4\/5 - 304*o**3\/5 - 198*o**2\/5 - 54*o\/5 + 249. Suppose j(r) = 0. What is r?\nAnswer: -3\/7, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 382*x**3*z**2 + 5*x**3 + 4*x**2*z**2 + 66847*x**2 - 53*x*z**2 - 3*x - 5*z wrt z.\nAnswer: 764*x**3 + 8*x**2 - 106*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 14 = 2*g - g, -21 = 5*h + 4*g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410631382.\nAnswer: 2, 7, 19, 61, 25307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -17*t. Let d(m) = 47*m + 235. Let y(p) = 5. Let l(x) = -d(x) + 47*y(x). Give w(l(h)).\nAnswer: 799*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 342?\nAnswer: 342.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 4*n + 2*n)*(15 - 2 + 3 + (-1 - 2 + 1)*(-2 + 3 + 0)) to s + t*n and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 108*o + 775 + 461 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23262918997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 18 = 2*z, -217*z - 3*t - 27 = -212*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 6:34 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 3:12 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, p: 3, h: 3, y: 2}. Give prob of picking 2 h.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 2:34 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1080*f + 659*f + 495*f + 4144 = 0 for f.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(147))**2 - sqrt(147))*4.\nAnswer: -140*sqrt(3) + 604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*g - 52 = r - 2*r, -44 = -3*r - 2443*g + 2444*g for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*s - 3*n - 0*n, 1 = -s + 3*n. Suppose -s*h + 1833 = 3*g, -1099 = -3*h - 64*g + 62*g. Calculate the greatest common factor of 41 and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 15*a**3 - 4*a**2 + 3*a + 2. What are the prime factors of d(3)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-17)\/3)\/(35\/15).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*a**4*v - 6*a**2*v**2 + 248*a*v**2 + v**2 wrt a.\nAnswer: 120*a**2*v - 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 2:03 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-410)\/(-1312)*-24)\/(39\/(-60) + 2\/4).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d - 13*d + 2. Let s(r) = -d - 10*r - 7*r + 7*r. Let m be ((-15)\/10)\/((-6)\/(-8)). What is s(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-7) - (-4)\/(-14). Let o be (5\/(-2) - 0)*(-240)\/(-600). What is the closest to o in 5\/6, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129*i + 568*i + 216*i to x + s*i and give s.\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1363 + -1261 + 0 + -87.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t**3 - 36 - 3*t**2 + 44 + 3*t**2 - 83*t**3 as j*t**3 + m*t**2 + y + q*t and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1041\/(-9))\/(11\/(-33)) - -3. Let d be (-42)\/(-4)*500\/g. Suppose 3*w + 2*w + q = 375, -75 = -w - 3*q. Calculate the highest common divisor of w and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196146 and 1224?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 k, and 1 y when three letters picked without replacement from {k: 1, h: 2, y: 3, n: 7, v: 7}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*t = -8, 61*p - 56*p - 5 = -5*t. Let q be 0\/(-1 - 1\/(-1) - p). Solve w = -2*g - 4*w - 18, q = -3*g - 3*w - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*j**3*m**4 - j**3*m + 15*j*m**4 - 7*j*m - 9*m wrt m?\nAnswer: -156*j**3*m**2 + 180*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-572871)\/129025*(-5)\/3.\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*a = -125*a + 8350 - 14103 - 13882 for a.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/3 - -1 - -2. Suppose v = 5*i - 95 - 50. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39413.\nAnswer: 11, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 29*a**2 + 949*a**2 + 2.\nAnswer: 920*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6648709 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -955 + 969. Calculate the lowest common multiple of i and 11 - -3*1\/(-3).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(80)\/sqrt(5))\/sqrt(8).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 8*i**7\/105 + i**6\/120 + 52*i**3\/3 - 234*i**2. Find the first derivative of d(f) wrt f.\nAnswer: 64*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*q**2*s**2 - 3*q**2*s + 20507*q**2 + q*s + 48*s**2 wrt s?\nAnswer: -10*q**2*s - 3*q**2 + q + 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -5 + -15 + (-11 - -24 - 14)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + j - 1. Let x(n) = -n**2 + 6*n + 16. Let u(b) = -b - 3. Let p(q) = 11*u(q) + 2*x(q). What is 6*h(s) - 5*p(s)?\nAnswer: -2*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 852479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -5*g - a, 2*g + 4*a = -0*a + 60. Let d be (-1)\/7 - g\/7. Let i(l) = 3*l**3 - 4*l**3 - 3*l**2 - 3 + 0*l**2. Calculate i(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546804131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 2. Let p be b(2). Suppose -2*x = -p*j + j - 2282, 3*j + 2290 = 2*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38586791741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.11084 + 0.0587. What is n rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 14, e: 4}. What is prob of picking 2 e and 1 x?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 = 4*n - 4*j, -32*j = 2*n + 686 - 918 for n.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 5*o**2 + 9*o + 4. Let i be h(-6). Let q = -10 - i. What is the greatest common divisor of 12 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 8*l - 82*l. Solve -5 = 2*i - 5*d + l*d, -4*i - 1 = 3*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124 - -124. Solve 3*r = -o*r + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 214 and 46438.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45073?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 328 = 4*z, 2*p + 680 = -z + 59. Calculate the smallest common multiple of 12 and (-23)\/(-4) + (-7)\/p*11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = s - 21. Let t = 45 - s. Let q = 44 - 38. What is the lowest common multiple of q and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, -1\/4, -16?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (2 + 3)*-2. Suppose -p*b + 195 + 27 = 0. Let x(h) = 2*h + 3. Let v be x(7). Solve 3*y + y - b = 5*t, -t - v = -4*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, k: 1, y: 4, b: 5}. Give prob of sequence kbb.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/72*(-33)\/88?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -568*i + 94*i + 87*i + 110*i + 91*i + 93*i + 91*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*p - 5*a, 0 = -5*p - 3*a - 2 - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/8 - 3703*x**2\/8 - 8669*x\/4 - 1239.\nAnswer: (x - 1239)*(x + 4)*(3*x + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {q: 6, a: 12}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than or equal to 7.56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/922810 and 73\/1054640.\nAnswer: 7382480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102925 + 39195 = 2877*m - 33377 for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -525224?\nAnswer: 1\/131306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -74383 minus 1?\nAnswer: -74384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*g - 4*g + 4*n - 72, 12*g - 15*g = 3*n + 54 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114462?\nAnswer: 2, 3, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/16417 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2. Suppose 8*i = 7*i + 4. Let z(t) = 4*t**2. Let m(n) = i*z(n) + 3*j(n). Let k(p) = -p. Determine m(k(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(128) + (sqrt(128) - (-5 + sqrt(128)))) - ((sqrt(2) + -2 - sqrt(2))*3 - sqrt(24)\/(sqrt(48)\/sqrt(4))))**2.\nAnswer: 2256*sqrt(2) + 4994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -774\/5*o**2 + 4\/5*o + 1536\/5*o**3 + 0 - 766\/5*o**4 = 0. What is o?\nAnswer: 0, 2\/383, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -869*y**3 - y**2 + 1268*y.\nAnswer: -5214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.28 - -6.72. Let b be (-1)\/(-3)*(1 + (-4)\/28). What is the nearest to b in 3\/2, k, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -0*d + 4528. Calculate the common denominator of 71\/14 and 4\/(-14) + d\/(-336).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 912, 913, 914?\nAnswer: 915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 245?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 4*g - 73 + 2*g**2 + 1\/3*g**3. Let u(a) = -5*a - 5. What is -5*b(v) - 4*u(v)?\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -149\/21 - -45\/7. Which is the second biggest value? (a) 3\/4 (b) 7 (c) -0.2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669865663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 2:40 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -2128 in descending order.\nAnswer: 2, -2, -2128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103762920?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(55)*-2 + sqrt(165)\/sqrt(3)*-2)\/(-6*sqrt(35)\/sqrt(175)).\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 697697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2022, 2307, 2596, 2889?\nAnswer: 3186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 10*k = -39053. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 29761*x.\nAnswer: -29761*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 139 = -d - 165, 0 = 3*p - d - 70. What is the remainder when 138 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 35151707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 5:16 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m - 7. Let c be d(10). Let x = c + 75. Suppose -x = -n + 52. Is 40 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6*v - 18 = 7*v, -5*i + 70 = -v. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((6*(sqrt(1300) + 1 + sqrt(1300)) + -4)*-1)**2.\nAnswer: 480*sqrt(13) + 187207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0227 - 1.4173. Let t = i - -6.44. Which is the fourth smallest value? (a) 2 (b) t (c) -3\/5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*f - 0 - 2, -5*p - 4*f = 35. Suppose 0 = -3*o - 0*o. Suppose 5 = -d - o*d. Put 1, p, d in descending order.\nAnswer: 1, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -19 (c) -8\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4920 and 1599?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 594768487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52425680?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zizi when four letters picked without replacement from {r: 1, i: 3, l: 2, z: 6}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from {j: 10, l: 4}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-2 - -3) - (65 + -75).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22.8 and -1?\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4716.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 15 = 5*h - 2, -3*h - k - 1 = 0. Let d be (11\/(-7) - h) + 1. Suppose 6*z - z = 5. Which is the third biggest value? (a) d (b) -1\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 25*u + 207. Calculate f(33).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3698\/1425 + -230\/57. Let g = 11448\/19105 - -3\/3821. Find the common denominator of s and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43027740\/450 + (-1 - 12\/(-15)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.531 + -0.139. Let l = 1.17 + x. What is the biggest value in 1, l, 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30719 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) 2.4 (c) 0.26 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 117*i + 144*i + 12*i.\nAnswer: 271*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(77) - 3*sqrt(77))*1)\/((sqrt(63) - sqrt(7))*-5 - sqrt(847)*-2) + 0.\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 4*z**2)*(17*z + 4*z + 0*z + (-2 + 4 - 3)*(-1 + 1 + z)).\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 958 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z + 58*z - 28*z + 3*k = 23, -k = z - 13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 995257 and 491?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103.20878 + -0.33878. What is t rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3023 = -5*o + 2*z, 0 = o - 3*z - 414 - 188. List the prime factors of o.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 24. Let f be s(-13). Suppose 2*d = -y + 180, 14*y - f*y = d - 175. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/5))**(-24))**(-15) assuming q is positive.\nAnswer: q**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - 3. Give n(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473*a - 4100 = 423*a. Calculate the remainder when 1079 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1031256952.00000065 - -1031256975. Let y = l - 23. Round y to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 474 - 1b?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*a - 8 = -2*g + a, -5*g + 4*a = a - 26 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 2. Let b be f(-6). Suppose -j + 180 = 2*l, l - 5*j - 61 - 51 = 0. Let d = l - 90. Sort -2, d, b in decreasing order.\nAnswer: d, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) 0.2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oppoiiiipiii. Give prob of picking 2 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2447394 + -2?\nAnswer: 2447392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, k: 2, p: 2, t: 2, z: 5, w: 5}. Give prob of picking 1 k and 2 w.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + 0 + (5 + 1 + sqrt(468) - -6*2*sqrt(468)))*5*1)**2.\nAnswer: 23400*sqrt(13) + 1978200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {c: 2, a: 5, i: 10, j: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/12 and 137\/2520?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 4. Give a(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*u - 378*u**2 - 145*u**4 + 0 + 377*u**2 to the form m*u**4 + n*u**2 + c*u**3 + s*u + r and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/572 and -59\/728?\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58055 + 5?\nAnswer: -58050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b + 4061 = -10*b. What is the remainder when 260 is divided by b?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**6\/30 + 4*w**3\/3 + w**2. What is the first derivative of i(x) wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**6\/1260 + 67*p**5\/70 + 4343*p**4\/12 + 12943*p**3\/9 - 2*p**2 + 39*p + 16. Factor c(j).\nAnswer: 2*(j + 1)*(j + 301)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) -44\/23 (c) -0.3 (d) 5 (e) 0.5 (f) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15218 + 15332. Solve -35*w + x*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-14))\/(2\/(-14)). Suppose c*j - 876 = -4*r, 442 = 2*j + 3*r - 2*r. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27601 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 3*x + 51, -394*r + 364*r - 4*x + 36 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 - -161. Suppose f*d - 24*d = 340. Calculate the remainder when d is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-7 - (0 + -16 - -2))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -203 - -23. Let f = -128 - k. Calculate the highest common divisor of f and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/50 and 11780\/(-9975) - 2*2\/12?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/10561 - 31697\/73927. Let c be 1\/(-2) + 1\/2. Let a(u) = u + 1. Let h be a(0). What is the nearest to c in g, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48221.5 + -619\nAnswer: 47602.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*d + 12182 + 109562. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) 699 (c) 6 (d) -3 (e) -3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from nccnnvovnnvn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 616483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 - 2)*(-1 - 1 - 1 + 1 + 0 - 3 + (-2 + 3 + 2)*(-4 + 2 + 4))*(8*m + 3*m - 3*m + (-4 + 1 + 4)*(-m - 2*m + 4*m)).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.3, 2334, -12, 0, 102 in increasing order.\nAnswer: -12, -0.3, 0, 5, 102, 2334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97022 is divided by 50.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9823.6 - -9824. Let z be 18\/(-112) - 2\/(-7). Which is the third biggest value? (a) z (b) 0.1 (c) -5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q + 58. Calculate the remainder when j(9) is divided by 6\/(((-14)\/(-9))\/7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 8*k + 9. Let j be a(7). Suppose j*v - 2*h = -10, 2*v - 6*v - h - 20 = 0. Let q = -8 - -13. Put q, 1\/6, v in descending order.\nAnswer: q, 1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 326)*4\/8. Let f = l + -133. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 201 + 23. Suppose 0 = 6*l - 32 - t. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*s - 91 = -3*l, 2*l - 84 = -2*s. Factor 80*c**2 - 12 - 38*c**2 - 28*c - l*c**2.\nAnswer: (c - 6)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 4109, -3, -23 in decreasing order.\nAnswer: 4109, 4, -1, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -190.27 + 190.37. Which is the smallest value? (a) 1 (b) h (c) -0.2127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 388 and 485.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2)**37\/(h\/h**(1\/4)*h\/(h\/(h\/h**(-6)))) assuming h is positive.\nAnswer: h**(265\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20387 + 20387.0036014. What is x rounded to four dps?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 11*x + 3 = 0. Suppose -x*y + y - 3*b + 7 = 0, 3*b - 5 = -y. Solve 4 - 2 = -y*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a6333 - -cc?\nAnswer: -a6234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89.4 - -23.5. Let z = -113 + j. Let t = 95\/7 - 1439\/105. Which is the third smallest value? (a) 0 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -21. Suppose 0*m - 3*l - 11 = -5*m, 4*m + c*l = 0. Suppose -5*h + 3 = -7. Solve -m = -p - 4*u + 3, h*p + u = 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4 - 5673*o**3 - 2690406*o**2 - 8031552*o - 5346816 = 0.\nAnswer: -944, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 4*y + 5. Suppose 9 = d + 14. Let a be o(d). Suppose a = 5*v - g - 2339, 0*g - 2*g - 1409 = -3*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*u + 4, -2*n + 3*u + 6*u = 25 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3*d - 76. Suppose 5*c - 10 = -0*k + 5*k, 4*k = -5*c - 26. Let s be 1*38\/(5 + k). Calculate the greatest common factor of s and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 122490703616346?\nAnswer: 122490703616351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgot when four letters picked without replacement from toghcgggg.\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-1)\/(4\/(-502)). Let y(u) = 251*u - p*u - u**2. Let l(j) be the third derivative of -j**5\/5 + j**2. Calculate l(y(r)).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6*n = 0. What is the units digit of (n + -2)*(-3 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 68?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihuxhxc. Give prob of sequence xc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 542\/(-542) - (-3 + (-48)\/(-14))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3*(-245)\/175.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-25 + 23 + -27).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/99 and 22\/14512725?\nAnswer: 159639975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3321 + -313321?\nAnswer: -310000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/(-150))\/((-52)\/(-780)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s. Suppose 0 = 2*j - j + d - 18, -5*j + 5*d + 90 = s. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/4280284 and -131\/363824140?\nAnswer: 363824140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - f - 5*l + 75, 2*f - 5*l - 51 = 0. Let n be 1 - (-22)\/(-8) - (17 - f). Which is the third smallest value? (a) n (b) -1\/2 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -752*q + 747*q = 1595. Are -0.07 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 x, 1 y, and 1 r when four letters picked without replacement from tstyexr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 = -s + 4*p, -5*s + 0*p - 76185 = -2*p - 76271 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*q + 14 = 0, -3*q + 5*q - 58 = -3*u. Is (126\/10)\/(u\/270) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/((-13)\/(-6)) + 1. Let f = 17 + -17. Put f, k, 7 in descending order.\nAnswer: 7, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88683 - -434283. What is t rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 164043816, 164043819, 164043824, 164043831, 164043840, 164043851?\n\"Answer: c**2 + 164043815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 11*a = 6*a - 166880, -5*h - 4*a = -166799. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**3 - a**2. Let w be -7 + 3 + 4 + -1. What is i(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12981 + 292*f - 12981 + (16*f - f + 4 - 3)*(0 - 4 + 2) to u*f + g and give u.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and -15849562 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*b + 15341 = -88*b + 212*b + b for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*d + 0 + 0 + (-d + 4*d + 0*d)*(3 - 1 - 1).\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 11*w - 1. Give c(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*t - 75 = 122*t + 3*r, 0 = -2*t + 2*r + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = -33 + 1. Suppose 4*o - n*o - 17 = -3*k, 4*o + 20 = 0. Solve 4*s = -1 + k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1409 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*1 - (1 + (-6 - 4) - -3). Is -1\/3879 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1331 is divided by 99?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - f + 2. Suppose 2 = 4*h - 2. Let w be p(h). What is the third derivative of -26*y**w - 8*y**5 - 23*y**2 + 58*y**2 + 0*y**5 wrt y?\nAnswer: -480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 34276934.\nAnswer: 34276934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 6:20 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - 5*o + 8. Suppose 4*u - 10*u = 12. Let a(d) = -d**2 + d - 1. Let l(r) = u*a(r) + m(r). What is the units digit of l(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7871 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 6*u - 3. Let z(b) = 3*b**2. Calculate i(z(x)).\nAnswer: -18*x**4 - 18*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 3*f - 643*f**3 + f - 4*f + 646*f**3.\nAnswer: 3*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 - 5*o**3 + 3*o**2 - 16*o**2 + 3*o**3.\nAnswer: -2*o**3 - 13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 27012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - h + 4*h)*(4 + 2*h - 4) + (0*h**2 + h**2 - 12*h**2)*(-3 - 4 + 5) in the form f + v*h + a*h**2 and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4 - 4) + 4 - 15) + (56 - 56)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -27503, 111 in descending order.\nAnswer: 111, 5, -27503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/7)*o**12*(o*o**5)\/(o\/(o\/((o\/(o*o**(-2\/3)*o))\/o))*o))**(4\/7) assuming o is positive.\nAnswer: o**(1504\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.66 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269110635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igdnjgjgii. Give prob of sequence gii.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3598*c**2 + 880*c - 877. Determine y(1).\nAnswer: -3595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -914*p*q**2 - 9576*p*q + 143422*q**2 - 305 wrt p.\nAnswer: -914*q**2 - 9576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1825053 + 1825053 - 25*k.\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cd589 - -1a?\nAnswer: cd5a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 1:48 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4855 * -0.2\nAnswer: -971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2 + 5. Let i be w(-3). Let y = -17 - i. Suppose y*o = -3*g + 186, -o - 80 = -3*o - 4*g. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdccdccckkck. What is prob of picking 1 c and 3 k?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293057.\nAnswer: 227, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1310342 - -13?\nAnswer: -1310325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 1. Let t(u) = 13*u**4 + 6*u**3 + 22. Let s(p) = -t(p) + 6*w(p). Find the first derivative of s(h) wrt h.\nAnswer: -52*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 375 * 388.\nAnswer: 145500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 8*c**2 - 2*c + 7. Suppose 5*r - 5*j - 580 = 0, -85 = -4*r + 5*j + 383. Let g be 4 + r\/35 + (-4)\/(-5). What is n(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 19*i**2. Let p(a) = a**2 + a - 1. Let b(x) = 2*x**2 + 3*x - 3. Let y(s) = b(s) - 3*p(s). Give j(y(g)).\nAnswer: 19*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0 - 12 = 0. Let q(j) = -j**3 + 7*j**2 - 5*j - 4. Let u be q(6). Suppose 0 = u*l + i - 0. Which is the closest to 2? (a) -0.5 (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2 + (5 - 4 + 1)*(2 + 1 - 4))*(-12*z + 43 - 43).\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 8:16 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 133 and 570.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 29 - 606*n - 2*n**2 - 607*n + 1203*n. Let f be c(-6). Is f at least 164\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 39\/(-45) + (-1)\/(-5). What is the nearest to 1\/2 in 1\/2, 5, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 6*c + 0*c)*(-11 - 7 - 14)*(-3*c + 4*c - 2*c) - 2*c**2 + 3*c - 3*c.\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 + 23 = 3*w. Does 24 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6852, -13707, -20562, -27417, -34272, -41127?\nAnswer: -47982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 6, 0.095, -0.05, 0.19, 1\/4, 4?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53\/57 + -24\/19. Let z = 10 + -9. Let n = 0 - z. Which is the nearest to w? (a) n (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14647*h - 14649*h + 29290*h - 134)*(8 - 4 + 0) as d*h + c and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**4\/4 + 349*b**3 - 14083*b**2\/4 - 16175*b\/2 - 4218 = 0.\nAnswer: -1406, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c + 19 - 15 - 2 + 3. Determine b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 s, and 1 i when three letters picked without replacement from {s: 5, g: 2, i: 2, u: 4}.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**5 - 132*q**2 - 21331*q wrt q?\nAnswer: 20*q**3 - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*i**2 - 22818154195504*i + 22818154195504*i - 89*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = z - 36, 4*t - 108 = -5*z - 75. Sort 4, -4, z, 9, -14 in descending order.\nAnswer: 9, 4, z, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (10 + (-8 - (-11 + 13)))) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3618 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2484)\/(-189) + 56\/(-49)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8031052.\nAnswer: 2, 2007763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501912.\nAnswer: 2, 3, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*p + 14. Let w = 620 - 566. Calculate the remainder when w is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2779*m**3*q**3 + 6*m**3*q + 2*m - 115*q**3 - 3*q**2 - 2 wrt m?\nAnswer: -16674*m*q**3 + 36*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*d - 2678 = 244*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d**2 - 42*d**2 + 24*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2 + 15*v + 10. Let r(i) = 26*i**2 + 74*i + 50. Let o(f) = 22*j(f) - 4*r(f). Find w, given that o(w) = 0.\nAnswer: -5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 5*a - 1. What is c(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4220*b**2 + 14*b. Let f(c) = -4226*c**2 - 12*c. What is -7*f(x) - 6*j(x)?\nAnswer: 4262*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -111011100100 (base 2) in base 14?\nAnswer: -1564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 743*z - 177*z + 58.\nAnswer: 566*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11504 - -1?\nAnswer: -11503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012453 (base 9) to base 11.\nAnswer: 671955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**2 - 6*h - 6. Let j(c) = -c - 2*c + 4*c + 5 + c**2 - 4. Let i(t) = -6*j(t) - x(t). Let w(b) = -49*b. Give w(i(a)).\nAnswer: 98*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 34. Let j = 13 + z. Let o = 4.5 - 3.5. Which is the nearest to j? (a) -1\/3 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1705*z. Let t(y) = -59*y. Determine t(k(b)).\nAnswer: -100595*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -3, 16, -4, 33.\nAnswer: -4, -3, -2, 1, 16, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(102)*5)\/(sqrt(48)\/sqrt(2)) + 1.\nAnswer: 1 + 15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/(36\/(-36))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -8 - 64100\/(-5) - (14 + (-6 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aa745 (base 12) to base 16.\nAnswer: -371a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j + 25*j - 8*j + 31*j**3.\nAnswer: 31*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 9:48 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-21) + (-26)\/(-6). Put -3, 2, m, 5 in descending order.\nAnswer: 5, m, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 703*x + 1. Let s be r(-1). Suppose 3*p - 2899 = -5*z + 1342, -2*z + 7062 = 5*p. Let h = s + p. What is h rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 96b6980 + 0?\nAnswer: 96b6980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-4))\/(15\/(-28460)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -5*n + 30, 0 = -6*n + 10*n - 2*p - 24 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = o + q + 30, 4*o = -5*q + 5. What is the units digit of 3\/5 + (-82)\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3034120 - -2?\nAnswer: -3034117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4596 - -1103149\/240. Calculate the common denominator of -59\/480 and z.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**5 - 223*r**4 - 2652*r**3 + 7*r**2 + 7*r. Let t(x) = 5*x**5 + 224*x**4 + 2651*x**3 - 6*x**2 - 6*x. Let n(c) = -6*h(c) - 7*t(c). Factor n(a).\nAnswer: -5*a**3*(a + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 74 = 4*k - 6*k, 3*k + q = 106. Let h be 5\/(k\/(-24)) - -4*1. Let -4\/7*i**4 + h*i**2 - 2\/7*i + 2\/7*i**5 + 0 + 0*i**3 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -525280 by 105056.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.2 and -2?\nAnswer: 32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 54763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 5. Suppose 2*k = k - 4. Is k at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1 + 10 - 2*s**2 - 11. Let v(n) = 5*n**2. Give m(v(f)).\nAnswer: -50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10023255 to the nearest integer?\nAnswer: 3166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -404, 5, 395, 4.\nAnswer: -404, -4, -3, 4, 5, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000703 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8911 and 7182?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 14. Suppose 0*u + 2*c = 2*u - 266, k*u - 248 = -4*c. Let v = u - 35. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.86846ml in litres?\nAnswer: 0.09286846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -11*m**2 + 16*m. Give r(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 5*d - 35, -c + 3*d - 4*d - 3 = 0. Let l(v) be the first derivative of 1\/11*v**c - 2\/33*v**3 - 4 + 0*v. Factor l(q).\nAnswer: -2*q*(q - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a. Let k(b) = 9804*b**2. Give h(k(o)).\nAnswer: 29412*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -2, -1, 1\/7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - f = -3, 1484*f - 745*f - 738*f + 4 = 3*v + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 2*n - 24, -n = 4*l - 26 + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 x when three letters picked without replacement from wwxwxwiwww.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 - 38*l\/3 + 40.\nAnswer: 2*(l - 15)*(l - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9364, -18792, -28220, -37648?\nAnswer: -47076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 4 (c) 52\/5 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0172 + -7197.2182?\nAnswer: -7197.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/2834 + -26225\/9919. Let v be 21\/(-30)*(-9019)\/(-2). Let n = -3156 - v. Calculate the common denominator of i and n.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1700 and 4216.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-6)\/(-4))\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 - -154. Let p = o - 42.7. Put 1.1, 3, -0.1, p in increasing order.\nAnswer: -0.1, p, 1.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 797, 721, 645?\n\"Answer: -76*n + 873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1043729, -1043706, -1043675, -1043636, -1043589?\nAnswer: -1043534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 515*o**2 - 311*o**2 - 567*o**2 + (2 - 1 - 3)*(4*o**2 - 5*o**2 + 2*o**2) - 23*o + 23*o + 10*o**2 in the form p*o + f*o**2 + v and give f.\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1514 = 2*a + 466. Suppose 0*o = 5*u - 3*o - 2569, u = 4*o + a. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1245 - 4?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 17 = -4*z, 1861*z - 1862*z = 2*b + 6 - 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 394*4\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 w when four letters picked without replacement from wwapw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(114) + (sqrt(114) + -2*sqrt(114) - sqrt(114))) + sqrt(114) + sqrt(114) + sqrt(114) - 2*(sqrt(114)*1 + sqrt(114)))\/(-1*sqrt(6)*-3*4))**2.\nAnswer: 475\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327 - 3*x**2 + 11*x**2 - 157.\nAnswer: 8*x**2 - 484","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**3\/3 - n. Let t(q) be the second derivative of q**3\/6 + 7*q. What is g(t(f))?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2)\/((-33)\/7612). Let r = -484 - l. Round r to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (39\/(-4))\/39*-2. Suppose -11*w**3 - p*w**4 - 84*w**2 - 343\/2 - 245*w = 0. Calculate w.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**3 - 2*o**3 - 3*o**3 + o**2 - o**2 - 2*o**3 + (-2*o**3 + 4 - 4)*(-10 + 1 + 6) in the form p + l*o + t*o**3 + n*o**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(-1)\/x)\/x)**17\/(x**4*x**(1\/4)))\/((x**0\/x)**(-4\/35)*(x\/x**7)\/(x**(2\/5)\/x)) assuming x is positive.\nAnswer: x**(-923\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -7\/12*w**4 - 8*w - 3*w**2 + w**3 + 0 + 1\/20*w**5. List the prime factors of c(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 450\/(-180)*(-8)\/35. Determine m, given that 0*m**2 + i - 2\/7*m**3 + 6\/7*m = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9*v**(-2\/7)\/v)\/(v\/(v*v*v\/v**2)*v)**(-9\/4) assuming v is positive.\nAnswer: v**(279\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/3 - 3037*t\/3 + 3038\/3.\nAnswer: -(t - 1)*(t + 3038)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -274*z + 554*z - 273*z to the form j*z + u and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 203*g**2 - 203*g**2 + 13 + g**3 + g. Let c be r(0). What is the highest common factor of 143 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3645*p**4 + 18645*p wrt p.\nAnswer: -43740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-1) - 2*-9. Let v = -5 + i. Suppose -3*u + 7 = -2. What is the greatest common divisor of v and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 622351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, i: 3, x: 1, s: 1, g: 7}. What is prob of sequence gggw?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 9 = n, -2*n = 3*v + 2*n - 21. Suppose 0 - v = -a. Factor p - 1\/4*p**a + 0 + 0*p**2.\nAnswer: -p*(p - 2)*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 162\/30 - 2\/5. Suppose v*d - 3*d = 14. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 450 = 5*p. Suppose -4*c + 7*c = p. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14753.2892 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*l**6 - 24*l**4 - 451*l**2 + 1.\nAnswer: -1080*l**3 - 576*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6331, -25270, -56845, -101056, -157903, -227386, -309505?\n\"Answer: -6318*g**2 + 15*g - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 20 = 0, -u + 3*c + 8 = 24. Let p be -12*(u\/(-4))\/(-28). Let l(v) = -v - 1. Let q(s) = -3*s**3 - 3*s - 3. Calculate p*l(y) - q(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 15 = j. Let y(q) = -q + 2. Give y(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 28*u - 130. Let w be g(32). Calculate the remainder when 128 is divided by ((-30)\/50)\/(w\/(-110)*-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000234083 to 6 dps.\nAnswer: -0.000234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 403 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -0.5 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 + 85. Find the first derivative of 43 + 107*o**2 - 156 - 20*o**2 - 42*o**j wrt o.\nAnswer: 90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10237, 20589, 30939, 41287, 51633, 61977?\nAnswer: 72319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 317*c + 8. Let z be h(-2). What is the tens digit of 9 + -4 - 1 - z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4691 - -2231. Let s = 4199 + c. List the prime factors of s.\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 2554 = -2590. Solve -2*v - c*s = -2, -5*v + s + 10 = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -11*(-1)\/(-1). Let u(k) = -2*k**2 + 3 - 4*k - i + 3*k**2. Let z be u(7). Solve -5*o = -z - 12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/3 + 24 - 4. Suppose 11*p + 1 = t. Solve -2*y + 4 = y + h, p*h - 5 = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 17*u**2 + 16*u + 21. What is the smallest common multiple of j(-12) and 5?\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13354 + -8425. Suppose 15467 = 11*u + r. List the prime factors of u.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, r: 3, j: 4, a: 3}. Give prob of sequence aa.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(102) + 4*1*sqrt(102) + sqrt(102) - (1*(sqrt(102)*-2 - sqrt(102)) - sqrt(102)))\/(sqrt(36)\/sqrt(24) + sqrt(864)*1 + sqrt(6)))**2.\nAnswer: 80*sqrt(17)\/27 + 9716\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 4*u**2 + u - 1. Let a be s(-4). Let x be (-10)\/a - -3 - -1. Solve -3*q + 6*q = x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (3 + -2) - -19. Is 1673\/4 + 12\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 27*q**2 - q + 1. Let d(m) = -2*m**3 - 12*m**2 + 4*m - 4. Let o be d(-7). Calculate the lowest common multiple of -30*(-6)\/28 - o\/154 and f(1).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -918*q**3 + 136*q + 136. Let l(j) = -11 - 7 + 125*j**3 - 192*j**3 - 5*j + 101*j**3 + 13. Determine 5*i(f) + 136*l(f).\nAnswer: 34*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**5\/60 + t**4\/12 + 2*t**3\/3 - 13*t**2. Let s be g(0). Solve 5*b + 2*r + 18 = 0, -3*b + r - 17 + s = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -898457*c**4*k**3 + 75*c*k**3 + 2*c*k**2 + 2*c*k + 2659*c wrt c?\nAnswer: -10781484*c**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 51562367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.49 + -1.99. What is the closest to 0.2 in b, -0.2, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1544400 divided by 65?\nAnswer: 23760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -256 divided by 4\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -105367.\nAnswer: -105365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652112141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 14, l: 5}. Give prob of picking 1 i and 2 l.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 7*d - 6. Suppose 3*s = 3*h - 54, -5*h - d*s + 53 = -9. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f - 3 + 2)*(2*f + 7*f - 2*f).\nAnswer: 14*f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u + 8. Let g = -25 + 27. Let d be 16\/(-6) + g + (-100)\/30. Sort d, u, 5.\nAnswer: d, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 76. Let a = c - 75. Let w be 0 - (-94439998)\/(-12) - a\/42. What is w rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247050 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -23*j. Let b(f) = 121*f. Calculate r(b(w)).\nAnswer: -2783*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34969442015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.512 + 0.416. Round k to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(2*sqrt(35)\/(-1*sqrt(5) - sqrt(5)))**2 + -1*sqrt(63)\/(sqrt(63)\/(sqrt(14)\/sqrt(2))))*-2.\nAnswer: -140 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**4 + 5*p**4 + 4*p**6 - 8*p**2 - 7*p**4 wrt p?\nAnswer: 480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22875?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 812833 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(-3 + 3 + 2*l) - 2*l - 3 + 3 - l + 3 - 3 + l - 2*l - 3447 + 3395.\nAnswer: -6*l - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1920628 and 1?\nAnswer: 1920628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 140393 to the power of 1\/2, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**2*f - 799*a**2 - 7*a - 4723*f - 1 wrt f?\nAnswer: -2*a**2 - 4723","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 119*g**2 - 1134*g - 2246. Calculate l(128).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + -0.2. Let d = -3 + 6. Sort -0.1, d, f.\nAnswer: f, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 7 - (-6 + 3 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**8\/2184 + w**7\/455 - w**6\/390 - w**5\/195 + w**4\/52 - w**3\/39 - 6*w**2. Factor z(d).\nAnswer: -2*(d - 1)**4*(d + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.62 - -1.62. Which is the smallest value? (a) r (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -0.11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 108*t**2*w - 22*t**2 + t*w**2 + 45320*w**2 - 2*w wrt t?\nAnswer: 216*t*w - 44*t + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-1 + sqrt(2) + (sqrt(2) - (sqrt(2) - sqrt(14)\/sqrt(7)*6)))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-8) - 378\/(-56) - (-1288)\/(-140)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s + j = -22, 271*s - j = 276*s + 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1675062 is divided by 1609?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 35 (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctc when three letters picked without replacement from {q: 6, c: 12, t: 1}.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -db46?\nAnswer: db43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1034163702 divided by -114907078\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 4553794?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/546)\/(28666\/(-7818))\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3460 (base 9) to base 10\nAnswer: -2565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -11*j**4\/4 + 7*j**3\/2 - 21*j**2\/2 + j - 56. Let g(r) = 8*r**2 - 5*r + 5. Determine 21*g(s) + 5*u(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**3 - 578*y**2\/3 + 388*y\/3 = 0.\nAnswer: -97, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -0.3 (b) -4 (c) 5.56 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/7)*y)**(20\/3)*(y**(1\/2))**(-9\/2))\/(y**(3\/5)*y*y*y**(-2\/11)*y)**(10\/13) assuming y is positive.\nAnswer: y**(26223\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 g when four letters picked without replacement from kgkggkgggggttkk?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 28 = 25. Suppose w*z + 283 = 3790. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 + 105. Sort -1, 8, -2, i in descending order.\nAnswer: 8, i, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/12)\/((-81)\/810)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-340)\/(-1360))\/((-15)\/4).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - b + 32, b = 3*x - 25 + 1. Let r(h) = h**2 - 13*h - 12. Let y be r(14). Solve -y*t - x = -3*f, -f - 14 = 5*t - 5*f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1177, -4898, -11099, -19786, -30965, -44642, -60823?\n\"Answer: -m**3 - 1234*m**2 - 12*m + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 13*u - 128. Let m be c(10). Is 210\/(-15)*(-69)\/m a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1174, -1117, -656, 209?\n\"Answer: 202*j**2 - 549*j - 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-378)\/6*-11*(-20)\/(-495).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1245425 and 75950.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*n + 13, m = n - 5 + 8. Let u(v) = v**2 + 5*v - 11. Let p be u(-9). Calculate the highest common divisor of m and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316247 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + k**2 + 57.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 9*n**2 - 6*n - 14. Calculate k(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 3\/((-15)\/40)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 201 + 137. Solve -3*k + 12 = 3*n, -n - 11 = -y*k + 6*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -9*y - 7. Let r(l) = -17*l - 13. Let i(f) = 7*q(f) - 4*r(f). Let o be i(-6). Let m = -15 - o. Solve 3*x + 3*k = -m, -3*x + 3*k + k = -16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 9*i - 5. Let j = -2 + 5. Suppose 2*a = 2*u - 24, 0 = 4*u - j*a - 2*a - 48. Is g(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2. Let x(t) = 797*t. Determine h(x(s)).\nAnswer: -635209*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 3*v + 2. Let z be i(0). Find the third derivative of 4*k**4 + 16*k**3 + z*k - 2*k**4 + 6*k**2 - 3*k**3 wrt k.\nAnswer: 48*k + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1192 + -1195. What is the second biggest value in 3, -7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -3, 61, 0, 1, 5, -4 in descending order.\nAnswer: 61, 25, 5, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a micrometer in nanometers?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 10*f - 15. Let r be q(-12). Let z be -1*2 + (17 - r). Suppose -266 = -z*h - h. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*s - 1938*s - 14*s.\nAnswer: -2212*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28051 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 5:02 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from {m: 1, l: 7, e: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/40 - 2*o**4\/3 + 13*o**3\/6 + 138*o**2. List the prime factors of f(6).\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 + 13*z**2 + 15*z - 76. Determine x(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20740984 divided by -7603?\nAnswer: 2728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -230*n**2 - 1189*n - 2. Calculate g(-5).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6661 is divided by 3319?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, m: 5, a: 3}. What is prob of picking 1 i and 2 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(6 + (-11)\/(726\/397)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13541 is divided by 315?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:38 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (8 - (-190083)\/(-19008)))*-2. Is v bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42.7 and -4.7?\nAnswer: 47.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + h. Suppose -26 = x - 14. Let j = -15 - x. Let y be z(j). Solve -r + 2*g = 8 - 0, -3*r = 3*g + y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 19*i**2 + 8*i - 504. Calculate o(17).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/13 + 15934*t**3\/13 - 3276396*t**2 + 38928892136*t\/13 - 1945943555632\/13.\nAnswer: -2*(t - 2638)**3*(t - 53)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o + 15. Suppose o*w = 4*w + 5. Is w greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4958558.\nAnswer: 2, 11, 257, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgf when three letters picked without replacement from qgqffgqjj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 16, 38, 68, 106, 152, 206?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, w: 10}. Give prob of sequence ywy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*r - 180, y = 5*r + 6*y - 500. What is the remainder when r is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o**(1\/4)))**44*(o**1)**(-43))**(4\/3) assuming o is positive.\nAnswer: o**(-392\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 49 + 16 = -3*i, 2*i = j + 13. Let x(a) = 17 - 7 - 7*a + a. Let t be x(3). Is j at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (397 + -391 - (31 - 0))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u**2 - 2*u - 14. Let n(s) = s**2 + s. Give -4*n(q) - y(q).\nAnswer: 2*q**2 - 2*q + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010111 - 110011100011100?\nAnswer: -110011111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.901 * 241.\nAnswer: -699.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffhirfhrf. What is prob of picking 1 h, 1 r, and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-4)*(-4)\/6. Find the second derivative of -3 - 20*c**3 + 22*c**v + 3 + 4*c wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1304?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607914331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3977684, 3977678, 3977672, 3977666, 3977660?\nAnswer: 3977654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3)*15\/(-1). Suppose -b*n + j = -0*j - 353, -277 = -4*n - j. Suppose -4*f + 0*f = -3*t + 14, 0 = -5*t - 5*f + n. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*y**3 - 15*y**3 - y - 12*y**3 - 18*y**3.\nAnswer: -5*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1127, -717, -307, 103, 513, 923?\n\"Answer: 410*u - 1537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -6\/11 (c) -1\/11 (d) -183.8 (e) -1\/15 (f) 1\/3 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 5*q - 3. Let j(d) = -d + 15. Let r be j(9). Give i(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wcajpqpwq. What is prob of picking 2 p, 1 q, and 1 a?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-12)*(13 + -1). Let p be 2\/x*2*-3. Suppose 0 = 3*s - p*k - 160, -4*k + 2*k + 2 = 0. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5208)\/105)\/4 - -11?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 8944*s**3 - s.\nAnswer: 8944*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.07, -0.056?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, n: 2, s: 1}. Give prob of sequence nosn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1. Let s(h) = h - 5. Let m(p) = 3*p + 89. Let j be m(-29). Suppose 3*f + 8*d - 4*d = -1, 3*f + 5*d + j = 0. Determine f*s(y) + 6*i(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 45 + 27. Suppose -2 = -4*d + p. Suppose d*l - l = 96. Calculate the highest common factor of l and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*((-290)\/(-30) + -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 31*w**5\/24 + 107*w**4\/24 - 32*w**3\/3 + 1. Let z(d) be the third derivative of x(d). Find the first derivative of z(p) wrt p.\nAnswer: 155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -31*y**6\/2 - y**2 - 65*y + 74. What is the second derivative of w(o) wrt o?\nAnswer: -1860*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111101 (base 2) to base 12\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*o + 134 = -74, 144 = 3*r - o. Factor 2*j**5 + r*j**3 + 8*j**4 - 20*j**4 - 25*j**3 - 16*j**2.\nAnswer: 2*j**2*(j - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -34*t - 9. Let j be h(-7). Let k = j - 1835\/8. Is -2 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**3 - 4 + 5*b**2 + 0 - 6*b - 2*b**3. Let m be o(-6). What is the closest to -2\/3 in m, -0.1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -12*i**3 + 3*i**2 + 3*i - 3. Let a(v) be the second derivative of 3*v**5 - 7*v**4\/6 - 7*v**3\/3 + 7*v**2 - 3916*v. Give 3*a(s) + 14*h(s).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.4. Let t be (6\/32)\/((-14)\/56). Which is the biggest value? (a) t (b) -7 (c) -0.2 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22\/3 - 41\/6. Let z = -2113.7 - -2113. Put t, z, -2, -2\/5 in increasing order.\nAnswer: -2, z, -2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1365)\/(-18) + (-5)\/(-30). Let m = 184 - j. Calculate the highest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - (17 + -3)) + 68 + -55.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5 - 321\/(-6))\/(2\/4) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 1, -25781 in descending order.\nAnswer: 19, 1, -25781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 22. Solve -z*i + 0 - 10 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43817, -4, -71 in ascending order.\nAnswer: -71, -4, 43817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*z = 2735, 2735 = 5*o - z + 5*z. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmm. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 14. Solve 5*f + 5 = -b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 8 = 4*u, 9 - 5 = -4*n + 2*u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234319 is divided by 6884.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 86 + 41)*(2*h - 2*h**2 - 2*h + (5 - 2*h - 5)*(-3*h - h + 5*h) + h**2 + 2*h - 2*h) + 1 - 1 + 3*h**2.\nAnswer: 285*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7))**(-28)*(w*w**(-2))\/(w\/w**(2\/11)) assuming w is positive.\nAnswer: w**(2136\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7359681253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20642 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t - t**2 - 5*t)*(0*t + 2*t + 0*t) + 0*t**3 + 4*t**3 - 3*t**3 in the form x*t**3 + g + s*t**2 + c*t and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 18507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*h**3 + 353*h**3 - 78*h**3.\nAnswer: 362*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 - 1224*g - 2453. Calculate l(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/5))**(-9\/4))**48 assuming b is positive.\nAnswer: b**(-216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v**2 + 5*v - 3. Let o(j) = -56*j**2 - 37*j**2 - 3 + 146*j**2 - 61*j**2 + 4*j. What is 4*m(s) - 5*o(s)?\nAnswer: 4*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10320331 + -3255?\nAnswer: -10324030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n - 1. Let a(u) = 3*u + 1. Let m(v) = -7*a(v) - 6*h(v). Let c be m(2). Suppose -c*y = 2*y - 126. Calculate the remainder when y is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3181 (base 16) in base 4?\nAnswer: -3012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -q + 5*m, 0 = 5*q - 9*q + m + 20. Calculate the remainder when 27 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22ce8 + 2?\nAnswer: -22ce6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Let l(v) = v**2 + v + 10. Let c be l(o). Suppose r = -0 + c. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1029b (base 14) to base 8\nAnswer: -114041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 9, 553, 75, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 + 2*u**3 - 4*u**3)*(-3*u**2 + u**2 + 3*u**2) + 49*u**5 - 3*u**5 + 18*u**5 + (8 - 3*u - 8)*(2*u**4 - 2*u**2 + 2*u**2).\nAnswer: 59*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*sqrt(132)*1)\/sqrt(12) + -4 - (-5 + sqrt(1584)*-2)**2*1).\nAnswer: 476*sqrt(11) + 12730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104123 is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**5 - 25105956*u**2 + 105509908*u wrt u.\nAnswer: 40*u**3 - 50211912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y**(2\/11)*y)*y*y))**6\/(y**11\/(y\/y**(-12))) assuming y is positive.\nAnswer: y**(34\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 3*g**2 + 19*g - 54. Calculate the least common multiple of 376 and y(3).\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*2*-3 + sqrt(132))\/sqrt(12) - (sqrt(176)*-5 + (0 + sqrt(11) - sqrt(11))*5))**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -4587242\nAnswer: -183489.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 11:20 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 14 + 0)*(-15*n + 47*n - 3 - 7*n)*(0 + 3 + 0)*(2 - 2 + 2).\nAnswer: -1800*n + 216","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 3. Let i = 2.7 + t. Which is the biggest value? (a) -0.4 (b) -1\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 217*s - 208*s - 126. Calculate the least common multiple of s and 240.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 3*c**2 - 7*c + 1. Let j(k) = 3*k**3 - k**2 - k + 1. Give -3*j(y) + p(y).\nAnswer: -8*y**3 - 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 50 + 100 + 28*m - 13*m + 60*m.\nAnswer: 75*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/45 and 64\/3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/20)\/(10\/(-8)). Put m, 6, 0.5 in decreasing order.\nAnswer: 6, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**4\/5 - 92240*c**3 + 745575936*c**2\/5 - 404305395712*c\/5 + 73197274267648\/5 = 0.\nAnswer: 544, 113668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42287 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -422, -852, -1296, -1760, -2250, -2772?\n\"Answer: -a**3 - a**2 - 420*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/(40\/180)*(-169)\/39?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94652525*m**2 + 88804304*m.\nAnswer: -189305050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(1\/4)\/h))**(-24))**30 assuming h is positive.\nAnswer: h**(-540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 480238546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39.62707 - -0.08393. Let x = g + 0.289. Which is smaller: x or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + sqrt(704)*-1*2 - sqrt(704).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 2*p + 4*d, 3*d + 116 = -4*p + 6*d. Let w = -8 - p. Let m = 65\/3 - w. What is the second smallest value in m, 1\/7, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364291607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564 >= 364264\/233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/5)*m*m)**10 assuming m is positive.\nAnswer: m**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5638277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 16547682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 + 1. Suppose -8 = 2*f, 24 = -2*o - f + w. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*p - 485, 4*t = t + 2*p + 708. Suppose 2*r = -5*r + t. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -307, -576, -859, -1174, -1539, -1972?\n\"Answer: -3*s**3 + 11*s**2 - 281*s - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**4 - k**2 + k**2 + 6*k**3 - 5*k**3 - k**2 in the form w + y*k**2 + z*k**4 + u*k + c*k**3 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 4*d + 5. Let c be z(5). Let i = -6 + -1. Let p = 3 + i. Sort c, p, 4 in descending order.\nAnswer: 4, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 12:40 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 718630320 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - -36. Let m = u - 43. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13028 + 13032. Calculate the lowest common multiple of h and 179.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45*c*v**3 - 5*c*v**2 - 3*c*v + c - 3*v**3 + 717*v**2 + 3*v + 1 wrt c?\nAnswer: -45*v**3 - 5*v**2 - 3*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -246236?\nAnswer: -246231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 25885*a**2. Let m(o) = 978*o**2 + 2. Calculate m(k(i)).\nAnswer: 655292494050*i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10\/13, 5\/12, 0.07, -8.4.\nAnswer: -8.4, -1, -10\/13, 0.07, 5\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 55 = -6*x. Suppose 6*b = x + 31. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.823 (b) 3 (c) 0.5 (d) -11 (e) -5 (f) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((3 + -3 - -4) + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/1181704 and -17\/3336?\nAnswer: 492770568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.029 - -0.171. Which is the biggest value? (a) y (b) -8 (c) 3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/7)\/((-3)\/21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 13 - 5)*(5*g - 2*g + 0*g)*(-1 - 3 + 5)*(25*g**3 + g**3 - 10*g**3).\nAnswer: -624*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**6\/20 + t**5\/15 + t**2. Find the third derivative of h(p) wrt p.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323467813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2540150 - 15?\nAnswer: 2540131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (8 + 0 + -1 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-1) + -3*4\/6. Suppose -6 = -l*x + 3. Suppose 2*o - 8 = -2*o, -4*k + x*o = -14. What is the remainder when 6 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 18 + 2 = 0. Let l be 23 + c + -2 + -2. Let t(k) = 243*k - 3484. Let h be t(15). Calculate the greatest common divisor of l and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 14*g**2 + 119*g + 150. Give c(-18).\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109963 and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 + 22*i.\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/20*(-2 + (-7)\/(-3)). Let c = 3363\/1924 + 1\/481. Factor c*n**2 + n**3 - 1\/4 + k*n.\nAnswer: (n + 1)**2*(4*n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + 5*(-2 + (sqrt(539) - (sqrt(539) - (0 + sqrt(539)))) - -2*1*sqrt(539)))**2.\nAnswer: -364017 + 5040*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 + 3*o**2 + 2*o + 10. Let u be (210\/(-20))\/(-3)*(-20)\/35. Calculate k(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 7. Determine i(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n**3 - 5*n**2 + 7*n - 10. Let v(h) = -16*h**3 + 9*h**2 - 13*h + 19. Let r(a) = -3*v(a) - 7*x(a). What is r(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -181 - 857b?\nAnswer: -871c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0373 and -59573888.22.\nAnswer: -59573888.2573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3012*t**3 - 48*t**2 + 48*t. Let i(f) = -317*f**3 - 5*f**2 + 5*f. Give -48*i(x) + 5*n(x).\nAnswer: 156*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-75))\/((4\/(-10))\/(-2))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.19 - -0.19. Let m = 21 + -15. Let l = 6.4 - m. Put b, l, 0.1 in decreasing order.\nAnswer: l, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-1 - 9) - (-6 + 12 + 45 + 9)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -462 - -126. Calculate the smallest common multiple of (s\/36)\/((-4)\/6) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -32, -54, -80, -110, -144, -182?\n\"Answer: -2*f**2 - 12*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40188 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 425\/15 + 2\/(-6). Suppose -10*u = -c*u + 36. Suppose 0 = -u*h - 3*z + 69, -4*h = z + 3*z - 148. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (44 - 0)\/(20\/110). Let r(v) be the first derivative of -v**3\/3 - 13*v**2\/2 + 10*v - 6. Let g be r(-12). What is the highest common divisor of m and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -62, 2, -1 in descending order.\nAnswer: 3, 2, -1, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (390 - 797 + 378)*(2*b - 6*b + 3*b)*(0*b - b - b) - 4*b**2 + b**2 + 0*b**2.\nAnswer: -61*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 440\/(-12)*(-12)\/8. Suppose 0 = -5*h - 2*z + 281, 0*h + h + z = n. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1334354500 to the nearest one million.\nAnswer: 1334000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -85, -74, -63?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/6 - 11\/(-14). Let t = -14\/9 + 101\/36. Suppose 6*c = -9 + 33. What is the nearest to 2\/3 in r, t, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 - 4*a - 3. Let d be y(-3). Let w be d*(-2387 - 2) - 2. Round w to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c = -4*s + 26, 5*s + c = 22. Let b = -11.84 - -7.84. What is the third smallest value in b, s, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 + (-318368)\/(-7280). Let l = 310\/7 - o. Factor 20\/13*k**2 + l*k**3 + 0 + 0*k.\nAnswer: 2*k**2*(k + 10)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1033065 divided by 93915\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**6 + j**2 - 22\/5*j**5 - 4*j**3 - 7*j**4 - 2 + 2*j. Determine v, given that x(v) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 9:41 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30062*i**3 + 65691*i**2 wrt i?\nAnswer: 180372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 - 2209.70387\nAnswer: -2208.40387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-40))\/((36\/105)\/6)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 63330, 63333, 63336?\n\"Answer: 3*l + 63327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 1, h: 1, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2994320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sasessesssssa. Give prob of sequence aeas.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 11. Let d = -19 - -4. Let n be w(d). Which is greater: n or -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 25. Let l(y) = -372*y + 9296. Let k be l(25). Which is the closest to -1? (a) k (b) 2\/13 (c) 0.2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1080 and 23\/4?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1241112 + 15235?\nAnswer: 1300351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -19*o**3 - o - 1. Let u be r(-1). Suppose -7 + u = 2*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/7)\/(4\/40*170\/(-4)).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 155218971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b - -425c3e?\nAnswer: 425cba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3184368 divided by -10758.\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m - 12. Let n be (-56)\/(-26) - (-6)\/(-39). Let b(p) = -6*p + 3*p + 7 + n*p. Give b(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) 610 (b) 49 (c) 0 (d) 1.1 (e) 2\/3 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-9435.\nAnswer: -103785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*r - 125 = -78, -6*s + 5*r = 11*s + 133 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h = 4*f - 47, -4*h = 4*f - 40. Let s = h - 2. Suppose -w - 80015 = -5*v, -s*w + 4*v = 319146 + 80866. What is w rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3. Let l be 29\/(-145)*(2 - 1). What is the nearest to b in -2, l, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 40*g + 3*g**2 - 39*g - 7*g**2 + 1. Let b be d(4). Let v be (-26 - -32) + 1 + -6. What is the greatest common factor of b and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000274631 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.13. Let l = -8.03 - -8. Let z = q - l. What is the closest to 2\/7 in -1, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 105 + 1353644?\nAnswer: 1353751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-12)*(-6)\/(-4). Suppose 2*j - 3*y + 2*y = 45, -j - 3*y + 12 = 0. Let t be 4\/j*6\/24. Put x, t, 0 in increasing order.\nAnswer: 0, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 3. Let v be r(0). Suppose -4*o - v*p = -475, -6*p - 15 = -p. Let f = 9 - -2. Calculate the highest common factor of o and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/21)\/(((-24)\/(-9))\/(-4))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 3*l - 8*l)*(-3*l**3 + 0*l**3 + l**3).\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1168 + 1102. Which is the smallest value? (a) 3\/17 (b) x (c) 1\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h + 6*h**2 - 10 + h**2 - 2*h - h**3. Let f be g(5). What are the prime factors of 838\/f + (-3)\/5?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5187834 to the power of 1\/2, to the nearest integer?\nAnswer: 2278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -596 and 92.\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 4. Let v be j(-7). Let g = -1 + v. Suppose g*o = 2*l - 168, 3*l = o + 198 + 62. Calculate the highest common divisor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10032*c**2*l + 2*c**2 - c*l + 54*c - 14*l - 1172403 wrt c.\nAnswer: 20064*c*l + 4*c - l + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 0*g**2 - 11 - 5*g**6 + 23\/3*g**3 + 5*g + 0*g**5 - 1\/6*g**4. Find the third derivative of o(r) wrt r.\nAnswer: -3600*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.8 + 1.8. Let r = -0.097 + -0.203. Which is the second smallest value? (a) 4 (b) v (c) r (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34035, 32590, 30187, 26832, 22531, 17290, 11115, 4012?\nAnswer: -4013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -382722, -765623, -1148524, -1531425, -1914326?\n\"Answer: -382901*l + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, o: 10}. Give prob of sequence oooo.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and -14.4.\nAnswer: 475.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/4*12\/(-30). Suppose v + 0 = m. Calculate the remainder when 1 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z. Let p(o) be the first derivative of o**3\/3 + 3*o - 4. Let k(i) be the first derivative of p(i). What is l(k(w))?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 4)*(0*n - 2*n - 2*n) + 52*n - 2 - 61*n + 0 to g + v*n and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 8. Suppose -3*t + 33 = -f*l + 100, 4*t = 4*l - 60. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o - 14. Let y(l) = 4*l + 13. Let h(a) = -5*t(a) - 6*y(a). Let j be h(9). Solve 0 = 2*u - 3*b - j, 3 = -2*u - b - 0*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (6\/15 + (-32)\/30)\/((-8)\/305940)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4*(-2)\/(-12))\/((-8)\/(-36)). Suppose 0 = 4*h - 5*v - 9, -2*h + 5*v = p. Solve 2*g - h*g - 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -17\/2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 - 1 + 19*n**2.\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 2*n - 40, 688*n - 342*n - 115 = 341*n - 5*j for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -64040449732455 + -5?\nAnswer: -64040449732460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12 and 0.44585?\nAnswer: 12.44585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 7*t + 8*t = -225, -93 = -2*n + t. Calculate the least common multiple of n and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/3*(-2)\/(-6). Suppose 0 = q - 2*i + 191, w = 2*q - 0*q - i + 379. What is the units digit of 10\/(-6)*q\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 9, 18 = 5*n - 0*b - b. Solve -5*v - s - 14 = 0, s - 13 = 5*v + n*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6398, 25565, 57496, 102185, 159626, 229813, 312740, 408401?\n\"Answer: -t**3 + 6388*t**2 + 10*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 732123.6ml to litres.\nAnswer: 732.1236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142*m*q*s + m*q + 20*m*y - 8*q*s*y + 2*s*y + 3693*s with respect to m.\nAnswer: -142*q*s + q + 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 12*l**2 + 5*l - 19. Let j be k(-8). Let i = 200 - j. Solve 0 = -2*g - 3*g + s - 23, i*g - 5*s = -27 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388 = -23583*z + 23464*z - 445 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 878878 divided by -439\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -19. Let x(d) = d - 3. Let w be x(6). Let l = 4 - w. What is the greatest common factor of l and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (116\/174)\/((-6)\/(-315)). Solve 4*x = -b + 16, 2*b - 20 = 31*x - h*x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -6, -2\/71, 2, 0.4.\nAnswer: -15, -6, -2\/71, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**2 - 8. Let w be (-3 - (-1 - 0)) + -2. Let o be z(w). Let u = o + 105. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -37*k**6\/30 - 15*k**2 - 30*k. What is the derivative of q(u) wrt u?\nAnswer: -148*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 11*n**2 + 11*n + 1. Let j be t(-10). Let z be j\/(-12) - (-10374)\/(-40). Let o = 257 + z. Is o less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.43349251 rounded to 1 decimal place?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*l - 11 - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/19, 1\/22, -3, 0.01, 0.0871?\nAnswer: 0.0871","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from aatta?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 18 = -2*h. Let v be (h\/4)\/(6\/8). Solve 2*r = -v*f - 12, -f - 2*r = -3 + 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7790 divided by 1558.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.32 and -1.04?\nAnswer: 6.5728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14164 and 107?\nAnswer: 15.15548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 - 379 = -64*u. Let l(q) be the third derivative of 0*q + 1\/6*q**u + 6*q**2 + 0*q**3 + 0 - 1\/60*q**5. Calculate l(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 6:13 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*381.6.\nAnswer: -190.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(180) + 1 + 5 + sqrt(180) + sqrt(180) + 1 + -5 + sqrt(180)*-2*-2 - (2*(2*sqrt(180) + -2)*1 + 2))**2.\nAnswer: 144*sqrt(5) + 1636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r + 1. Let y be g(2). Suppose v + 3*k - 25 = y, 2*k + 4 = 0. Let z = 67 - v. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 + 4\/6. Let o be s*(-1)\/3 + 1. Solve d - 5*w + o = -1, 3*d + 4*w + 6 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**4\/4 + 2*q**3 - q**2 + 2*q + 6. Does 9 divide w(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -1796.2542.\nAnswer: -1796.3542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -748*q. Let z(u) = 20*u**2 - 4. What is z(p(j))?\nAnswer: 11190080*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -23*j**4 - 3*j**3 - 3*j**2 + 25. Let r(n) = -22*n**4 - 2*n**3 - 2*n**2 + 24. Let u(l) = 2*b(l) - 3*r(l). Differentiate u(k) wrt k.\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (2 - 3) + (8 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + x**2 + x + 1. Let o(q) = 3*q**2 + 7*q + 3. Let f(r) = 3*i(r) - o(r). What is the second derivative of f(u) wrt u?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppwplilppggpgq. What is prob of sequence plg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 52*y + 311. What is a(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/6 + (-2)\/(-4). Suppose 3*n - n = -n. Solve c = j - n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 23*g = 0. What is the closest to -0.1 in g, 0.1, 12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 28*g. Calculate the remainder when 353 is divided by u(-4).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2)*t)**(21\/4))**(11\/4) assuming t is positive.\nAnswer: t**(693\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 4822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 1:24 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/(-15)*(-3)\/4. Suppose 0 = y*o + 86 - 656. Suppose -m - 5*t = -0*m + o, 0 = -m - 3*t - 275. Round m to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/12 + 17\/4. Let q(a) = a**2 - 2*a - 5. Let v be q(4). Put v, 2, h in ascending order.\nAnswer: 2, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -4 + 0 + 8. Let c be (-6)\/(-33) - 60\/(-33). Let o be (-6)\/(-1 - 1\/c). Solve k + 0*k - o*v + 15 = 0, 0 = -k - 3*v + j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2136 and 1176?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 638675409?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 12182.\nAnswer: 219276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 276 = -3*p, p = -5*u - 0*u - 430. Let n = u + 59. Let w be 3\/(6*(-1)\/n). Calculate the greatest common factor of 154 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 142188 or 142191?\nAnswer: 142191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03369 - -0.0285?\nAnswer: 0.06219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97 + -98. Let q(l) = 1 + 5*l - l + 0*l. Determine q(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2032212 + -111100213?\nAnswer: -103002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*m**5\/11 + 12217434*m**4\/11 - 528225902*m**3 + 1546693366*m**2\/11 + 903889412*m\/11 - 258098976\/11 = 0.\nAnswer: -2\/5, 1\/3, 477, 135272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102101010 (base 3) to base 15.\nAnswer: 26cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 52. Let y(f) = f + 51. Calculate -3*u(l) - 4*y(l).\nAnswer: -l - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hoxkhoooxxoh. Give prob of picking 1 x and 2 h.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13049996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + d**3 + d**2 - 3*d + 3*d to the form r*d**3 + p*d**2 + j*d + a and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2019076*m**3*n*y + 2334335*m**3*n - 5*m**2*n*y + 2*m*n with respect to y.\nAnswer: -2019076*m**3*n - 5*m**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**5\/5 - 228*y**4\/5 + 1992*y**3\/5 + 6248*y**2 + 12300*y - 18900 = 0. What is y?\nAnswer: -63, -5, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1347868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 1)\/(-1) - -1. Let q be ((-1)\/9*-6)\/2. Does q = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + (sqrt(128)*-2)**2 - (2 + sqrt(2)*-1)) + (sqrt(14)\/sqrt(63) - 4*sqrt(8))**2.\nAnswer: 9*sqrt(2) + 5648\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/((-3)\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117 - -108.9. Let p = -8 - g. Which is the closest to p? (a) 2 (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2 - 5*g + 5. Let t(c) = -3*c**2 + 4*c - 4. Let f(w) = 5*t(w) + 4*x(w). Let r(b) = b - 29. What is f(r(l))?\nAnswer: l**2 - 58*l + 841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(2*f**2 - 4*f**2 - 5*f**2).\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.00199959 + 0.002. What is g rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 597 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5)\/h)\/((h*h**(-7))\/h*h*h*h*h))**(11\/2)\/(h**(-8)\/(((h**1*h)\/h)\/h))**(1\/2) assuming h is positive.\nAnswer: h**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*m - 6*m + 330 + 60 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 0*c + c)*(0 - 4 + 0)*((-1 - 2*c + 1)*(2*c**2 + 2*c**2 - 5*c**2) + 36*c**2 - 8*c**3 - 36*c**2) to s*c**2 + f*c**4 + i + o*c + h*c**3 and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 10 + 1 + 2*a**2 as z + l*a**2 + h*a and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13020, 26185, 39488, 52935, 66532?\n\"Answer: p**3 + 63*p**2 + 12969*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -29 (b) 3 (c) 1.8 (d) -16 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 0.2. Let z = 2.3 + -0.3. Let n = a + z. What is the closest to 2\/7 in -2\/7, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 100 = -395. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43301377033\/2647962 - -556\/147109. Let x = 16357 - l. What is the common denominator of 109\/6 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**5\/60 - 7*j**4\/24 + j**3\/3 + 2*j**2. Let h be n(-5). Solve f + 2*f - h = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59928.\nAnswer: 2, 3, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -404*r**7\/7 + 386*r**3 + 1397. What is the third derivative of x(u) wrt u?\nAnswer: -48480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**2 - 7*x + 13. Let n be q(3). Let g = n - -156. Suppose 42 = 3*u + 6. What is the remainder when g is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1719835200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 886 and 52?\nAnswer: 23036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 9 = 2*w, 0*w + 5*w + 5*q - 10 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -4016?\nAnswer: 4011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 459 - ((-13)\/3 - (-30)\/(-45)). Suppose -4*l + s + v = 3*s, 0 = -s + 4. Calculate the highest common divisor of l and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89070 or -89063?\nAnswer: -89070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9253 is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -48069, 1\/3, -2, 0.12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -1\/6*g**4 + 5\/6*g**3 + 0*g + 0 + g**2. Find the first derivative of x(m) wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**3 + 3*b**2 - 2. Let q be r(-2). Let v be (-4575)\/55 - 4\/q. Let z = v + 911\/11. What is the nearest to 6\/7 in -0.5, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34764570 divided by -6\nAnswer: 5794095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.91 - -13.21. Let x = 0.02 + -1.82. Let w = s + x. Which is the nearest to 2? (a) 1 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h = -31*h - 2205. What is the tens digit of (-40269)\/h + (-4)\/(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 - 9*r - 6. Calculate w(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 14*q**2 - 34*q + 472. Calculate r(10).\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18589616552 take away 137.54?\nAnswer: -18589616689.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 11:49 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 20. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 3*n + 3. Let w be v(2). Let d = -3 + w. Let b(p) = 3*p - 1 + 3*p + p**2 + 2*p - 6*p. Give b(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f + 22. Let g be s(6). Is g bigger than 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**4\/3 - 603*y**3\/2 + 265*y**2 + 227*y\/6 = 0.\nAnswer: -227, -1\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 48*v - 675. What is n(24)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = -2*l. Let g be (1 + 0)\/(l - 35203\/(-5867)). Suppose g = 4*r - 489. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.3 + 3. Let h = 11 + -6. Let t = -4 + h. Which is the closest to 0? (a) 0.4 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -2*u**6\/195 + 31*u**5\/130 - 46*u**4\/39 + 33*u**3\/13 - 36*u**2\/13 + 4677*u. Solve w(t) = 0.\nAnswer: 1, 3\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*a - 1140 = 25*a - 42*a for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -12. Differentiate -4 - 4*f**t + 9 + 4 with respect to f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*u**2 + 2\/3*u + 60.\nAnswer: -2*(u - 10)*(u + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41\/(-287))\/((-1)\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24360?\nAnswer: 2, 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or -412\/31?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 - 3*v**4 + 0*v**4)*(-5 + 4*v + 4 - 1)*(-222 + 59 - 34).\nAnswer: 788*v**5 - 394*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - 100111001011011010111000?\nAnswer: -100111001011011010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13959510 > 13959510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -9*x**5 - 111*x**4 + 5013*x**3 + 7011*x**2 - 8484*x - 3420 = 0.\nAnswer: -30, -2, -1\/3, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*d**3 + 733*c*d + 803*d**3 - 3*d - 1 with respect to c.\nAnswer: -d**3 + 733*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 39. Let w = 14 - m. Let z = 0.12 + 0.38. Sort z, w, 5 in ascending order.\nAnswer: z, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1555.\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*10\/40*53\/(-159)*642?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5675232 divided by -5\nAnswer: -5675232\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12945.6*46\nAnswer: -595497.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 3. Suppose -80 = -z + w. Round z to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/185 (b) 2 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 16\/(-12))*-18. Let j be ((-9)\/l)\/((-3)\/12). What is the units digit of (-1 - (-5 + j)) + 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19200 divided by -300?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8477\/8 - 1061. Calculate the common denominator of 7\/200 and y.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*n**3 - 37*n**2 - 238*n - 4*n**4 + 38*n**2 + 17*n**3 as a*n**2 + j*n**3 + l*n + f + k*n**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4619, -4631, -4669, -4745, -4871, -5059, -5321?\n\"Answer: -2*p**3 - p**2 + 5*p - 4621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.8 - 28. Which is the biggest value? (a) y (b) 0.5 (c) -0.4 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-11)*(-2)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 242*q + 8271. Determine u(-46).\nAnswer: -745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -143215 at least as big as -143219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -28. Suppose -2*f - 3*f + 20 = 0. Determine c, given that -3*c - 4*c + c**f + c**2 + 4*c - 2 + 3*c**k = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Suppose c - s = 1. Solve -4*w + 13 = 3*q, -4*q - 24 + 8 = -c*w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 6 = -8*v + 10*v, -5*g = 5*v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 5*t + 2. Let s be i(4). Suppose s*v - 897 = -15. Let a = v + -95. Calculate the remainder when a is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37323, -37344, -37379, -37428?\nAnswer: -37491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from qzzzzzzzqzzzzzzzzqzz.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkk when three letters picked without replacement from llklkl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, o: 2}. What is prob of picking 2 u and 1 o?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 3*n - 22. Let t be q(8). Calculate the greatest common factor of 162 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/738 and 136\/(-1020) + 887\/240.\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 404496 and 102?\nAnswer: 6876432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 440537, 881146, 1321809, 1762526, 2203297?\n\"Answer: 27*t**2 + 440528*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 - (-5 + 4 - -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k - 516 = 0. Suppose 3*p + 4*y - k = 0, -2*y = -p - p + 172. Round p to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 0 + 68*w.\nAnswer: 68*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 4*y - 5. Let z be v(-5). Let h be (2 + -1 - 2)*z. Which is the closest to h? (a) -1 (b) 2\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -10*f**3 - 8*f**2 - 6*f - 7. Let j(q) = -20*q**3 - 15*q**2 - 10*q - 14. Let n(v) = 3*j(v) - 5*s(v). What are the prime factors of n(-5)?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 3*j**2 - 14161*j + 28316. Determine d(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Put -0.11051, 0.03, 1\/3, 3, -3\/20 in ascending order.\nAnswer: -3\/20, -0.11051, 0.03, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*s - 59*s - 273*s to the form g*s + z and give g.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2139 and 3243.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 1197?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (14 + -46 - -24 - (45 + -10))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/20)\/(74\/(-185))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2 + g + 2. Let z(s) = -s**2 - 2*s - 1 - s**2 + s + 0*s. Determine -3*k(r) - 5*z(r).\nAnswer: -2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-52)\/(-39))\/(20\/45). Suppose -5\/3*d**v - 4\/3*d**2 - 2\/3*d**4 - 1\/3*d + 0 = 0. What is d?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*o + 405*o = 0. Let m(t) be the second derivative of 0 + 0*t**2 + 1\/4*t**5 + 1\/3*t**4 + 3*t + o*t**3. What is the third derivative of m(n) wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155596 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2340 - -2456.65. Round n to 0 dps.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.8 (b) 2\/9 (c) 0.4 (d) -5 (e) 8196\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 2\/7, -1.15, -1, 0.15, -4?\nAnswer: -1.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 4 (c) 3 (d) 2\/307 (e) -0.2 (f) -8 (g) -10\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*t**3*v + 21029*t**3 + 10*t**2*v - t**2 - 45*t*v + 1619212*v wrt t.\nAnswer: 210*t*v + 126174*t + 20*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v = -21. Let m(k) = -k**3 + 3*k**2 + 6*k - 10. Let x be m(4). Put v, x, 5 in descending order.\nAnswer: v, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 202\/207 - 28\/322 and 0 + (63\/(-8) - -1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:40 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/380 and 53\/21556.\nAnswer: 2047820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*k + 396 = 76*k. Let y = 20 - 12. What is the least common multiple of y and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 77 - 65 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*x + 14 - 65 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.45227 to 0 decimal places.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 948 = 858 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3431340044 (base 5) to base 13\nAnswer: -1790517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.08531 * -164\nAnswer: -13.99084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Let n(v) be the third derivative of 5*v**4\/12 - 11*v**2. Calculate p(n(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y = -12*y + 54 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.2. Let m = 0 - t. Let b = 5 - 5.1. What is the smallest value in m, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -253306 by 25.\nAnswer: -253306\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(108)*1 + sqrt(108))**2 - (4 + sqrt(3) + 1 - ((sqrt(3) + 0)*5)**2).\nAnswer: -sqrt(3) + 502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -9. Suppose -8 + 2 = -d*m - 4*j, 0 = m + j - 3. Suppose 14 + 193 = m*v. Does 23 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(198) - sqrt(198)*3))\/(sqrt(18)*-6 + 2*(sqrt(2) + (sqrt(2) - sqrt(4)\/sqrt(2)))).\nAnswer: -15*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*g - 48*g - 71*g + 44*g - 117*g to the form k + c*g and give c.\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*a - 455*a + 232*a + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 147?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 267242.4l?\nAnswer: 267242400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-11)*m\/m**(-16) assuming m is positive.\nAnswer: m**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*b**2 + b**2 + 2*b**2)*(4 + 1 - 6)*((2 + 0 + 0)*(1 - 3 + 3) - 1 - 4 + 4).\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**5\/8 + 30*p**4 - 495*p**3\/8 - 30*p**2 + 123*p\/2 = 0. Calculate p.\nAnswer: -82, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrg when four letters picked without replacement from {g: 6, r: 13}?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - v + m + 5, 2*v - 15 = 3*m. Suppose v = 3*k - r + 3*r - 403, -4*k + 539 = 3*r. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from bbhkhhhhhbhbhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 220325\/29 + -7596. Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 2:39 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 + 2*z**2 + 7*z + 2. Let b(j) = -1 - 2*j**3 - j + 8*j + 4 + 3*j**2. Let f(x) = -2*b(x) + 3*i(x). What is the second derivative of f(s) wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 850 + -837. Suppose -4*r + 5*b = -26, -3*b = -s*r + 17*r - 10. Solve 35 = -j - r*j + 5*p, 0 = -5*p + 25 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/2)*l)**40\/(l*l**(-2\/3))**(2\/9))\/(((l\/(l**(1\/6)\/l)*l)\/(l*l**(-4)))\/(l**(-2\/3))**(2\/47)) assuming l is positive.\nAnswer: l**(137215\/2538)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1401 + 2040?\nAnswer: 3441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n + 178. Calculate f(27).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 846*j + 836. Determine t(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfqqqqqqqqqqqqqqqqqq. What is prob of sequence qf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 24\/(-120) - (-1082)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40147593 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzppaazvzvzvazvzep. What is prob of sequence eaz?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in 0.3, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -293 (c) -1.3617 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = 141*q - 312. Let l(y) be the third derivative of 1\/18*y**4 + 8*y**q + 0*y - 2\/3*y**3 - 1\/540*y**5 + 0. Factor l(w).\nAnswer: -(w - 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.37*-29\nAnswer: 10.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, m: 3, h: 4, s: 1}. Give prob of picking 3 e.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5915044 and 3448.\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - 55.41. Let d = u - 0.09. Let v = 1 + 0. Which is the closest to v? (a) -4 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 39*r - 1. Let h be v(1). Let l(d) = d**3 - 39*d + h*d + 14 - 12. Give l(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 310904564 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 9*c)*(c - 2*c + 0*c) - 5*c**2 + c**2 + 3*c**2 + (3 - 3 + 2*c)*(-2*c - 2*c + 5*c) + 0 + 2*c**2 + 0.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162277860.\nAnswer: 2, 3, 5, 19, 283, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 97, 92, 85?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from {z: 1, w: 1, q: 1, c: 1, j: 1, i: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297 divided by -3.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**4 + 1128*z**3 + 13140*z**2 + 48800*z + 54000 = 0. Calculate z.\nAnswer: -270, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 1 - 1)*(-13*h**3 - 8*h**3 + 24*h**3) + (-3*h**3 - 2*h**3 + 4*h**3)*(-h - 2*h + h).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11237, 12318, 13397, 14474?\n\"Answer: -l**2 + 1084*l + 10154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -178 + -135. Let g = 317 + m. Solve -2*p = 2 + g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 8226.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59510 and 8950304.\nAnswer: 44751520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 7*u**6\/6 - 23*u**5\/4 + 25*u**4\/3 - 10*u**3\/3 + 45*u - 1. Factor j(c).\nAnswer: 5*c*(c - 2)*(c - 1)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 236\/5 + 0 + (-17)\/15 + (-1024)\/15360.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 27\/2 + 1\/2*t**4 + 41\/8*t**3 - 27*t + 63\/8*t**2 = 0.\nAnswer: -6, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.054245 + 0.04404. Round n to four dps.\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 8088*f + 317120.\nAnswer: 4*(f + 40)*(f + 1982)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, o: 1, h: 3, l: 3, i: 1, j: 2}. What is prob of picking 1 i, 2 j, and 1 f?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**4 + k**3 + k**2 + k. Let a(s) = -25*s**4 - 3*s**3 - 32*s**2 - 3*s. Let l(b) = -a(b) - 3*m(b). Find the third derivative of l(h) wrt h.\nAnswer: 528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 5*k**2 + 5*k - 16400000. Suppose 3*m - 25 = 7*m + 5*c, -5*c - 25 = -4*m. Let n be h(m). Round n to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32918?\nAnswer: 2, 109, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 15 + -2 - (3 - -2 - 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -403*o**6\/2 - 208*o**3\/3 - 3*o**2\/2 + 636. Find the third derivative of q(j) wrt j.\nAnswer: -72540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from fpf.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -112.1 + 110. Which is smaller: n or -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o. Let l be v(-6). Let f be 4\/(-14) + l\/84. Which is smaller: f or -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7)\/(((a**(2\/13)\/a*a*a*a)\/a)\/a*a))**(-2\/29)*a**(-2\/27)*a*a**(-2)\/a*(a*a**2*a)**22 assuming a is positive.\nAnswer: a**(6126746\/71253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 10 = -h, -7*h + 29 = 3*j + 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/21)\/(16\/(-35))*-2*-8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**3 + 1. Let t be z(-1). Is (-4)\/((-32)\/47756) - t\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 16*u + 144. Suppose -156 = -5*r - 7*r. Calculate the remainder when u is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 99637874 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -46*k**3 + 3*k**2 - 4*k + 7 + 56*k**3 + 6*k. Is m(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 3 (b) -3 (c) 1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102*w**5 - 581*w**3 - 73822*w.\nAnswer: -2040*w**3 - 3486*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 305399735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29\/7 or -1\/5005?\nAnswer: -1\/5005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44132 and 3179.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/56 of a week?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (24 - -4) + -24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*y**2 - 604*y + 26*y**3 + 511*y + y**4 + 92*y as z*y**2 + h*y + d*y**3 + q*y**4 + c and give z.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-6) + 92\/23\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**4\/6 - 8*n**3\/3 + 27*n**2. Let w be b(-5). Solve 0 = o - w*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 7 = -6. Which is the third biggest value? (a) 9 (b) 0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -8*a**3 + 5*a**2 - 4*a. Let x(v) = v**3 - v**2 + v. Let l be ((-2)\/(-16))\/((-4)\/(-128)*4). Calculate l*r(z) + 6*x(z).\nAnswer: -2*z**3 - z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316820 divided by -79205.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1994 = 4*h + 530. Let m be (-1)\/((735\/h - -1) + -3). Let o = m + 132. Calculate the smallest common multiple of o and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/(-10)*1)\/((-1)\/(-30)). Let w = b - -61. Put w, 0, 4 in decreasing order.\nAnswer: 4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110 - 100?\nAnswer: -1101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 667873751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**4\/42 + 8*q**3\/63 + 4*q**2\/21 + 4. Determine x so that d(x) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -0.05 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 1:09 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 256?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 281 - 60. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 13. Suppose -4*i + 3*i = z. Which is smaller: i or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -25*v - 736. Calculate the remainder when 318 is divided by i(-34).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 550 + -32202\nAnswer: -31652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = -28*w - 2*w. What is the second derivative of 146*p**2 - w - 31*p**2 + 3 - 7*p + 9 wrt p?\nAnswer: 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*h = 64, g + 4*h + 10 = 3*g. Suppose -1 = 2*b - g. Suppose 53 = 4*f - 5*s, b*f - 45 = -3*s + 5*s. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y + 3. Is h(0) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7970 + -7969. What is the closest to 7 in -43, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3727.\nAnswer: 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5697107 is divided by 1899035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (561\/99)\/((-1)\/(-4)*56\/42).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4734 + 4748. Put -18, -2, q in ascending order.\nAnswer: -18, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 a when three letters picked without replacement from {i: 1, x: 2, v: 3, a: 1, o: 7}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -669 + 713. Suppose -c = -i + 1 + 7, 44 = 5*i - 4*c. Calculate the remainder when o is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 554461782 plus 0.5?\nAnswer: 554461782.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/6)\/(11\/88) - (2 + (3 - 5))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 4*z + 4*z - 2*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10890 divided by -33.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235.874 rounded to the nearest ten?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**3\/6 - 12*z. Suppose 0 = -2*o - 0*o. Suppose o = -n - a + 3, 3*a + 11 = 4*n + 6*a. Give v(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 - -82. Suppose -1 - k = 4*s + 2*o, 5*s - 2*o - 20 = 0. What is the lowest common multiple of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 251824.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + y)*(-6 + 0 + 4) - 921*y - 3039784 + 3039784.\nAnswer: -917*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8289191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f + 8. Let n(v) = -14*v - 24. Let s(y) = -11*l(y) - 4*n(y). Let u(o) = 1. Let i(k) = -s(k) + 4*u(k). Calculate i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 8*g**2 - 7*g + 20. Let n be t(-9). Solve -2*u = n*u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*((1 + (sqrt(112) - (-1 + (sqrt(112) - (sqrt(112) + 0 + sqrt(112))))))*4)**2.\nAnswer: -28928 - 2048*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**2 - 2*q + 2. Let p(i) = -3 + 5*i**2 - i**2 + 2*i**2 + 7*i - 4*i + i**3. What is 3*h(t) + 2*p(t)?\nAnswer: 2*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -s - 0*s. Suppose 0 = -3*k + 5*g + 291, 5*k - 5*g = -56 + 531. Suppose 83*u - 9 = k*u. What is the second biggest value in 4, s, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 919100 rounded to the nearest ten thousand?\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 2*l - 95 - 87 - 67.\nAnswer: -2*l - 198","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = -25*i - 242 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/15235 and 53\/975.\nAnswer: 2970825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**2 - 14*l + 18. Let v be f(5). Suppose 52*u = v*u + 36. Find the third derivative of -u*n**2 + 24*n**4 + 43*n - 21*n - 22*n wrt n.\nAnswer: 576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -505*r**2 + 107*r - 106*r + 2*r**3 - 45 + 47 as u*r + b + z*r**3 + y*r**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -11. Let s = -18.2794852 + 23.27948. Let f = s - u. Round f to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, u: 3}. What is prob of sequence uuuz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 15*w - 38. Determine z(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2366)\/(-6) - (-10)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i. Let x be (19 - 1)\/(-6 + 4). Suppose 4*z + 14 = -10. Let j = z - x. Let d(n) = 2*n - 2. What is j*v(a) + d(a)?\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1897, -3792, -5687, -7582?\nAnswer: -9477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -84. Let t = -29 + p. List the prime factors of t*2\/12*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2796 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1167.07 times -68\nAnswer: -79360.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8472 - 8461.7. Sort -14, 5, s in increasing order.\nAnswer: -14, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 2*v - 7. Let j = -1 + 1.5. Let b = -2.5 + j. Is v less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + sqrt(500) + -1 + -2 + 3.\nAnswer: 4 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.24 + -9.24. Sort z, -5, -73, -4.\nAnswer: -73, -5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n + 4. Let d be ((-1)\/3)\/(1\/9). Determine w(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -948 = -11*m + 1219. Does 54 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.081 and 69.59.\nAnswer: 69.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, 1.2, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -130*v + 132*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/5*(-2)\/(-1)*666\/148?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 7*p + 4. Let d be o(-6). Solve 33*x = d*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/352)\/((-6)\/24). What is the second biggest value in 0.23, 1\/4, y, 5, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 10 = -2*z. Let s(g) = -g + 17. Let i be s(7). Suppose 2 + i = 3*o. Solve 0*a - o = z*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44253 divided by 33?\nAnswer: -1341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8311909 at least 8311908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p**3 + 2*p**2 + 101644*p - 290627487 wrt p?\nAnswer: 3*p**2 + 4*p + 101644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18862512 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 10:39 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -26. Suppose 3*y - l*y = -132. Let g = y + 27. What is the remainder when g is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4888, -4876, -4858, -4834, -4804?\nAnswer: -4768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j. Let g(b) = -272*b - 31738. Calculate g(s(h)).\nAnswer: 1088*h - 31738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*b + 4 - 6)*(-107*b**2 - 329*b**2 + 64*b**2)*(-4 + 1 + 1 + (0 + 1 + 2)*(4 + 1 - 1)) as c + f*b**2 + z*b + g*b**3 and give g.\nAnswer: -7440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4752*i - 27*i**3 + 23*i**3 - 1837*i + 118*i**5 wrt i.\nAnswer: 2360*i**3 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 6*k - 1 + 2*k - 2*k. Let p be (-12)\/(4 - 1\/(-6)*-20). List the prime factors of o(p).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 + 4 = 0. Let r(x) = x**3 - 6*x**2 - 6*x - 8. Let h be r(b). What is the third biggest value in h, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132980806*p**5 - 1468191*p**2 - 24 wrt p?\nAnswer: -7978848360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 209\/(-836)*(2 - -194)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h**2 - 6*h + 6. Suppose -2*c - o = -7, -216*c + 217*c - 5*o - 31 = 0. Let z(l) = 63*l**2 - 49*l + 49. Calculate c*z(x) - 49*j(x).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -83*m + 36*m + 44*m - 13*k, -5*m + 7*k = -103 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**4))\/q)**(2\/3)\/(q**(-6)\/q*q**12\/q) assuming q is positive.\nAnswer: q**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -7*t**4\/2 - 455751*t**3\/2 + 781305*t**2\/2 - 195329*t\/2 - 65109 = 0.\nAnswer: -65109, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from kgemvgb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**5 + 14*a**2 - 5*a**5 + 21*a**2 wrt a.\nAnswer: -480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*y = 12, -9977*y - 9 = l - 9980*y for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fip when three letters picked without replacement from {v: 4, p: 1, i: 2, f: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*a + 4*m, -21 = -a + 3*m + m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**7\/42 - 7*r**4\/6 + 9*r. What is the third derivative of w(d) wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and -519809.\nAnswer: -15594270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:04 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 868.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -387 * -18.6\nAnswer: 7198.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26744 + 27260.96. What is u rounded to the nearest 10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -3. Let i be ((-2)\/4)\/(p + -8). Which is the second biggest value? (a) -0.4 (b) i (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -21, -75, -157, -267, -405?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 155 + 51. Suppose -3*w + 2*r - t = -267, 144 = 2*w + 2*r. List the prime factors of w.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/1769, -2, 1\/3, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -685\/11? (a) 1\/3 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**5\/60 - r**2. Let n(k) = -3*k + 3*k - 2 - 4*k - 4. Let c(g) = 9*g + 13. Let m(v) = 6*c(v) + 13*n(v). Calculate m(y(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -35 (b) 2\/23 (c) -6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 333\/63 - (12\/14)\/3. Suppose -i*y = 2*n - 0*n - 591, 3*n - 9 = 0. Let l be (-1*(3 + -4))\/(3\/y). Is 39 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 - 2*t**3 - 2 + t**3 - 2*t**3 - 3 + 3 - 3*t**3 + 2*t**3 - t**3 + (-2*t + t**2 + 2*t)*(-21*t - 29*t + 9*t).\nAnswer: -47*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 less than 239\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 739186 and 31394.\nAnswer: 8131046","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2788 is divided by 279.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 1. Let l(g) = -4*g**2 + 5*g. Let y(b) = l(b) - 3*m(b). Suppose 0 = -2*n - d + 11, -10*n + 14*n - d - 7 = 0. Give y(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14921 - -21348. What is f rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3180 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w*w**(-1\/9)\/w)\/w)**(2\/35))**(1\/3))**(-43))**(-11\/8) assuming w is positive.\nAnswer: w**(-473\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2*sqrt(88) + sqrt(88) + -4*sqrt(198))\/(2*-5*sqrt(32)))*2.\nAnswer: 7*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxpxxxffb. Give prob of picking 1 p, 1 z, and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = -3*a + 5*k, 2*a + 49*k + 65 = 52*k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774 is divided by 71.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3497*z. Let n(d) = 11*d**2 - 3*d + 3. Let k(a) = 8*a**2 - 2*a + 2. Let v(w) = 3*k(w) - 2*n(w). Give v(h(o)).\nAnswer: 24458018*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v - 26. Give s(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 875 (c) -1 (d) -2\/3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/6*-3 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -525*z**2 + 13*z - 324. Let o(x) = -1049*x**2 + 21*x - 647. Let s(h) = 5*d(h) - 3*o(h). Find the second derivative of s(y) wrt y.\nAnswer: 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 890419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**20)**17 assuming i is positive.\nAnswer: i**340","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-22))\/(80\/880). Suppose -6 = 3*t - 21. Suppose -y + t - 13 = 0. Sort 0, c, y, 4 in decreasing order.\nAnswer: 4, 0, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -487 + 779. What are the prime factors of s?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p - 3*p + 14*p - 4*p**3)*(-4*p + 3*p - 3*p + 3 + 3*p - 3 + (p + 5 - 5)*(-1 - 1 + 0)) + p**4 + 7*p**4 - 3*p**4 - 4*p**4 - 17*p**2 + 5*p**2 + 10*p**2.\nAnswer: 13*p**4 - 11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3850 - 2676. Let i be 18\/30 + h\/10. Solve i = -2*p + 110 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 35*x**2 + 142*x - 552. Calculate m(-39).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1086 and 730154.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-47500)\/(-515375))\/(5\/7)?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-two fifths of a kilometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 38832, 34297, 29760, 25221, 20680?\n\"Answer: -d**2 - 4532*d + 43365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4060 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 823*g + 616*g - 102*g + 2563*g.\nAnswer: 3900*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -13288, 5, 4\/333?\nAnswer: 4\/333","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48.21 - -47.91. Let y = -18 - -15.6. Let g = -1.4 - y. Which is the nearest to g? (a) -4 (b) p (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13003.502 to the nearest 100.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 638 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -51, -86, -127?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*f**3*o**2*v - 383*f**3*o**2 - f**3*o*v + 59*f**2*o*v - 7*f*o**2*v + f*o*v + 2*f*o - 4*f wrt o?\nAnswer: 18*f**3*v - 766*f**3 - 14*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1 + sqrt(75) + -3 - (sqrt(75)*-2)**2*5) + -5)*-1.\nAnswer: -5*sqrt(3) + 1512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 26 = -3*b + 3, 3*b + 1 = -2*p. Solve -b*h + 0*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = -11*o + 10*o, 3*o = 4*r + 2. Solve -69*c - 4*t + 10 = -71*c, -6 = -o*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-22)))\/p*p**(-1\/21)*p*((p*(p*p\/(p**3*p))\/p)\/p)\/p*p\/((p**(1\/13)\/p*p)\/p) assuming p is positive.\nAnswer: p**(-6586\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34472187.\nAnswer: 3, 3830243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 8851689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 80 = -2*j, 12 + 74 = 3*x - 5*j. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1856, -3770, -5738, -7754, -9812, -11906?\n\"Answer: k**3 - 33*k**2 - 1822*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 15) to base 8.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-9404)\/(2 - (-280)\/(-96)) + (-1)\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 7\/(-8))\/(5\/(-10)). Sort 0.07, -3\/2, 0, c in ascending order.\nAnswer: -3\/2, c, 0, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iffw when four letters picked without replacement from wwtfiwfwp.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 2*p + 4. Let v be r(-3). Let b(t) = 8*t - 1. Let m be b(v). What is the second derivative of -3*f**5 + 0*f - 7 - f + m wrt f?\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6*x + s - 47 = 0, -5*x = 4*s + 137. Let g = -18 - x. Let k(m) = -m**2 + 15*m + 11. Calculate the remainder when k(14) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4642*g**3 + 0 - 4640*g**3 - 3*g - 2 in the form f*g**3 + o + i*g + t*g**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((48\/10)\/2)\/2. Let m = -72 - -79. Let z = -5 + m. Put -4, -6, g, z in decreasing order.\nAnswer: z, g, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5)\/o**(-31) assuming o is positive.\nAnswer: o**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**2 + 210 - 212 + 3*c**2 - 6*c. Let j(g) = -8*g**2 + 5*g + 3. Let y(m) = -5*j(m) - 4*q(m). What is the units digit of y(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0369 and -0.0462.\nAnswer: 0.00170478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*m + 3*m - 2*m)*(3*m - 2*m + 2*m) + m - 3*m**2 - m)*(m - 5*m + 5*m)*(-5*m + m + 0*m) in the form q*m + r*m**2 + l*m**4 + s + w*m**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 188.8 - 343643?\nAnswer: -343454.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3483 - 328. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 26 = 5*x, 5*y - 50 = -5*x - 15. Let d be (-5)\/10*(-7 - -7). Put -3, d, 1, y in ascending order.\nAnswer: -3, d, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-3\/2)*p)*p**(1\/8)\/p)**(-13) assuming p is positive.\nAnswer: p**(-65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6798?\nAnswer: 2, 3, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4433*c**5 + 113*c**2 - 1 wrt c.\nAnswer: -265980*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 266 + -4?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h - 21*h = -4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + 1)\/1 + (-726)\/154. What is the nearest to 0.8 in 1, 2\/5, 4\/7, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, -54, -203, -494, -975, -1694, -2699?\n\"Answer: -8*m**3 + m**2 - 2*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 134 - 667\/5. Put -3, z, 18 in ascending order.\nAnswer: -3, z, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 13*m - 16. What is the smallest common multiple of 12 and o(4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 5*s**2 + 1. What is c(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 537438 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = r - 12. Is (2\/r*-10)\/((-1)\/(-367)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -110*r + 11013. Let h = 27 + -18. Calculate the remainder when m(99) is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 784375\/5965128 + -55\/6373. What is the common denominator of c and -49\/72?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = 16*w - 69. Let k = w + -896\/13. Let m = -1 + 2. Which is greater: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -55\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.882305547 - 5.\nAnswer: -3.117694453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 2*u + 17*u)*(-3*u - 13*u**2 + 9*u**2 - u + 1) as q + a*u + t*u**2 + o*u**3 and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(-6) - 131451\/(-2038)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 562808553 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 930887 to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = u - 42 - 32, 148 = 2*u + 4*c. List the prime factors of u.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 16\/5, 1787 in descending order.\nAnswer: 1787, 16\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.23 + -30.77. Let u = r - -35. Let v = -1\/280 + -549\/3080. What is the fourth smallest value in v, 1\/5, 0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/4 - 5217*n**2 - 20889*n\/4 + 62613\/2.\nAnswer: 3*(n - 6957)*(n - 2)*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r - 1 + 1. Let c be y(-4). Let t = c - 3. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**3 + 8*t**2 + 4*t - 50. Let n(j) = 9*j**3 + 14*j**2 + 7*j - 100. Give -7*h(o) + 4*n(o).\nAnswer: o**3 - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323192276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 15*w - 245. What is the smallest common multiple of o(19) and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 547 = 4*x + 3*i, 2*x - x = 3*i + 148. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7744 + 83129*o**2 - 7744 - 83127*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2 - k + 34886. Let x be q(-108). Let m be (4\/(-10))\/(2\/(-40)). Sort x, m, 1, -3 in descending order.\nAnswer: m, x, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7096 - -19187. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 98\/8 - 6\/24. Let f be 6\/10*(w + -11). Is 4 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -19*p - 1. Let d be v(-1). Suppose o = -2*o + d. Suppose -o*i + 12 = -2*i. Solve -2*u + 5 = -i*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-3) - -2) + 2724\/36. Let m = r + 45. Let c = 104 - 93. Calculate the greatest common divisor of c and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfkrkkkfxkfwkrkkftkk. Give prob of sequence frw.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -463 or -462?\nAnswer: -463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34692 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14134 - -14131. Let n = 0.07 - -3.93. Which is the third biggest value? (a) -2 (b) m (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 181*s**2\/2 + 56*s + 88. Differentiate h(l) with respect to l.\nAnswer: 181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4) + ((-24559)\/(-7188) - (100\/(-36) - -3)).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 12*i - 10*i. Suppose -i = -2*h, 0 = -3*x - 0*x + 3*h + 15. Calculate the least common multiple of 12 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19362 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 - 4*m - 5. Determine l(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9159.821 kilometers?\nAnswer: 9159821000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 134\/(-26) + (-20)\/(-130). Let o(a) = -a**3 - 5*a**2 + 8*a + 8. Let w be o(-6). Sort w, q, 5 in descending order.\nAnswer: 5, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*(3 + sqrt(448)) + sqrt(448) + sqrt(448)*1 + 3 + sqrt(448))**2.\nAnswer: 384*sqrt(7) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -320332, -640642, -960956, -1281274, -1601596?\n\"Answer: -2*w**2 - 320304*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110186206 and 380.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.00284 to 1 decimal place.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -112010101 (base 3) to base 7\nAnswer: -42010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 24\/95, -0.3, -233.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2155556 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, -1, -84, -44, 34 in descending order.\nAnswer: 34, 10, 1, -1, -44, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(76)*-5*-3)\/((sqrt(20) - (-2*sqrt(160) + sqrt(160))\/sqrt(8))\/sqrt(5)).\nAnswer: 45*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 4 + (-1)\/(-2)*0. Suppose -4*v = 20, -2*b = -5*b + o*v + 20525. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11166 + 436 = -5*o. Suppose 4*j + 5*b - o = 0, -20 = -2*b - 16. List the prime factors of j.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1143679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 (base 11) in base 12?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25212 (base 6) in base 12?\nAnswer: -2208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/66 and -137\/156?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = p - 3*y, 0*p = -p - 3*y - 3. Suppose -3*c - p = -42. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17179702 - -3263.5.\nAnswer: 17182965.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 49.9.\nAnswer: 50.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(567))*3 + sqrt(567) + sqrt(567).\nAnswer: 3 + 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-25)\/(-35) + (-72)\/(-56). Solve -3*r - 4*a = 0, 0 = -6*r + 4*r - 2*a - m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10d223 (base 14) in base 15?\nAnswer: -b50b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010221818 to 6 decimal places.\nAnswer: 0.001022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 372*k + 752.\nAnswer: -2*(k - 188)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7116876 is divided by 1360?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.5, 0.9, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.2 + -0.8. Let w = 1.1 + -1. Let s = -5.1 + w. Which is the second biggest value? (a) -1\/6 (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66605 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/32 and -1 + (-428)\/(-384) - (-12)\/(-9)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 569566 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 550 + 51331?\nAnswer: 52211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5*q = 17 + 9, 6*q = -2*m - 28 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 941, 1944, 2951, 3962?\n\"Answer: 2*t**2 + 997*t - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/1*3\/48\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27353423?\nAnswer: 523, 52301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - f**2 + 2*f + (4 - 4 - 6*f)*(-4 + f + 4) - f**2 + 2*f**2 + 13*f**2 to s*f**2 + b*f + h and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/492 and -29\/7.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 239652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1*x\/(x\/(x\/x**9))*x)\/(x**(-1))**(-47))\/((x**(-2)*x**(-3\/5)\/x)\/(x**0\/(x\/x**2))) assuming x is positive.\nAnswer: x**(-242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {i: 1, o: 2, s: 1, f: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63153\/263, 0.1, -5\/3 in descending order.\nAnswer: 0.1, -5\/3, -63153\/263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 24 + 0)*(-1180*h + 164*h - 150*h).\nAnswer: -27984*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(825) + 2*sqrt(825) + sqrt(825) + sqrt(825))\/(sqrt(44)\/(sqrt(4)*3)) + -2.\nAnswer: -2 + 75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fttf when four letters picked without replacement from {f: 5, t: 9}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -5*l - 41. Let g = l + 25. Suppose 0*k + 2*k - 4*q - 170 = g, 5*k + 4*q - 355 = 0. Calculate the highest common divisor of 50 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a factor of 126108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2227950*c**2*z - 21*c*z - 7073*c wrt c.\nAnswer: -4455900*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(425))**2 + -3*((sqrt(187)\/sqrt(11))**2 + 2).\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 720145756 divided by -1388\nAnswer: -518837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2504\/306 - (540\/2025)\/(12\/10)) + -8.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4923 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 e, and 2 x when four letters picked without replacement from {x: 3, n: 1, r: 1, q: 3, e: 1, o: 6}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 225.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.22 - 0.08. What is the second smallest value in 3, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 11:37 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 1, 4*p - 44 = i + 11. Let j(d) = 2*d + 33. Calculate the lowest common multiple of j(-11) and p.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 930 by -6.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -871 + 6887\/8. Let b = 10141 - 7120. Let a = -15154\/5 + b. What is the common denominator of a and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -40*p**2 - 11*p - 8 + 24*p**2 + 15*p**2. Let t be 2*-2*18\/8. What is the lowest common multiple of 5 and a(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 226132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 + 217*i**2 + 1254*i - 36. Determine k(114).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 0 + 0*y + 18*y - 19*y + 0. Let h(u) = -358*u**2 + 2. What is h(z(q))?\nAnswer: -358*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5164*m**2 - 1012*m + 1012*m - 1831*m**2 as s*m**2 + z + c*m and give s.\nAnswer: -6995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 11:27 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1037051*f**3 - 537578*f - 1.\nAnswer: -6222306*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 1\/50 (c) -953 (d) -9\/8 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(4) + sqrt(12)\/sqrt(3)) - -1*sqrt(400))\/(sqrt(800) + (sqrt(800) - sqrt(800)*5)).\nAnswer: -sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 26. Let h = 13 + p. Solve 0 = 4*j - h + 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3068 - 3063. Let n = 2\/227 + 436\/2043. Put y, n, -1, 2\/3 in ascending order.\nAnswer: -1, n, 2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0, 2, -5, 181\/3 in increasing order.\nAnswer: -5, -2\/3, 0, 2, 181\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 31. Let h = -0.02 + 128.02. Let t = h + -127.95. What is the closest to m in -3\/5, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*w - 86270 = -116*w. What are the prime factors of w?\nAnswer: 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 150 + 6. Suppose -528 = 2*r + r. Let i = r + 184. Calculate the lowest common multiple of i and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 970140*j**6 - 54*j**4 - 65364847*j**2 + 5*j wrt j?\nAnswer: 116416800*j**3 - 1296*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 u when three letters picked without replacement from {s: 7, m: 3, u: 9}.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-124)\/6*(28 + -34). Solve h*g - 120*g = -4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -24. Suppose 0 = -2*u - 0*u - 5*d - 18, -45 = 5*u - a*d. Let l be (u\/(-4))\/(9\/12). Solve 8*g = l*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - j**2 + j + 1. Let p(v) = v**3 + 16*v**2 - v - 16. Suppose 2*k = -2, 4*b + 4*k = b - 1. Let g(s) = b*p(s) + 6*o(s). Factor g(r).\nAnswer: -5*(r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.4 (c) 2\/11 (d) 0.5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51472443 to the power of 1\/2, to the nearest integer?\nAnswer: 7174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 11 - 8)*(-p + p + p) - p - 2*p + p)*(3*p**3 - 2*p + 2*p) to the form y*p**3 + g*p + w*p**4 + n*p**2 + d and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmkqrr. Give prob of picking 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29017015 a multiple of 2497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 41865*y**2 + 1 - 1 + 41857*y**2.\nAnswer: -3*y**3 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-94)\/(-16))\/(-24 - (-41 - -1) - 15) and (-255)\/(-36) + 0\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w + 3. Let x = -60 + 71. Let j(q) = 10*q - 16. Calculate x*y(v) + 2*j(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/24924 and -20\/1407.\nAnswer: 174468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 7, p: 1, h: 2, t: 3}. What is prob of picking 1 t and 1 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13\/299*((-8)\/(-6))\/((-12)\/9)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-16)\/40 + -10. List the prime factors of (-48 + 0)\/z + 1332.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/2*(-2)\/14)\/(9\/60).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000984167 to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, 23, 17, -5, -49, -121, -227, -373?\n\"Answer: -o**3 + o**2 + 8*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95067\/2 + -47533. Suppose -14 = -4*i - 2. Suppose i*t = -t. Which is the second biggest value? (a) t (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 990 + -989.999997. What is y rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 + 2)*(-h - 2*h + 5*h) + 8*h + 10 - 10 + 4*h - h - 2*h)*(-84 - 1 - 46) to the form o*h + j and give o.\nAnswer: -1441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(0\/(-3))\/(-1). Let o be 4\/3 - 10\/(-15). Suppose 0 = w - y + o. Is w smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -11*y**3 + 4386*y**2 + 1213*y - 6386. Determine z(399).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 530, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 26. Suppose -4*l - 3 = -t, 5*l - 4*t = -t - r. Let q(o) = -o**2 - 4*o. Let h(m) = m. Let v = 0 + -2. Determine l*q(g) + v*h(g).\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/18)\/(((-380)\/(-4446))\/5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16757, -33503, -50243, -66977, -83705, -100427, -117143?\nAnswer: -133853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 11*k + 11. Let y be n(11). Let s = y - 5. Let 10*j**2 - 12 + 6*j + 2*j + 0 - s*j**2 = 0. What is j?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -561 - 504. What are the prime factors of m?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -620241*l**2 - 760424*l?\nAnswer: -1240482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*o + 15, -3*j - 15 = -3*o + 2*j. Suppose 5*p - 5*w + 4*w - 4296 = o, 3*p + 2*w = 2575. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(3*-8*11\/4488)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2\/4 + 104*f + 14703\/4 = 0.\nAnswer: -377, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 0*r + 0*r - 3*r + 4*r - 2*r + (0*r - 2*r + 0*r)*(0 + 3 - 5) + r - 3*r + 0*r + 4*r - 5*r - 3 + 2*r.\nAnswer: 4*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 344430577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.004 - 26.996. Let w = -26 - z. Do -2\/11 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 1. Let z be q(-3). Suppose 3*n - 41 = -t, 2*t + 27 = 2*n + 5. Suppose 6*i = 7*i - 2. Solve -z = -i*j + 5*j - 5*h, 4*j = -h - n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 - -158. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -19, -6, -2, -4, 1 in descending order.\nAnswer: 1, -1, -2, -4, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**7\/2520 - 79*o**5\/60 + 43*o**2. Let w(d) be the third derivative of f(d). Calculate w(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*g - 140 = -2*g, 4*g - 105 = -3*r. Solve -3*b = z - 9 - 11, 0 = 5*b + 2*z - r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31845078? (a) -2\/7 (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -0.048, 46, 0.4, -5?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1328, 2745, 4152, 5543, 6912, 8253, 9560?\nAnswer: 10827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -158, -179, -220, -287, -386, -523, -704?\nAnswer: -935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (3 - (-1 + 2)). Let w = i - -9. Solve -3*h - 6 = w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 12*o + 50. Suppose -2*d + o = 3*d. Suppose 2*q - 10 = -d*i, 3*i - 1 = 2. Calculate the smallest common multiple of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = k + 4*u - 19, u - 49 = -3*k. Find the common denominator of -21\/4 and 516\/k*2\/(-24).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14541\/2 + -1875707\/258. Calculate the common denominator of i and -37\/8514.\nAnswer: 8514","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h - 167*h**2 - 1 - h**3 + 167*h**2 + h**3 - 2*h**3 + 3*h**3 + (-2*h + 0*h + h)*(2 - 2*h**2 - 2).\nAnswer: 3*h**3 - 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 12. Let u = 0.5 - 2.5. Which is the nearest to u? (a) 0 (b) q (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47 + 11307*l**3 - 11099*l**3 - 54 wrt l?\nAnswer: 624*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 8\/3*n - 2\/9*n**4 + 4\/3*n**3 - 26\/9*n**2 - 8\/9 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6278?\nAnswer: 2, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2*b - 10 = 13, 0 = 4*r - 5*b + 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/15 + 20540*c\/3 + 410960\/3 = 0. Calculate c.\nAnswer: -20, 51370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 7. Let n be (1 - 0)\/(-6) - (-1079)\/498. Let r be (12 + -18)*(-2)\/n. What is p(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4\/11)\/(s\/(s**13\/s)) assuming s is positive.\nAnswer: s**(117\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*n**2 + 275*n - 275*n - 138*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 44973\/162 + 2\/(-4). Let q = -278 + m. Is 1\/2 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7340025 litres to millilitres.\nAnswer: 734.0025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2020\/170 - 4\/(-34). Is (1 + 1)\/(i\/666) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 193, 194, 211, 256, 341, 478?\n\"Answer: 2*f**3 - 4*f**2 - f + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 153, 157, 165, 177, 193?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -369785537*v**2 - 24088325*v?\nAnswer: -739571074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 363677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + -1 - -23 - -29.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 790405.\nAnswer: 4742430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 2*l**2 - 20*l - 55. Let g be j(5). Solve -5*m + 5*r = -30, -5*m + 148*r - 153*r + g = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*x - 3*x - 2*x)*(-x - 4 + 4) - 12*x**2 - 3*x**2 - 18*x**2 + x**2)*(6 + 23 - 1).\nAnswer: -924*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34487 and -1?\nAnswer: 34487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.89 + -0.11. Which is the nearest to 0? (a) f (b) 3\/13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12052 divided by -3013?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125)\/(-375)*3*-14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 38*w**2 + 3005*w - 167. Give h(77).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkvkvkvk.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/7, -0.0187, -4.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -0.03, 16\/527, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-13)\/(-3) - 26283\/(-36). Let n = p - 730. Is n at most as big as -1.59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*j**2*o**2*r**2 + 34*j**2*o**2 + 30*j**2 + 13*j*o**2*r**2 + 1231*j*o wrt j?\nAnswer: 12*o**2*r**2 + 68*o**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -553430 (base 6) to base 8.\nAnswer: -132132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*s - 3*c, -2*s - 3*c + 15 = -4*c. What is the highest common divisor of s and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 9. Suppose 0 = 4*t - d + 18. Is t at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/1 - 5)*1. Let y(c) be the second derivative of -1\/10*c**5 + 1\/3*c**3 + 0*c**x + 0 + 0*c**2 - c. Find the second derivative of y(q) wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 1 - 60 - 67 - 17)*(7*x - x + 11*x).\nAnswer: -1938*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/105 and 72\/165095.\nAnswer: 495285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omom. Give prob of sequence mo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + -130?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243))**2*-1 - 2*sqrt(75)*6.\nAnswer: -243 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14081.\nAnswer: 14081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 11*a = 40 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (13 + (2 - 15) - 1) - (3 + 38)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 45\/157 (b) 0.03 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 525115453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1120*s**4 - 5*s - 12601?\nAnswer: 4480*s**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/535, 0.27, -4, 242\/5?\nAnswer: 242\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x + 12. Let m = x - -2. What is the tens digit of (-195)\/(-12) + m\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -357, -732, -1107, -1482, -1857?\n\"Answer: -375*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.011412202 - -121062899.988587798. Let a = x - 121062884.9999998. Let h = 15 - a. Round h to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (-3)\/(-1 + 4). Which is the closest to 3? (a) -0.4 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*w - 416*w + 39*w = 438*w + 45980 for w.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26262*c*z**4 - 112*c*z**3 + 2*c - 2*z**4 - 6*z**2 + 2822433*z + 1 wrt z?\nAnswer: 630288*c*z - 672*c - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1) + 4\/4. Suppose -j = 2*f + 9, -4*f - d = -j - f. Let k = 8 + j. Solve 0 = -y + k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 times 61?\nAnswer: -20130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 22181170\nAnswer: 22181169.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**2 + 20*c + 22. Let b(n) = 6*n**2 - 21*n - 21. Let q(v) = -4*b(v) - 5*l(v). Let k be q(18). Let a = 2 + -2. Solve -5*r + k*r = a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -370 and 0.2.\nAnswer: -369.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w + 16. Let q(o) = -o - 8. Let p(f) = 5*q(f) + 2*x(f). Let l be p(16). What is the units digit of l\/14*91\/26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3732934 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, g: 7, l: 8}. Give prob of picking 2 l.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2804830 divided by -4?\nAnswer: -1402415\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**1*a)\/(a\/((a*a\/a**2*a)\/a)))\/(a\/(a\/a**(-2\/11)*a)*a\/a**2)*(a**(1\/3)*a*a\/(((a**3\/a*a)\/a*a)\/a)*a)\/(a**(-4)\/(a**(-1\/3)*a)) assuming a is positive.\nAnswer: a**(101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 34 - 14. Let h = -16 + 43. Let a be (2\/5)\/(h\/(-30) - -1). Solve -a*k + 26 - r = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 89*v**2 + 608*v + 147. What is o(36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-7))\/((-480)\/1120).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78458702 to the nearest integer?\nAnswer: 8858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-nine fifths of a decade?\nAnswer: 1176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -25, -2, -3, 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)*b)**(2\/19)\/((b**4\/b)\/(b**1\/b)))**4 assuming b is positive.\nAnswer: b**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 5*s**2 + 2*s + 19. Determine y(-3).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 divided by -92.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1172675 - 221835.95.\nAnswer: -1394510.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24726 is divided by 1999.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lii when three letters picked without replacement from {q: 5, l: 4, i: 5}.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4907317060 to the nearest integer?\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*j**2 + 47*j**2 - 23*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4444163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + -0.1. Let g = 1502.2001 + -1502. Let z = g + s. What is z rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 = 43*y + 74 + 318 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3663 is divided by 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - f + 2. Let q be b(1). Let g be 3 - (3\/(-1) - q). Suppose -a = 4*a - 3*o - 69, 79 = g*a + 2*o. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2082 + 2.394232?\nAnswer: -2079.605768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a year in months?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 6*c**2 - c - 29. Let l be w(-3). Let b(r) = 2*r**2 - 5*r - 28. Let s be b(-3). Solve -5*t - l - 4 = s*q, 0 = q - t + 9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s - 8*s**4 + 5*s)*(5 + 24 - 1) as r*s**2 + h*s + v*s**3 + j + u*s**4 and give u.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 * 2696538.\nAnswer: 107861520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-192)\/160)\/(91\/(-26)*3\/(-280)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 688955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4 - -2.4. Suppose -191*q = -198*q + 14. What is the closest to w in q, 1\/8, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -298*p**3 + 864*p**3 + 944*p**3 - 540*p**3 + 1166*p**3 + 1817 wrt p.\nAnswer: 6408*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*m**2 - 105*m**2 + 8 - 26*m**3 - 25*m**3 - 8 + 48*m**3.\nAnswer: -3*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10304 divided by -1790.\nAnswer: 5152\/895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from kkkkzkkwk.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -693 - -692. Let s(b) = -2*b**2 - 1. What is s(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 14. Let b(w) = 0*w - d*w**2 + 0*w + 4*w**2. Let k(g) = -5*g**2. Calculate b(k(l)).\nAnswer: -25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -4*u - 4, 5*u = -0*u - p + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 + 8*g**2 - 2*g + 3 + 7*g**2 - 17*g**2. Give r(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-178)\/1869*14\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 - 322*w**3 - 89*w**3 - 162.\nAnswer: -411*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -4 - (-24)\/4. Is 3\/(9\/k)*46 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5006.59 and -2.938.\nAnswer: -14709.36142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 13*v**4\/12 + 12*v - 155. Let s(k) = 136*k**2 + 2. Give m(s(f)).\nAnswer: 240448*f**4 + 7072*f**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 17*i + 39. What is the remainder when z(-5) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*g + 31 - 11, -3*g - 4*t - 26 = 0. Let r be 0*(3 - 5)\/g. Suppose r = -5*j - 1 - 4. Sort -5, j, -3.\nAnswer: -5, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -355 - -352. Suppose 4 = k + 10. Is (-4 - (-4 - 76))*d\/k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.2, 22, -3, -148936?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from lvlllvlllllllvllll.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*s = 73*s - 423 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 279570361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-5 + 10 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 + -35. Suppose -5*q + 24 = -p. Let n be ((-35)\/35)\/((-2)\/8). Solve -n*h - 26 = -2*d, 3*h = 2*d - 9 - q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(-2) + 3)*-10. Let b(v) be the second derivative of v**3\/3 - 5*v**2\/2 - v. Let n be b(6). Solve -r*x = -n + 22 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*v + 73*v + 77*v - 228*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -1\/2*s**5 - 1\/70*s**7 + 14*s**2 + 3*s + 0*s**3 - 1\/60*s**6 + 0*s**4 + 0. What is the third derivative of c(t) wrt t?\nAnswer: -72*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1727495*r - 4405695?\nAnswer: 1727495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 8*l**2 + 2*l - 2. Let k be x(8). Is (k\/(-3))\/(4\/(-66)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 - -11202130213?\nAnswer: 11202130332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3081*h - 3079*h - 84 = -4*w, 64 = -3*h + 4*w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 3034530600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 19*q = 32*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 10. Let s(y) = 4*y + 50. Let b(f) = -5*c(f) - s(f). Let o = 0 + 2. Let k(m) = m**o - 4 + 4 + 4*m**2. What is b(k(x))?\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 6*v - 89 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19461972 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*a**3 + 218*a**3 - 440*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36506.18103 + 36506. Round u to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1893 + -1761. What is the closest to -0.1 in 0.1, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 7*r + 9. Let z be x(-8). Suppose -z = u + 1. Let y be 2\/((u - 6) + -1). Which is the nearest to 2\/5? (a) -3\/7 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/7 + 247*l**3\/7 + 54084*l**2\/7 - 165412*l\/7 - 219248\/7 = 0. What is l?\nAnswer: -142, -1, 4, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 3408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3330*r + 735661. Determine t(-221).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9975?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -2 + sqrt(9)\/sqrt(3))**2 + 3.\nAnswer: -8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1038 + -1034. Let d(i) be the second derivative of -3*i + 0 + 0*i**k - 3\/10*i**6 + 0*i**5 + 0*i**2 + i**3. What is the second derivative of d(f) wrt f?\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16913 times 69\nAnswer: 1166997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 + 6*y - 6. Let n(l) = 3*l**2 - 8*l + 8. Let d(k) = 4*j(k) + 3*n(k). Let t(q) = 317 + 9*q - 317 + 3*q. Give t(d(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 - l**2 + l**3 - l**2 + 0*l**2 + 7 as v*l + s*l**3 + y + t*l**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gttt when four letters picked without replacement from gttgttgtgggg?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 6 - 6. Let r = 15 + t. Suppose -l - 5 = b, 15 = -0*b - 3*b. Solve 3*v + 0 - r = l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuzuuuuuz. Give prob of sequence zz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 + (15 - 16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -246, -566, -1026, -1632, -2390, -3306, -4386?\nAnswer: -5636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23831088?\nAnswer: 2, 3, 496481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2 + sqrt(425))**2 - 6*(3*sqrt(17))**2).\nAnswer: 40*sqrt(17) + 978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94887691097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 + 2*z + 22*z**3 + 67 + 8*z**3.\nAnswer: 28*z**3 + 2*z + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 4*h**2 - 3*h + 11. Let t be n(4). Which is smaller: -2\/15 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1406879313.\nAnswer: 3, 7, 263, 254731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 10 - 12 = 0. Let z be 11\/((-33)\/(-45)) + 4\/b. Determine p so that -13*p + z*p - 24 + 23*p - 3*p**2 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 4918.\nAnswer: -2459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (568 + -22)\/(-39) + -8 + 7 + -17\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -i - 4*i. Suppose h + 2*b = -3, 3*h - 5*b - 7 = -i*b. Suppose 0 = 3*w - h + 7. Sort 2, -4, w in decreasing order.\nAnswer: 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x**3. Suppose -3*w + 0*w + 15 = 0. Suppose 1 = -4*u + w*u. Determine h(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.31, -203, -3\/4?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6656 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, -1\/3, -1, -0.14 in descending order.\nAnswer: 1\/12, -0.14, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/56? (a) -1\/4 (b) 3 (c) -1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 101, 5, -2\/113?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/10 + 4\/(-10). Suppose 0*p = u*p. Suppose -5*a + r + 3 + p = 0, -3 = -2*a + r. Solve a*j = -x - j + 4, 5*j - 17 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 543 divided by 3\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184 or 1285350?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*x**4 + 177663*x**3 + x**2 - 5017031*x?\nAnswer: 168*x**2 + 1065978*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 584820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9517064 + -3994752.9?\nAnswer: -13511816.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204805*i - 198714*i + 663919 = 0 for i.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(7\/(-3) - -2). Suppose 4*k - 50 = -r + 4*r, -4*r = k - 3. Let l = a + k. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 737.333 tonnes to milligrams.\nAnswer: 737333000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**6\/120 + d**5\/15 + 7*d**4\/24 - 5*d**3\/3 - 17*d**2. Let j be b(3). Solve 3*s = -2*p - p - 12, 0 = -3*p - 5*s - j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -501010231 + 5?\nAnswer: -501010222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -43\/2*n**2 + 0*n**4 - 2\/3*n**3 - 2 - 17\/4*n**5 - 3*n. What is the second derivative of k(b) wrt b?\nAnswer: -510*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 273*m**2 + 106*m + 563. Is y(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1 (b) -7\/9 (c) 2\/11 (d) -115 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31562 - 28713 = -25*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 12 = 3*m, -197*l + 193*l + 5*m = 14 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 - 453000*m\/7 + 1359018\/7.\nAnswer: -2*(m - 3)*(m + 226503)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2291*q**4*z - q**4 + q**3*z - 15*q**3 - 18436*q**2 + 42*z wrt q.\nAnswer: -54984*q*z - 24*q + 6*z - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 19 = -t + 5*p, 0 = 4*p - 16. Let l be (-38)\/(-1*(1 - 0)). Let f = l + t. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 4*t - 32 = -15*a, 2*a = 2*t + 22. What is the remainder when 79 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335 = -27*s + 61*s + 33*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123775, 123850, 123925?\nAnswer: 124000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1091879864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8 + 103.\nAnswer: 104.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**3)**(3\/14)*(a**(-1))**(-13\/3) assuming a is positive.\nAnswer: a**(109\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 2. Let d be (-43 + 3)\/(-4) + 3. Suppose d*k - 16*k + 108 = 0. Let p = k - 35. Let o(a) = -a + 1. Give p*c(j) + 2*o(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 31 = q, 3*d - 6995 = q - 3519 - 3515 for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-532)\/(-38))\/(7\/262) is divided by 465?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 52*l + 252*l)*(-1 - 1 - 2) - 4*l + 3 - 3.\nAnswer: -788*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l**2. Let t(q) = 4*q - 11. Let m(i) = i - 3. Let n(u) = -5*u + 13. Let a be n(7). Let d(g) = a*m(g) + 6*t(g). Calculate d(b(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 42 = -4*w, 3 = w - 0. Suppose 2*o = -2*b + 20, 4*b - 45 = 5*o - 10*o. What is the greatest common factor of x and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 13*a**2 - 8*a + 96. Let q be v(-14). Solve q*u - 46 = 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + 91 - 37 - 42.\nAnswer: 2*k**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2519557045 + -3?\nAnswer: 2519557042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6285 - -6285.02. Let r = -1 + 0.8. Put 0.3, w, r in ascending order.\nAnswer: r, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34681153223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1aa11115 - 4?\nAnswer: 1aa11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -5\/2, 1372?\nAnswer: 1372","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.87879l to millilitres.\nAnswer: 56878.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1452902 or -24699319\/17?\nAnswer: -24699319\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 - 1 + 0*d**3 - 4*d**3 - d**3 in the form v*d**2 + h + u*d**3 + n*d and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1293995, 2587945, 3881895?\nAnswer: 5175845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 9564670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -773 + 777. Suppose 26 = 9*r + t*r. Solve -12 = 4*d + r*a - 3*a, -4*d - 4 = -3*a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202 divided by -161?\nAnswer: -1202\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 32 + 2 + (1354 + -1348 - (-7 + 1))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30600*h**2*l - 5*h + 2291937*l wrt h.\nAnswer: 61200*h*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19511 - -8994566\/461. Let j = -20725\/1844 + r. What is the common denominator of j and -51\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c + 14. What is z(6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 4*n**2 + 6*n - 6. Let a = 16 - 21. Determine u(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*n - 736 + 1886 = 0 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23766 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihhh when four letters picked without replacement from {i: 9, h: 10}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84.4 - 106.4. Which is smaller: s or 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3508 - -6883\/2. Let j = w + 65. Is -2 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 13*j**2 + 15*j + 17. Give r(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 170*m - 7 - 195*m.\nAnswer: -365*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 20 + 28. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/34*60\/(-15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4 - 2*h**3 + 141*h**2 - 738*h + 1080 = 0 for h.\nAnswer: -15, 3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y + 2. What is the smallest common multiple of f(0) and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2*(-7)\/(-112))\/(6\/((-48)\/(-1))). Which is the fourth biggest value? (a) h (b) 6 (c) 0.01 (d) -2 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (109 - (-43581)\/(-398))\/(-9*2\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -88410*d - 203942.\nAnswer: -88410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/2, -5\/3, -523\/3, 1\/54, 2, -3, -1?\nAnswer: -523\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80905186381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 6.7.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a milligram in micrograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00040286238 to 7 dps.\nAnswer: 0.0004029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-4 - (-5 + (5 - 3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*sqrt(56))\/sqrt(8).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aahgp. What is prob of sequence hpa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60703*n**2 + 60703*n**2 + 3*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 20. Let z be n(7). Suppose -1 = d - 3*k, -3*d + 6*k + 21 = 3*k. Is d > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(95)*-2 - sqrt(95)) + sqrt(95))\/(2*sqrt(320)))**2.\nAnswer: 475\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/3274 and 15\/22.\nAnswer: 36014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137041018 to the nearest integer?\nAnswer: 11706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*-4*(-2 + sqrt(2057) + -3))**2.\nAnswer: -16368*sqrt(17) + 300052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 11*b - 17. Let n be a(9). Let r = n + -62. Let x(t) = -19*t + 3. What is the remainder when x(-4) is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8*(4 - 1). Suppose -3*m = -0*m + 6. Let f be (-128)\/156 - (-2)\/3. What is the closest to -2\/5 in f, m, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u + 5 = 0, -2*w = 3*u - 23. Suppose 15 = p + w*p. Suppose 0 = 2*k + 5*l + 33975, -10 = p*l - 5*l. Round k to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -203307611996\nAnswer: -203307611995.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*a + 13*a**2 - 8*a - 4*a + 23*a to v*a**2 + p*a + k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/15 (b) 0.5 (c) 2\/11 (d) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3857 = -2*b + 4016, 5*b - 19702 = -4*r. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 5462 (c) -5 (d) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 46*z**2 - 43*z + 130. What is the smallest common multiple of 16 and o(-45)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303.2665 minutes to microseconds.\nAnswer: 18195990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -25*m + 7. What is y(-3)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 6:47 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 1\/8*n**4 + 0*n**3 + 0*n + 1\/10*n**5 - 5 + 7\/2*n**2 + 1\/40*n**6. Let h(q) be the second derivative of b(q). Factor h(m).\nAnswer: 3*m*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13b800 + -4?\nAnswer: -13b804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -229482, -458969, -688458, -917949, -1147442, -1376937?\n\"Answer: -x**2 - 229484*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 8 = 2*r - 14, 3*k - 8*k + 52*r - 355 - 133 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*a - 22, -2*a - a = -3*j - 15. Suppose -g - 21 = 5*c, 4*g = c - a*c - 9. Suppose -16 = -g*l + 16. What is the least common multiple of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -11. Let s = a + -9. Solve s*f = 4*f - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201971807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 6, 3\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2.4, -0.2, 4, -0.4, 145?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/(-24) + (-4)\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -22*d**2 + 234*d - 203. Give j(9).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/2)*a)**(-45)*(a\/(a*a\/(a\/a**(-1\/9))))\/a*a**(7\/4) assuming a is positive.\nAnswer: a**(-4019\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = 102*t + 548, 7*c = 6*c + 3*t + 6*t - 5*t + 30 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v = -g - 186, 2*v = 2*g + 68. Suppose -11*k - v + 93 = 0. Solve -5*w + 3*u = -3 + 6, 2*u = k*w + 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57190 is divided by 44?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -46909 divided by 6?\nAnswer: -46909\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 601320 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = 5. Suppose -341 = -j*u + 69. Let t = -5 + u. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 392*f + 18037. What is the smallest common multiple of g(-46) and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181802699 is divided by 1422?\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 - (2 + -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1083 + 0.0917. What is the smallest value in g, 0.3, 13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 10 - 8 - (-47 - -92).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*m + 49*m = z, 2*z = 2*m + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 559535 to the power of 1\/2, to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + ((-1 + sqrt(500) + sqrt(500)*-1 - sqrt(500)) + (sqrt(500) + -2 + -5 - sqrt(500)))**2 + -2).\nAnswer: 320*sqrt(5) + 1114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from tlvzk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 287 + -283. Let c(o) be the third derivative of 0 - 1\/20*o**5 + 0*o**p + 0*o + 0*o**3 - o**2 - 1\/30*o**6. What is the third derivative of c(j) wrt j?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v**5 - 25027*v**4 + 281680*v**3 - 441708*v**2 - 813024*v + 1539648 = 0 for v.\nAnswer: -12\/7, 2, 9, 3564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 4*b + 16, 30*w = b + 32*w + 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 12780.\nAnswer: 12780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 7*y**2 - 4*y. Determine g(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569*i = 1235*i + 635*i + 128799 for i.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - 11 - -15 - -6) + -19\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2 + 5*v - 6 = 0. Calculate v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58.9099955585 - 58.91. What is q rounded to seven decimal places?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 plus 0.071801876?\nAnswer: 172.071801876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (357\/68)\/((-189)\/(-864))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -17. Let o = a + -1. Is 4\/13 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2445 + 2454. Let m(i) be the third derivative of i**4\/6 - 7*i**3\/6 - i**2. Is 6 a factor of m(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2791\/7 + 399. Let q = 522\/5 - 104. Which is the nearest to x? (a) -5 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612\/66 - (19 + -10)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -3)*(-8)\/(-24). Which is the closest to f? (a) -4 (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 2) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 451 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52142\/5 + -10428. Which is the third biggest value? (a) g (b) 4 (c) 0.095 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4144 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((-21)\/3 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5.8*223.3\nAnswer: -1295.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 1 - (-1 - 2\/(-1)). Suppose -4*j - 86 = -2*y + 64, 2*y - 3*j - 155 = z. Suppose c = 86 - y. Is c > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 5*o + 2. Let h be z(-5). Suppose -108980 = -4*t - t + 4*d, 87210 = 4*t + h*d. Round t to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**4\/8 + 4*g**3\/3 - 9*g**2\/4 - 103. Factor m(z).\nAnswer: z*(z - 1)*(z + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -187 in descending order.\nAnswer: -2, -5, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by -195\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a - 2. Let u(s) = 2*s**2 + 2*s. Let d be u(-2). Suppose -p + 3*y = 3*p - 25, 5*p - d*y - 32 = 0. Is 9 a factor of g(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4240 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-12))\/(15*(-37)\/8880)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/49 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*(3\/4 + 225148\/(-1904))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 13*g**2 + 24*g + 41. Let t be p(-11). Suppose -4*v = -k + 172, 0 = -2*k - 3*v + 2*v + 299. Calculate the greatest common factor of k and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23057, -23055, -23053, -23051?\n\"Answer: 2*h - 23059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*c - 1 + 38*c - 4 + 4 - c + (-4 + 4 - 2*c)*(3 + 0 - 4) - 4*c + 0*c + 0*c + 2*c - 2*c - 2*c - 2*c - 2*c + 3*c.\nAnswer: 29*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2014 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**4\/72 - 4*j**3\/9 - 16*j**2\/3 + 146*j. Suppose g(n) = 0. What is n?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/b**(-13)*b)\/(b**(6\/7)*b))\/(b**(-7)\/(b*b*b**(5\/4)\/b*b)) assuming b is positive.\nAnswer: b**(711\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -3330?\nAnswer: -3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:38 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1683 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*o + 184, -5*o - 4*p + 0*p = -241. Let t be (0 + -6)\/((-6)\/o). Suppose -2*n = n - t. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljiyiy. Give prob of sequence iy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(275)*1) + (2*sqrt(275) + -4 + sqrt(275))*-1)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 186*o**2 + 729*o + 122. Calculate the remainder when 311 is divided by j(182).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 0*y**3 + 0*y**3)*(650*y - 1616*y + 787*y).\nAnswer: 537*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + 599. Is 52 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {m: 6, b: 6, r: 7}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34079695 a multiple of 845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.171381 tonnes to grams.\nAnswer: 5171381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**4\/24 - v**2. Let t = 46 - 44. Suppose 0 = -4*y - 4*d, 0 = t*y + 3*y - 3*d + 24. What is i(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*i + 6*i - 23*i)*((-i - 1 + 1)*(82 + 25*i - 82) + 0*i**2 + 2*i**2 - 4*i**2) + 4 + 3*i**3 - 5 + 2 to n*i**3 + w*i**2 + c*i + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1100101001111001 (base 2) to base 15\nAnswer: -10558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -14*u - 16. Let s(l) = -9*l - 10. Let a(o) = 5*n(o) - 8*s(o). Let q(w) be the first derivative of w**2 + 3*w + 1. Calculate q(a(i)).\nAnswer: 4*i + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 87*b**2 - 4*b - 6. What is the tens digit of m(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10249 is divided by 1022.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.58 to two dps.\nAnswer: 1.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24251616 (base 7) in base 4?\nAnswer: -20100103233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1032277*u**3 - 3096833*u**3 + 1032276*u**3 + 1032283*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*s - 2*s - 27, -5*s = 4*b + 25. Let n(p) = -p + 6. Let x be n(b). Let h = -42 - -68. Solve 0 = -3*m + h - x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102233131233 (base 4) in base 5?\nAnswer: 2224204012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58962*h**3 - 7*h**2 + 109255*h - 40.\nAnswer: -353772*h - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93 - -102. Let k = m - 139. Calculate the highest common divisor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4061747463?\nAnswer: 3, 1353915821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 7970, 5 in increasing order.\nAnswer: 5, 29, 7970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -3, -4, -8 in ascending order.\nAnswer: -8, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.21+-6145\nAnswer: -6145.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 402915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -162*p**3 + 3*p**2 + 8*p + 31. Is a(-2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3921414 and 3921415 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 119052128 or 119052127?\nAnswer: 119052127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -244*v**3 + 8*v + 243*v**3 + 2*v + 1 in the form i + w*v + x*v**2 + k*v**3 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/5, 0.5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 66150443 (base 7) to base 6\nAnswer: 321354355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v\/v**(-9)*v)*v)\/v*v)\/v*v\/(v\/(v*((v*v**(-2\/31)\/v*v)\/v)\/v))*v)\/(v**(-3\/2)\/(v**(-6)\/v)))**(-6\/5) assuming v is positive.\nAnswer: v**(2709\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 441435, 441432, 441431, 441432, 441435, 441440?\n\"Answer: r**2 - 6*r + 441440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (116 + (-3300)\/66)*(-2)\/11 - (-11)\/3?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 4305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5\/5 + 3073*c**4\/5 + 6149*c**3\/5 + 615*c**2 = 0.\nAnswer: -1, 0, 3075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -c811 (base 13) to base 12\nAnswer: -1406a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (33947*t - 17945*t - 19690*t)*(0 - 3 + 2).\nAnswer: 3688*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -491, -452, -419, -392, -371?\n\"Answer: -3*a**2 + 48*a - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 144 = -0*a. Suppose -3*l = 36, -56*k - 4*l = -59*k + 25 + 80. What is the remainder when a is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 2*u**2 - u + 1. Let t be q(2). Suppose 4*k + 2*y = -32, -y - 234 + 590 = -91*k. Sort k, -2, t.\nAnswer: k, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7671231 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-66) - (-28)\/(-154).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 877741.\nAnswer: 499, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 6:02 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 270*j + 275*j = -46, 12 = -8*b + 2*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -s - 3*a - 4, -2*s + a - 34 = 0. Is -14 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(15) + sqrt(30)\/sqrt(2) - sqrt(15)))\/(-1*sqrt(720)) + ((1*sqrt(528))\/(sqrt(33)\/sqrt(3)*-5))**2.\nAnswer: sqrt(3)\/12 + 48\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*c + 3*t, 4 = -0*c + 2*c - 2*t. Let y = -1 + 0. Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 35127402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1142 = 3*j - 774, j = 2*k + 644. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76114666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-78)*6)\/(-1)*3.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 21*p**3 - 7. Let m(l) = l**3 - 3*l - 1. Determine -f(n) + 7*m(n).\nAnswer: -14*n**3 - 21*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from styytytyyst. Give prob of picking 1 y, 1 t, and 1 s.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o\/o**(-3\/7))\/o)\/o**(-9))\/(o*o*o*o**(2\/7)*o*(o*o*o**9*o)\/o)*(o*o*o*o**(-8)*o*o**(-1\/14)\/o)**20 assuming o is positive.\nAnswer: o**(-737\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/(3\/(-24 - 6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 1\/60*d**5 + 0 - 1\/6*d**4 + 0*d - 2\/3*d**3 + 8*d**2. Let l = 8 + -3. Calculate p(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i**3 - 7*i + 4*i + 0*i - 2*i**3 - 133 wrt i?\nAnswer: -15*i**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**4 - 147459*p*t + 9430*t - 16 wrt p.\nAnswer: -4*p**3 - 147459*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w - 10. Let x be a(5). Suppose 2*t - 28 = t + x*z, 0 = -3*t + z + 56. Calculate the lowest common multiple of 6 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 111*f**2 - 24*f - 118. Is w(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-10) - (-154)\/970. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**2\/2 + 981*w. Let y(l) = 3*l + 2. Give -3*m(u) - y(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*-1*5*-1. Suppose -i = i + 5*j + 6, 0 = -i - 3*j - 4. Let c be ((-23)\/(-23))\/(i\/(-6)). Put -2, c, x in ascending order.\nAnswer: x, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -6. Let p = -2 - s. Let g(q) = 4*q - 1. Let c(x) = -9*x + 3. Let j(v) = 3*c(v) + 7*g(v). Let z(y) = 2*y + 4. What is p*z(u) + 5*j(u)?\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*k - 22. Suppose -k*x = -4*x, 3*y = -5*x + 6. Suppose -y*p = s - 532, 404 = p + 4*s + 145. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2361 = -3*q - 0*q. Suppose 257 = -2*y + 3*y + 3*g, -3*y - 5*g + q = 0. Suppose 66 = -f + y. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/3 + 809*v**3 + 1466500*v**2\/3 - 2461184*v + 5914624\/3 = 0. What is v?\nAnswer: -1216, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is c26 (base 14) in base 6?\nAnswer: 15014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09855 rounded to 3 dps?\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + o + 20413 = 0, 0 = 2*b + 2*o - 791 - 12807. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*h = 35. Let i be (-20)\/h*(-3)\/(-12). Let n be 2 + i + 18\/9. Put 2, n, 4 in decreasing order.\nAnswer: 4, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 + (-29)\/69. Let x(k) = -274*k + 3838. Let h be x(14). What is the second smallest value in h, v, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.1 (b) 5 (c) 11 (d) 0.049 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, x: 14}. Give prob of picking 3 s.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15592 is divided by 3842?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-4 - -4 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 3062354*s + 18374052.\nAnswer: 2*(s + 6)*(s + 1531171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 3}. What is prob of sequence aa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myurrrurmyyryuyr. What is prob of sequence mr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 16*l - 1. Give k(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07849165 + -2582371?\nAnswer: -2582370.92150835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**3\/3 - 3. Let z(j) = -1312*j - 9. Let t(o) = 293*o + 2. Let y(x) = 9*t(x) + 2*z(x). Calculate u(y(w)).\nAnswer: 169*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*h**3\/3 - 4468*h**2\/3 - 454111*h\/3 - 82418\/3.\nAnswer: -(h + 203)**2*(11*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2)\/f)**(-38))**(-9\/8) assuming f is positive.\nAnswer: f**(-513\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4232533030?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 152*i*l**2*s - 2*i*l*s**2 + 7*i*s**2 - s**2 - 1 wrt l.\nAnswer: 304*i*l*s - 2*i*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2116*l**3*w**3*y + 2*l**3*w**2*y*z + 3203*l**3*w**2*z + 8*l*w**3*y*z - l*w**2 wrt w?\nAnswer: -12696*l**3*y + 48*l*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.5, -1, -11, -77?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((-492)\/(-18) - 17)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -996 in 8, -2, 1\/4, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41757.36cm to nanometers.\nAnswer: 417573600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -1892355, 2, -2, 4, -1.\nAnswer: -1892355, -2, -1, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 26*n - 23 + 2*n - 8*n. Let s be -17*2\/(6\/(-3)). Let c(o) = -7*o + 8. Give s*c(b) + 6*u(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**5 - 18*v**5 - 26*v**5 + (-v**3 - v**3 + 3*v**3)*(-1 + 2*v**2 + 1) + (-v**2 - 2*v**2 + 4*v**2)*(2*v**3 + 0*v**3 - v**3).\nAnswer: -37*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1*(-2)\/(-1))\/(-1 + -1). What is the closest to -1\/2 in p, 1\/2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 = -3*p - 1, -4 = p - 5*q. Let n = -6 + 12. Suppose -n = -g + p. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 61. Let l(v) = -v**2 - 9*v + 6. What is l(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54707.\nAnswer: 227, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i + 100 = 0. Let j be 3\/(-4) - 46305\/i. Let d be j\/(-156) - 4\/(-26). Solve 4*c - 12 = -2*t, 0*t - d = -5*c + 5*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3*2\/(-12))\/(13\/36036). Suppose 0*p = -22*p + f. Solve -p*u + 65*u = -10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 0*l**3 - 5*l**2 - 5\/24*l**4 - 9*l + 0. Let p(u) be the first derivative of y(u). Let m(z) = -3*z**2. Give p(m(i)).\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**2 - 15*p + 16. Is 17 a factor of k(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrhrnhnhhhnhnrrrh. Give prob of sequence nhrn.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/950322 and -151\/12.\nAnswer: 1900644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (43 + -38)*((-39)\/(-21) + -2)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 250.87 + -252. Let h = 0 - -1. Let p = h + a. What is p rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(-4 + (sqrt(448) + 1)*1)*5 + -5).\nAnswer: -255 + 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7152382?\nAnswer: 2, 31, 115361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - m = -9, -n + 3*n + m - 7 = 0. Let l be 3\/(381\/(-256)) - (72 - 74). Is l greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-8))\/(3\/(-12)). Let j be 1680\/20*(-22)\/8. Let h = 236 + j. Solve 0 = -2*x - k + h, 0 = x + 2*x + k - v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*c**2 - 4 + 2*c**3 + 72*c**2 + (c**2 - 4*c**2 + 4*c**2)*(-4 - 2*c + 4) + 49*c**2 + 8*c**3 - 49*c**2.\nAnswer: 8*c**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 + -2235?\nAnswer: -2235.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j**2 + 2*j - 1. Let b(g) = -9*g**2 - 2*g + 1. Let x = 45 - 39. Calculate x*b(k) + 7*l(k).\nAnswer: 2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuddtdu. What is prob of sequence wuu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*((sqrt(117) + 4*(sqrt(117) + -1) - sqrt(117)) + -2 - (-4 + (sqrt(117) - (sqrt(117) - (sqrt(117) + 3))) + 0)))**2.\nAnswer: -720*sqrt(13) + 8624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*b - 14360, -4*b + 7028 = -3*w - 7335. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -71 or -2.65622?\nAnswer: -2.65622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47 and 0.21.\nAnswer: -9.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 741444980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7 - 8*m - 2*m + m. Let b(a) = 4*a - 4. Let g(h) = -5*b(h) - 2*s(h). Let y(j) = 2*j - 7. Give 5*g(f) + 4*y(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -171\/5 and 0.028 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 9. Is s(-6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/2)\/(3\/8). Let u(i) = i - 8 + m. Let g(f) = -31*f + 15. Let t(h) = 15*h - 6. Let o(n) = -2*g(n) - 5*t(n). Give o(u(v)).\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -29888*u + 811. What is the tens digit of c(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 24*n - 773. Let h be b(32). Sort -2198, -1, h in decreasing order.\nAnswer: -1, h, -2198","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-3 + ((-1926)\/(-396) - 9\/(-6)))\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 99, -5, -16456?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -10*c**3 + c**2 + 89*c + 87. Give t(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c - 5*m + 30 = 0, -c = -2*m. What is the third derivative of 4*a**c - a**4 + 2*a**4 - 8*a**2 wrt a?\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 127 = -3*n. Suppose 308*s + 54884 - 259624 = -272*s. Calculate the remainder when s is divided by n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 56.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26435 - -26435.3. Sort -2\/75, 2, -1\/5, o, 0.2 in increasing order.\nAnswer: -1\/5, -2\/75, 0.2, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*i*p**2*t - 53*i*p**2 + 30*p**3*t + 2*p**3 with respect to t.\nAnswer: -7*i*p**2 + 30*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*((sqrt(2176) - (sqrt(2176)*4 - sqrt(2176))) + sqrt(2176))\/(sqrt(128) + sqrt(128)*-3 - sqrt(128)))**2.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/7)\/s**1)\/(s\/(s\/((s*s**(1\/2))\/s*s))*s**(2\/5)))**(5\/3) assuming s is positive.\nAnswer: s**(-173\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l + 14. Let g be y(-3). Solve -k = 2*k + g*w + 1, -3*k - 3*w - 3 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5130288*f*z - 2939283*z wrt f.\nAnswer: 5130288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s + 5. Let g be n(1). Let d = -2 + 2. Let v be 3 + d\/(-3) + -2. What is the nearest to -1\/2 in g, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t + 3. Suppose 81*w = 80*w - 5. Let d(g) be the second derivative of -g**3\/3 - g**2 + 11*g. Give w*d(a) - 3*h(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65\/46 + -2\/23. Which is the second smallest value? (a) k (b) -1 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 45 = 5*b + 385, 2*b + 2*h + 172 = 0. Let m = 201 + b. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 315 - 953\/3. Let b = -33.218 - -0.018. Let q = -33 - b. Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 376 divided by 1.\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -488425 by -2791.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzdjogn. What is prob of sequence zod?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**3 - 205*d**2 - 4*d - 8. Let l(q) = 10*q**3 + 411*q**2 + 9*q + 18. Determine -7*i(g) - 3*l(g).\nAnswer: -2*g**3 + 202*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + i**2 + 7*i + 20. What is h(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276.8428 years to centuries.\nAnswer: 2.768428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2798, 3564, 4840, 6626, 8922?\n\"Answer: 255*v**2 + v + 2542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 27*r + 32. Suppose 18 = -g - 5*i, -i - 3*i = 4. What is the units digit of f(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1258, -1312, -1366, -1420?\n\"Answer: -54*g - 1204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 + 0.3. Let x = q - 1.3. What is the second biggest value in x, -2, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5490 or -0.133132?\nAnswer: -5490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (40*f - 183*f + 93*f)*(-2 + 2 - 1 + 2) in the form n*f + c and give n.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 21, 20, 19, 18, 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 0.3, -4\/17, 5, -3\/7.\nAnswer: -3\/7, -4\/17, -2\/17, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 14*w - 11. Calculate the least common multiple of i(11) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 k, and 1 a when three letters picked without replacement from {o: 1, y: 2, k: 2, a: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*w - 252 + 135 + 1997 + 2756*w + 347 wrt w.\nAnswer: 2709","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-16)*((-47)\/5)\/(((-15)\/(-10))\/(-3))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1074, 4502, 10232, 18264?\nAnswer: 28598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60582588*s**3 - 42329*s**2 + s - 131?\nAnswer: 363495528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368891 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrw when three letters picked without replacement from {w: 2, r: 2, j: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 1, 61, 3\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -131501*c**3 - 3*c**2 + 38512*c?\nAnswer: -789006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11319*q - 11141*q + 2848 = 0 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*-27)\/((-12)\/16). Let m(y) = -8*y**3 + 3*y + 1. Let r be m(-3). Suppose -4*g + r - b = 0. Round g to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -144373*u**2 + 72244*u**2 + u**3 + 72214*u**2 as a*u**3 + s*u**2 + b + i*u and give s.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 96199 less than 96198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 972*z + 66266. Determine t(-68).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 726, -0.2, -225?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039435389 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 3 - (-8 - (-25)\/10).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/((-448)\/(-154))*(-1 + 3). Let i be (5\/(-2))\/5*-2. Let w(z) = z - 2 + z - 5*z - i. Let s(t) = -16*t - 16. What is y*w(p) - 2*s(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 + 136. Solve w - 49 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 579\/56 - 68\/7. Let c = z + 1\/24. Let g be -1 - (0 - 2 - 1). Which is smaller: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - i**2 - 2*i - 2. Let o be ((-13)\/(-2))\/(2\/(-4)). What is the smallest common multiple of (-14 - o) + 1*11 and v(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -94122 and 2.\nAnswer: -188244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 25. Does 7 divide -3 + 13 + h\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(637)*3)**2.\nAnswer: -22932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*b - 3)*(0 + 0 + 2*b**2) + (2 + 3 - 2)*(15*b**3 - 6*b**3 + b**3) + b**2 + b**3 - b**2 to the form v*b + c*b**3 + i + a*b**2 and give c.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2 + sqrt(605) - (sqrt(605) + sqrt(605) + sqrt(605) + sqrt(605) + 1 + -1 + sqrt(605))) + -3*(-2*sqrt(605) + 2) + 0)**2.\nAnswer: -264*sqrt(5) + 2456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 140.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 5*j**3 - 160*j**2 + 1705*j - 6050 = 0?\nAnswer: 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -497 - -510. Suppose -a*n = 2*n - 1920. What is the highest common divisor of n and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -881 - -880.9. Which is the closest to r? (a) -2\/55 (b) -2\/11 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/2 + 30719*v\/4 + 28149\/2.\nAnswer: (v + 5118)*(6*v + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2)\/(5\/(-70)). Solve -4*y + x*y - 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/1766690 and 87\/43090.\nAnswer: 1766690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/((-4)\/18). Let s(c) = 4 + c**2 - c**2 - 2*c**2 + c**i. Let a be s(3). Calculate the greatest common divisor of a and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + (-30)\/(-40)*8 + 7 + -9?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1454*i - 1459*i + 7274*i - 1451*i - 1449*i - 1442*i.\nAnswer: 19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -17 + 20*q - 15 + 32. Let f(m) = -2*m**2. Calculate x(f(o)).\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10817\/3 + -3651. Let m = x + 5026\/111. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4368\/(-396) + 11)\/((-303)\/(-5454))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0*m)**17)**(-1\/69) assuming m is positive.\nAnswer: m**(-17\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-5) - (-2)\/5. Suppose 0*p = 4*p + 696. Calculate the common denominator of 1\/t*p\/24 and 29\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1710.27 - 1720. Let x = 9.93 + h. Which is the closest to -0.1? (a) x (b) -2\/7 (c) 0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/3)\/(4\/(-24))*(-10241)\/1078.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u, -4*u - 4 = -105*m + 109*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (1*sqrt(110)*1 - sqrt(110)))\/(1*(sqrt(10) + sqrt(90) + sqrt(10)))*-3 + 1)**2 + 1 + 2.\nAnswer: -6*sqrt(11)\/5 + 199\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52532 and 155716268?\nAnswer: 2284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -a, 3*g - 195*a + 391*a - 202*a = -30 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g = -19 - 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/7)\/((-650)\/(-2275))*(-6)\/9\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 78\/24 + 9\/12. Solve -3*u + w*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -2b?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 55571.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by -40\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 6*i**2 + i + 6. Suppose -6 = j - 0*j. Let h be y(j). Is 13 a factor of (-2 + 39 - h)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2151041 is divided by 3787?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w - 9. Let k = w - -16. Suppose -5*c + 33 = -5*u - k, c - 3*u - 16 = 0. Solve 8*n = c*n - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-49) + (0 - 185\/(-35)). Put 1, -1\/6, -20, z, 2 in ascending order.\nAnswer: -20, -1\/6, 1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 + 2*y**4 - 1 + 0 + (-3*y**3 + y**3 + 3*y**3)*(y + 0*y + y) - 3*y**4 + 2*y**4 + 4*y**4)*(-282 - 186*y + 282).\nAnswer: -1116*y**5 + 186*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160915 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - v. Let b(a) = -34*a**2 + 8*a. Give -3*b(q) - 24*y(q).\nAnswer: 126*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/9*(-1)\/((-6)\/(-495)). Suppose 5*b = 20 + k. Suppose 3*t - 12 + 3 = 0. Solve -t*n = -0*n + b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*q = -2, 0*q + 2*q + 32 = 5*a. Put a, -5, 9, 1 in descending order.\nAnswer: 9, a, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93570854 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1473 - -0.15367. Round z to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/145960 and 54\/18245?\nAnswer: 145960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.4 + 10. What is the nearest to -0.1 in 4, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 0*s**2 + 3*s**2)*(105*s**2 - 105*s**2 + s**3 - 66).\nAnswer: 2*s**5 - 132*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmm when three letters picked without replacement from {g: 1, m: 4, b: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 2. Let l = 712882 + -712875. Sort f, -0.3, l, -2 in descending order.\nAnswer: l, f, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -34. Let h = 27.3 + t. What is the third biggest value in h, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/1740 and 47\/58?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*s + 93*s - 366*s + 80*s + 87*s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.99 + -5.6. What is r rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226, 213, 174, 97, -30, -219?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*v + 2437 = -156*v - 16*v - 1283 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 28 = -8, 3*k + 4*j - 413 = 0. Calculate the remainder when k is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 196843, 393695, 590551, 787411, 984275, 1181143, 1378015?\n\"Answer: 2*q**2 + 196846*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 27 + 35 = 2*a, 4*a - 19 = c. Let o = c + 67. Solve 0 = 3*z + t + 12, 0*t = 4*z - 4*t + o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntwayav. What is prob of sequence wv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 7. Suppose 0*o - s = -2*o. Let k(i) = 5*i**2 + 0*i - 5*i**o - 3*i + i**2 - 2. Give k(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 222, -3\/8, 0.1, 3 in increasing order.\nAnswer: -3\/8, 0.1, 3, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000202806021 rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 6*m + 9. Let s be v(-7). Let g be 16\/88 - 4321\/(-11). Suppose f - g = -s*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 1:52 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011111101011000011 - 1100110?\nAnswer: 100011111101001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14420 and 10094?\nAnswer: 100940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/2)*q\/(q**5\/q))\/(q**2\/(q\/(q**3*q)))*(q**(-1\/2)*q**(-3\/4))**(-29) assuming q is positive.\nAnswer: q**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 11*s - 8. Let k be p(10). Calculate the lowest common multiple of 2 and 102\/k - (2 - 2).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -101*f. Let u(m) = 18*m + 8*m - 45*m + 16*m. Determine u(k(j)).\nAnswer: 303*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1186438?\nAnswer: 1\/593219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15 + (-630)\/40 - (-33)\/12. Solve b + 5*f = -22, 4*f = p*b - 4*b - 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-944)\/(-12))\/(-2) + -4. Let t(f) = 25*f - 7. Let c be t(2). Let k = a + c. What is the second smallest value in 1, -8, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7425 + -7424.1. What is the nearest to -1\/4 in y, 2\/11, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oow when three letters picked without replacement from gwgzwzoowzkk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57055 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 6 - 25*i**2 + 0.\nAnswer: -25*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1191 + 1191. Is s < 342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20861*t**3 - 9958*t**3 - 9594*t**3.\nAnswer: 1309*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8429 - 2195 - 2082 - 2078 - 2074 - 2*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27641 and 11544?\nAnswer: 319087704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(3\/(-3)))\/1. Factor 0*n**2 + 8\/3*n - 2*n**3 - 2\/3*n**4 + b.\nAnswer: -2*n*(n - 1)*(n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2697, -2688, -2619, -2490, -2301, -2052, -1743?\n\"Answer: 30*w**2 - 81*w - 2646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 + 202 = 3*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416*j + 837*j - 419*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 - 8*n. Let c(h) be the second derivative of h**3\/6 + 6*h. Give 8*c(k) + u(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24320557 to the nearest integer?\nAnswer: 4932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*z + z. Suppose z*m - 6*m + 172 = 0. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 328491 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 - 102*y - 339. Let h(v) = 4*v**2 - 101*v - 396. Give 6*h(o) - 7*x(o).\nAnswer: -4*o**2 + 108*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(2448) - (sqrt(2448)*1 + -5) - sqrt(2448))*3)**2 + -3 + -5*(sqrt(2448) + 1 + sqrt(2448))**2 + 2.\nAnswer: -26610 - 1536*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 13 = 47. Suppose 0 = -d*u + 13*u. What are the prime factors of 79 + (-9)\/(-3) + u?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -216924a (base 13) to base 8.\nAnswer: -46762002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 - -102.016. Let b = -0.51 - x. Round b to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 2*w**3\/3 + 2*w. Let t(l) = -l - 3. Let o(j) = j + 0*j + 1 + 1. Let m(p) = 3*o(p) + 2*t(p). Calculate m(v(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21 - 25)*(-1)\/(-4)*-31. What is the remainder when x\/(-3)*168\/(-28) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -i - 2*p, -i - 6 - 7 = -3*p. Let a = -1 + i. Sort a, 5, -4 in decreasing order.\nAnswer: 5, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + p = -0*p - 321, 4*c - 3*p - 331 = 0. Let r = c + 123. What are the prime factors of r?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.06 (b) 5 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33, -98, -169, -252, -353?\n\"Answer: -p**3 + 3*p**2 - 67*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6065 + 7309. Calculate the lowest common multiple of x and 311.\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1815 is divided by 555.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 1:16 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4919050 and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592196 is divided by 282?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**2*v + 2*j**2 + 151*j*w + v*w + 30*v + w wrt v.\nAnswer: -2*j**2 + w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 37. Solve 0 = 4*t + 7 - l, 4*x + 5*t = 33 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) + (-21)\/4. Let h(v) = v**2 - v - 7. Let m be h(4). Let i = 6 - m. What is the closest to i in u, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 35066377?\nAnswer: -35066402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664457943?\nAnswer: 3, 8069, 27449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 293663, 293661, 293659, 293657?\n\"Answer: -2*x + 293665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -495335, -495356, -495391, -495440, -495503, -495580?\n\"Answer: -7*j**2 - 495328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.7926 rounded to one decimal place?\nAnswer: -89.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i + 5*i - i + (-3 + 0 + 1)*(2*i + 0*i - 4*i) + 2*i + 0*i + 0*i - 2273 - 353*i + 700*i - 345*i.\nAnswer: 9*i - 2273","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 9*p + 45. Let k(v) = 4*v + 22. Calculate -9*k(a) + 4*u(a).\nAnswer: 4*a**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/((-84)\/(-9)) + -59)\/(3\/(-108)). What is the highest common divisor of 253 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 29 - 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**3 + 4*u**2 + 5*u - 6. Suppose 14 + 0 = 2*m. Let n(a) = 6*a + 5*a**2 - 6*a**3 + a + a - 2*a - m. Determine 5*j(o) - 4*n(o).\nAnswer: -o**3 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 5*s - 63, -4*q + 40 = -2025178*s + 2025181*s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**4\/4 - 3*s**3 + 9*s**2 + 113*s. Let m(r) = r - 1. Let z(q) = l(q) + 18*m(q). Let o(y) = -49*y**2. Determine o(z(c)).\nAnswer: -441*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*h + 59*h + 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -8.4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-20)\/(-45))*(1296\/(-64))\/(-27).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 376, 6, -5 in descending order.\nAnswer: 376, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 33?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/28 and (13195\/(-490) - (-3)\/7)\/(-8).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - g - 23 + 3*g + 31. Give a(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, q: 6}. What is prob of sequence qqd?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 4*m**2 - 6*m + 4. Let s(o) = o**2 - o + 1. Let t(x) = i(x) - 5*s(x). Let w be t(-1). Is w at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 1. Let y(k) = 3*k - 265. What is -4*p(b) - y(b)?\nAnswer: b + 261","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*d + 47*d - 211. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148321349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9438140.5 to the nearest 100000.\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 2280?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 6862?\nAnswer: 2744.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-13)\/i*i**14\/i*i*i**(2\/43)\/i**(3\/4) assuming i is positive.\nAnswer: i**(-121\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -14*g + 60. Let m(p) = -g*p + p + p - 7. Is 10 a factor of m(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17167.4734 to the nearest 100.\nAnswer: -17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/373 and -97\/6.\nAnswer: 2238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*o + 11 = -104*o - f, 0 = -4*o - 5*f + 29 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -608.\nAnswer: -607.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v. Let l(i) = 3*i**2 - 5*i - 5. Let y(f) = 5*f**2 - 7*f - 7. Let h(w) = -7*l(w) + 5*y(w). Determine p(h(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*j = 415, 2*v - 3*j + 6*j - 166 = 0. List the prime factors of v.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 212184 + -42436683\/200. Calculate the common denominator of d and 11\/2.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4 + 2*w**3 - 37*w**2 - 158*w - 168 = 0.\nAnswer: -4, -3, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(-10)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4339875 and 84135.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99 - -1815. What is the smallest common multiple of 12 and x?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 95.6402mg?\nAnswer: 0.0000956402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19278653257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9727, 19452, 29177, 38902, 48627?\nAnswer: 58352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwuwuwwuu. Give prob of sequence www.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 468 - 304217?\nAnswer: -303638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u - 5 + 5)*(-1 + 2 + 3) + (-u - 3*u + 2*u)*((-14 + 28 + 19)*(-2 - 3 + 3) - 2 + 0 + 0) + (0 - 2 + 1)*(0 - u + 0).\nAnswer: 117*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h**3 - 12*h**2 - 28*h + 203. Is d(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d - 16*d + 26*d - 10*d - 7*d + 34. Determine b(15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 3222\nAnswer: 16110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuyyuggyuu. What is prob of picking 2 g?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 360781*m + 10 - 8 - 583152*m.\nAnswer: 2*m**2 - 943933*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 4. Let c be p(3). Let u be (-2)\/(3\/12*c). Let y(i) = -i + 124 + 127 - 251. Determine y(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -898, -957, -1030, -1111, -1194, -1273, -1342, -1395?\n\"Answer: f**3 - 13*f**2 - 27*f - 859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.27411 + 0.255. Let s = v + 0.02. What is s rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 (base 13) in base 5?\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5090 + 5107. Solve 0 = 3*n - 4*p - y, -p + 13 = 9*n - 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**5 + 55592*s**4 - 278072*s**3 - 166656*s**2 + 2502324*s - 3003048 = 0?\nAnswer: -13903, -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 - 75. Suppose -u*p = 4*y + 90, -3*y + 133 = -8*y + 4*p. Which is greater: -22 or y?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/44*3\/7\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -1\/6*q**3 + 11*q**2 + 0 + 5\/4*q**4 + 0*q. Is 34 a factor of w(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1239 (base 16) to base 13\nAnswer: 217b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)*n)\/n)**(-14)*(n**(1\/3))**(-2\/47)*n**4\/(n**(-2\/7)\/n)*n*n**(-1\/2)*n*n**(-1\/3)\/n assuming n is positive.\nAnswer: n**(66007\/1974)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -119312, -238643, -357992, -477359?\n\"Answer: -9*x**2 - 119304*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**3 - 17965*k**2 - 16092055*k + 80910025 = 0 for k.\nAnswer: -1799, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.3, 3\/5, -0.1 in increasing order.\nAnswer: -0.3, -0.1, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 19*z**3 + 11*z. Suppose 2 = 5*j - 58. Suppose 4*q - 208 = -j*q. Let h(t) = -9*t**3 - 5*t. Let u = -7 - -13. What is q*h(l) + u*y(l)?\nAnswer: -3*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 11*z**2 - 9*z - 32. Let w be c(12). What are the prime factors of w\/6 - 114415\/(-147)?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50985711 divided by 3.\nAnswer: -16995237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (398\/14 - 13) - 14\/(-1)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -14*q. Let i(y) be the second derivative of -y**6\/360 + y**3\/6 - 21*y**2 + 11*y. Let a(w) be the second derivative of i(w). Give d(a(k)).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24256580 or -24256586?\nAnswer: -24256580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by -1783572?\nAnswer: -19\/445893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1077985591002708067 + -1077985577671979732.99999933. Let b = k + -13330728254. Let d = b - 80. What is d rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -191, -192, -193, -194?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*75357307\nAnswer: -22607192.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 16 + (-16 - (12 - 21))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -112, -223, -336, -451, -568?\n\"Answer: -g**2 - 108*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 682 = -m - 675, -m - 9*r + r + 12 = -2*r for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*y = -r + 53, 0 = -2*y - 4. Let b be 6\/r - (-266)\/116. Let q = b - -6\/29. What is the common denominator of -103\/20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v + 20 = c, 4*v - 8 = 2*c. Let a be (-11 - -10)*(-2)\/(-76)*v. Sort a, -2\/5, 1\/5 in increasing order.\nAnswer: -2\/5, a, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - 3 + 3)*((1 - 1 + h**2)*(1 + 4 - 6)*(-6*h + 4*h - 2*h) - h**3 + h**3 + h**3) in the form r*h**4 + i + z*h**3 + o*h + a*h**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 21*c - 20. Let n be q(13). Let f be n\/2*13\/(325\/40). Let k = -10 - f. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12609?\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 13 - 12. Suppose 0 = 2*f - 4*y - 10, -6*y = -4*f - 3*y + 45. Let x be f\/4 + (-3)\/(2 - 14). Put m, 7, x in increasing order.\nAnswer: m, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14861322 = 42*z - 14862792 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4322030301 (base 5) in base 3?\nAnswer: -122021002010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 14 = -3*v + 3*o, 4*v - 5 = -3*o. Let j(i) = 4*i + 55. Suppose -4*s - 6*s = 130. Let c be j(s). Solve 0 = v*x - c*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 251764.873899 + -251765. Let f = -0.126 - o. Round f to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*sqrt(78)*-2)\/(-2*-1*sqrt(486)).\nAnswer: -5*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 292074169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**1*o*o**1\/o)**22*(o\/(((o**5\/o)\/o)\/o)*o*o**(2\/13))\/(o**(-1\/11)\/o**(1\/6)) assuming o is positive.\nAnswer: o**(19229\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 10 - 22. Suppose 2*m - 3 - 21 = 0. Suppose 5*y = 3*y + 2*c - 6, 4*c - m = y. Solve o - q*o = y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 563859145 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(125) - (sqrt(125)*-1 + 1 + sqrt(125))) + -4))**2 - (-1 + ((-1*2*sqrt(60) - sqrt(60)) + sqrt(60))\/(-1*sqrt(432) - sqrt(432) - sqrt(432))).\nAnswer: -11251*sqrt(5)\/9 + 3751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9982\/(-2852)*(-9)\/(-42).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = -2*o + 12*k + 35554, -2*o + 35557 = k. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306177 is divided by 326544.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2 + 1 + 2 + j. Let o be w(2). What is the first derivative of -2 + o*m**4 - m**4 + 1 wrt m?\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 988*r - 991*r = -12, -3*r + 10 = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 828 - 683. Which is the third smallest value? (a) 3 (b) j (c) -5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105087397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 77.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2398969 or -21590728\/9?\nAnswer: -21590728\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.518071mm in centimeters?\nAnswer: 0.7518071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.149 + -3.142602. What is q rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -85*r**4\/3 + r**3\/6 + 191*r**2\/2 - 653*r. Differentiate p(a) wrt a.\nAnswer: -680*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 82\/(18450\/(-135))*(-25)\/1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(1*-3 + 30\/9). Which is the closest to 0.3? (a) 0 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-7.6839.\nAnswer: -3.07356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - k + 9, -2*k + 1 = -5*y + 25. Calculate the lowest common multiple of y and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/(2\/(-8)). Let a = 2\/15 + 7\/15. Determine z, given that -6\/5 - a*z + 3\/5*z**i = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*y - 43*y - 30 + 111 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*h - 2*h. Let t = 81027\/10 - 8113. Calculate the common denominator of t and (h\/(-3))\/(20\/10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11695141 is divided by 716.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31 - 10?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + -2.06. Let m = 2.5 + v. Let g = -0.18 - -0.58. What is the second biggest value in -4, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 2 - 2)*(m + 2 - 2) - 79*m**2 + 60*m**2 + 134*m**2 as z*m**2 + x*m + g and give z.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 927 = -273. Let u = w + 400. What is the highest common factor of 100 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/25*150\/(-45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 127607558 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 9 + (0 - (-1 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = -25*h + 440. Solve 15*s - h*s - 20 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48758693 and 8299352?\nAnswer: 390069544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.4 + -10.82. Let m = i + -7.74. What is m rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p + 12. Let q(t) = 62 - 92 - t + 29. Calculate -k(x) - 4*q(x).\nAnswer: -x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o = 29*o + 28. Let m(y) = -3*y**2 - 7*y. Let x(u) = 2*u**2 + 6*u. What is o*m(p) - 5*x(p)?\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -34*c + 2603. Let d(a) = 8*a - 651. Give 9*d(m) + 2*w(m).\nAnswer: 4*m - 653","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*h - 1)*(-95*h - 4*h - 90*h).\nAnswer: 378*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.461 + -1.38. Let t = -0.081 + i. Is t at least as big as -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4870 * 3\nAnswer: -14610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -1\/4*f + 129\/2 + 1\/4*f**3 - 129\/2*f**2 = 0.\nAnswer: -1, 1, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-35)\/(-25) + -1)\/2. Let j(k) be the first derivative of 0*k**3 + n*k**5 - 2 + 0*k**4 + 0*k**2 - 2*k. What is the first derivative of j(p) wrt p?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 191990 to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722515 is divided by 103092.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15 and 905.\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 46 = 3*s - 0*g, 0 = -3*s + 5*g + 62. Calculate the common denominator of s and (46\/(-12))\/((-51)\/(-34)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/(7\/42). Suppose -2*r + 4*o = -12, -j*o = -5*o - 6. Let d be -4*(r - -1 - 0). What is d rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 9 = 2*n. Suppose -2*a + n*g = 17, 5*a = -5*g + g - 100. Let y = 9 - a. Solve 9*q - 4*q + y = 4*r, -5*r + 30 = -5*q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*w + 93*w = 137*w + 5673 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -327901 or -2295303\/7?\nAnswer: -2295303\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 514 to the nearest ten.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -193608 divided by -6\nAnswer: 32268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/(0 - -28))\/((-126672)\/453544) and -35\/24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w + 20 + 20 = 15*w for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from {i: 3, x: 3, o: 4, h: 3, z: 4}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -3*t**5\/4 - 7*t**3\/3 - 24*t. What is the second derivative of c(h) wrt h?\nAnswer: -90*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21748209 + -0.42\nAnswer: -0.63748209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2996252?\nAnswer: 2, 7, 15287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1515 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -26*u - 285. Let o(s) = -s**2 - 17*s + 56. Let q(l) = -l + 123. Calculate the remainder when q(0) is divided by o(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**5\/20 + c**4\/4 - 2*c**3\/3 + c**2 + 2*c. Let v be l(2). Is (v\/(-3))\/(2\/141) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/(-14838))\/((-2919)\/4170). Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owowwowwwwwwwowwoww. What is prob of picking 4 w?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 815 divide 151561199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b. Suppose -5*m = 5*q - 25, -8 = -2*m - 0*q - q. Let r(f) = -3 + 3 - 3 - f**2. Let l(h) = h**2 + 4. Let d(w) = m*l(w) + 4*r(w). What is d(i(p))?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -58015.9286618 from -4.\nAnswer: 58011.9286618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-7290)*-60*((-3 - 2) + 2)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2. Let r(y) = 5*y. Let g(f) = -f. Suppose w + 3*w + 16 = 0. Let o(d) = w*g(d) - r(d). What is o(c(t))?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbsabsasbqsssasbb. Give prob of picking 4 s.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 2. Suppose -2*r - r + 21 = 3*g, 21 = -2*r + 5*g. Suppose a - 3 = -r*u, -a + 3*u + u = -9. Calculate the smallest common multiple of a and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -345\/7 (c) -1\/4 (d) 0 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-34\/5)*u\/(u\/((u\/(u\/(u*u\/u**(1\/8)*u)))\/u)*u)*((u\/(((u*(u\/u**17*u)\/u)\/u)\/u))\/u)\/u assuming u is positive.\nAnswer: u**(947\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 5, 28, -2 in decreasing order.\nAnswer: 28, 5, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 99603434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -8533 and 1536.2.\nAnswer: -6996.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 6*h**5 + 31520*h**4 + 41417274*h**3 + 55177512*h**2 + 13791752*h = 0?\nAnswer: -2626, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1177 + -490. What is the units digit of (1\/(-1))\/((3 + -6)\/s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5*2)\/(-2) + 864\/32. What is the greatest common factor of 704 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**4 + 0*u**2 + 0*u**2 + (184*u**2 - 123*u**2 + 360*u**2)*(2*u**2 - u**2 + 0*u**2) to the form x*u**3 + y + m*u + p*u**2 + c*u**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1497 rounded to the nearest ten?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Suppose -3*u + 7*u + t = 0. Is 15 a factor of ((-4)\/(-8)*-34)\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 = -19*f - 27*f + 17*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29008922665 - -29008923004.99999851. Let c = x + -340. Round c to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114*s + 5*s**2 - 69287 + 69287)*((2*s - 5*s + s)*(4*s - 2*s - 3*s) + s**2 - 3*s**2 - s**2).\nAnswer: -5*s**4 + 114*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, -2.57, -0.6?\nAnswer: -2.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 631624909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88.94930402 + 90.220869. Let k = a - 1.4605682. Let t = -0.189 - k. What is t rounded to seven decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1426 - 1421. Which is the closest to 0.1? (a) 7 (b) -7 (c) 1 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 742.4?\nAnswer: -1484.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, p: 4}. Give prob of picking 1 p and 1 e.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39493 or -48502?\nAnswer: -48502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*a + 5818 = -408*a - 5726 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*t - 12, 0 = -j + t + 2*t - 4. Suppose -3*f - j*f = -10. What is the remainder when 9\/2 + 1\/2 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/100 of a centimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**2 + s**2 + s**2 + (4*s - 6*s + 3*s)*(5*s - 6*s + 16*s) to t + n*s + b*s**2 and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 666*x + 17. Is 10 a factor of z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - 3) + (-12)\/26)\/((-16450)\/455 + 36).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15992 divided by 8464.\nAnswer: -1999\/1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(2*1\/(-2)). Let l = k + 13. Let h = -4 + l. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 13*b + 8. Let l(q) = -4*q + 0*q + 0 - 4 + 1. Let i(o) = 8*l(o) + 3*z(o). Let g(c) = -2*c**2. Give g(i(n)).\nAnswer: -98*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.05 (c) 3186\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*1\/18)\/(31\/(-465)*-20)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*v**3 + 2*c*v**2 - 3*c*v - 2*c + 15*v**3 + 2923*v**2 - 125*v wrt v?\nAnswer: 6*c*v + 4*c + 90*v + 5846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 8*j**2 - 2*j + 6. Let g be i(-5). Let d = g + 34. Let n = -19 - d. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*6\/8*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11663 and 6180641.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 260*v + 16. Let o(d) = 67*d**2 + 1. Determine n(o(p)).\nAnswer: 17420*p**2 + 276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 17*i + 30. Let l be m(6). Let a(n) = 2*n**3 - n**2 + 1. Suppose 0 + 5 = 5*z. Let f be a(z). Solve l = f*o - 6 - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5727183 or 5727179?\nAnswer: 5727183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -4089?\nAnswer: 1\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 21 = 3*i - t, 3*t + 35 = 5*i. List the prime factors of (i - 3)\/(-2) - -34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 77 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eepepep. Give prob of picking 3 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + -0.8. Let k = 130.65 - 126.95. Which is the nearest to x? (a) 2\/9 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 135*f - 1 = -229. Do -783 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 17 = 2*g, 5*g - 10 = 4*g + o. Suppose b + 14*v = g*v + 10326, v = -3*b + 30908. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/4 - 19*i**3\/2 = 0. Calculate i.\nAnswer: 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28733942 is divided by 4702.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3681679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 5*a - 34, 4*b - a - 17 = 3*b. Calculate the remainder when 112 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 238 + -140. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 177 (b) 0.1459 (c) -3\/2 (d) 6 (e) 3 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05725 + -7.05725. Sort 4, m, 1, -1, -6 in descending order.\nAnswer: 4, 1, -1, -6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) 201359 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -646300*j + 1938915. Give y(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -902548 divided by 4.\nAnswer: -225637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 4 + 4)*(3 - 1 - 3)*(-5*j**2 + 3*j**2 + 4*j**2 + (-4*j - 3*j + 6*j)*(-j - 2*j + 2*j)).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 24, 650 + 1003 = 3*h - 5*n. What is the remainder when h is divided by 64?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(26)\/sqrt(2) - sqrt(13)) + sqrt(78)\/sqrt(216) - (-5*sqrt(468) - 1*sqrt(65)\/sqrt(5)))**2.\nAnswer: 345397\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-12)\/90).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*45\/((-900)\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -12. Solve 0 = r - 2*r - 4*b - z, -b - 19 = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**1)**1*(u\/(u*u**(7\/5)))\/((u\/((u**(-3\/2)\/u)\/u))\/u))\/(u**(-7)\/(((u**(2\/3)*u)\/u)\/u)*u\/(u\/(u**(2\/17)*u))*u\/u**0) assuming u is positive.\nAnswer: u**(841\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2*496\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 + 1274. Suppose -5*v + 5*x = -0*x - f, 2*v = 3*x + 477. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407 = 4*i - 1699. Calculate the greatest common factor of i and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1448 is divided by 461?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*2*sqrt(65) - sqrt(65)) + sqrt(65) + sqrt(65)*-2*-4)*1)\/(sqrt(30)\/((sqrt(126)\/sqrt(7))\/sqrt(3))*-3).\nAnswer: -16*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202009351?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjdjjjjjjjjjdjjjj. Give prob of picking 1 d and 2 j.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -3912161 in descending order.\nAnswer: 0, -5, -3912161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 y, and 2 f when four letters picked without replacement from fyfyyaayy.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-4 + 4) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -161 (base 7) to base 5\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -5 - 1\/2*f**2 + 0*f. Let b(x) = 2*x**2. Determine g(b(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -992, -2091, -3316, -4667, -6144, -7747, -9476?\n\"Answer: -63*l**2 - 910*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001206 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 1. Let k be s(-3). Let b be 2\/(-4) + (0 - k\/(-4)). Solve b = 3*h - 0*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01406 + 0.01224942. What is u rounded to 5 dps?\nAnswer: -0.00181","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*q = -13 + 41, 0 = q - 1. Let s be a\/4 - 1\/(422\/840). Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 c when four letters picked without replacement from {k: 3, c: 4, m: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4361.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 6 - 8) + -76 - -19.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.1. Let a = 41\/2 - 22. Let w be (2\/(-3))\/(-3 - 55\/(-11)). What is the nearest to 1 in w, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.212 - 16.6. Let c = -0.611745 + n. Round c to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m**3 - 224*m**2 + 215*m + 12. What is i(27)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340 + 1489 - 2643 - 51*n + 1494.\nAnswer: -51*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b + 22*b + 5*o = -41, -5*o - 45 = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -18*f**3 + 276*f**2 - 104*f + 232. Determine c(15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {h: 3, o: 1, g: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27953 - -27955. Find c such that 2\/3*c**b + 0 + 4\/3*c = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - -5 - (6 - 3 - 4). Let q(s) = 22*s**3 - 13*s**2 + 13*s - 2. Let w be q(v). Let j be (-38 - -22)*-625*w. Round j to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 15402.1 (c) -0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93 - -101. Solve 4*v = -4*t + 32, -2*v + 0*v + y = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5, u + 2*u - o - 166 = 0. Suppose -3*y - 228 = -7*y - q, y = 5*q + u. Let v(m) = -y*m - 46*m + 110*m - 6 + m**2. What is v(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6*a - 7*a = 37, a = 4*y + 173. Let l be y\/(-63)*(7 + 2). Solve l*r - 4 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -445245860*-3\nAnswer: 1335737580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -3*i**2 + 25*i + 1126. Calculate p(12).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2612001 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - q**2 + 4*q + 6484827. Let m be p(0). Suppose -m + 1966827 = -9*j. What is j rounded to the nearest 10000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 168 = 6*q. What is the highest common factor of 210 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 16781.\nAnswer: -6\/16781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x + 5. Let r(i) = -6*i + 4. Let g(n) = -4*m(n) + 5*r(n). Suppose -3*a = -4 - 2. Let h(v) = 2*v**a + 3*v**2 - 4*v**2. Determine g(h(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6081 - -6081.1. Which is the nearest to v? (a) 0.05 (b) 15 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 6:42 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -144*z - 3191 - 1993 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 112790 and 1.35?\nAnswer: 112788.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 4. Let j be o(-3). Let u be 2*1 + 2\/j. Sort 2, u, -3 in decreasing order.\nAnswer: 2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 434 or 869\/2?\nAnswer: 434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 10:48 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*r**3*s + r**3*w + 2*r**3 + 17*r**2*s*w + 111*r*s - 3*r*w + 683*s*w - 3*s - 20 with respect to w.\nAnswer: r**3 + 17*r**2*s - 3*r + 683*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**2 - 45*j + 132. Suppose -2*d = 5*i - 46, 0 = -3*d - 2*i + 48 - 1. What is the remainder when x(3) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4365)\/(-194))\/(((-660)\/16)\/(-5))\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20936, -42109, -63282?\nAnswer: -84455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 228878628.6?\nAnswer: -228878622.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-42))\/((-1)\/7). Let j = 5 - l. Solve 4*b - 5*b = j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119052 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-9))\/((-47)\/1974*42\/12)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1860 by 310.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-2)\/(-4) + 1)\/(-6 + -6)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-213)\/142*4\/(-9).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**5 + 13*m**3*x - 74*m**2*x**2 - 9*m*x - x**2 + 11*x + 1 wrt m.\nAnswer: -20*m**3 + 78*m*x - 148*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 + 3*w - 7. What is c(-6)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21608127 to the power of 1\/2, to the nearest integer?\nAnswer: 4648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2001*u + 10822. Let x(o) = o**2. Calculate c(x(y)).\nAnswer: -2001*y**2 + 10822","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*h - 190*h - 197*h = 2*j - 576*h + 200, 7*h = 2*j + 464 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 2*t - 1. Let w(b) = 9*b**4 + 3*b**3 + b**2 + 2*b + 62. Let l(g) = p(g) + w(g). What is the first derivative of l(i) wrt i?\nAnswer: 36*i**3 + 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddfddddfddd. Give prob of picking 3 d and 1 f.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382043 is divided by 127289.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -76*q**7\/21 + 71*q**4\/6 + 29*q - 1. Find the third derivative of k(j) wrt j.\nAnswer: -9120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -2*n**2 + 3*n - 1\/12*n**4 - 3\/2*n**3 + 0. What are the prime factors of y(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 2*d - 2. Let u be t(4). Let v(f) be the second derivative of f**4\/12 - 2*f**3\/3 - 3*f. Determine v(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - 5*b**2 + 0*b**2)*(0*b + 5*b - 2*b)*((2*b - 4*b + 4*b)*(-2 + 0 + 0) + 2 - b - 2).\nAnswer: 60*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.7 - 6. Let x be (6\/45)\/(9\/30). Which is the closest to -0.1? (a) l (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15, 31, 35, 21, -17, -85, -189, -335?\n\"Answer: -l**3 + 23*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 17*l**2 - 15*l - 16. Let o be v(16). Let u be (o + 1)\/(5\/615). Suppose 4*i = m + u, 0 = 2*i - 0*i + 5*m - 67. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -10. Let n = 29.1 - q. Put 1, 0, n in descending order.\nAnswer: 1, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one fifths of a millennium?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 6:16 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -250*n**2 + 4159*n**3 + 1 - 4158*n**3 + 238*n**2 - 690*n**2 - 3 as r*n**2 + p + u*n**3 + q*n and give r.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1969928?\nAnswer: 2, 246241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + sqrt(7)*-3.\nAnswer: -10 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g**4\/5 + 760*g**3 + 39194*g**2\/5 + 1188*g = 0.\nAnswer: -135, -11, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 + 9195?\nAnswer: 9221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 22281*m. Let x(t) = -209*t**2. Calculate d(x(j)).\nAnswer: -4656729*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.83 * -463963.\nAnswer: 385089.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.5. Let z = 51 - 45. Let d be (1\/14)\/((-3)\/z). Which is the closest to 1? (a) h (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 701834303 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 447787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -97, 4, -346, 1, 3 in ascending order.\nAnswer: -346, -97, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6095.262 micrometers in kilometers?\nAnswer: 0.000006095262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b. Let f(p) = 3*p + p - 4*p + 10*p**2. Calculate g(f(u)).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -1 (b) 12 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvsvvssv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhrq when four letters picked without replacement from {h: 2, q: 6, r: 4, k: 1}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 7*d**2 + 12*d + 1. Let g = -18415 - -18420. Calculate h(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*z + 66. Suppose -3*g + 15 = 4*v, 2*v - 1 = 2*g - 11. Solve -t + f = -4*f + z, 5*f - 20 = v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1018*r**3 - r**2 - 3*r - 2. Calculate a(-1).\nAnswer: 1018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**3 - 3*m**3 - m**3 + 5*m**2 to g*m**3 + r + n*m + f*m**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**8\/1680 - q**7\/1050 - q**6\/120 - q**5\/100 - 15*q**2. Factor t(b).\nAnswer: b**2*(b - 3)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444687761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 9. Solve 2*u - i*q = -4, 0 = 6*q - 2*q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x**11)\/(x*x\/(x**(-2\/65)*x)) assuming x is positive.\nAnswer: x**(843\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19064\/21 + -908. Is h <= -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 32 = 2*w. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1449081 and 381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 763\/1255 - 2\/251. Let b be (-10)\/4*(-24)\/30. Let p be b\/7*77\/33. Sort p, 3, k.\nAnswer: k, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 383667 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 + 4 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 13. Calculate the remainder when d is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 - -135. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53840, 69551, 85262, 100973, 116684, 132395?\nAnswer: 148106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 13 + 7. Calculate the greatest common factor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70.831 + -0.169. Let g = o - -72. What is the closest to g in 0.5, 4, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7\/437 (b) 0 (c) 13.4 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -87 (b) -3.24 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 5*o**6\/6 + o**5 - 5*o**4\/4 - 5*o**3\/3 + 5. Determine a, given that l(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a - 28*a = i - 25744, 4*i - 102950 = 5*a. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**3 - l**3 - 2*l**3 + (13 + 6 + 3)*(-l**3 - 2*l**3 + 2*l**3) - 7*l**3 + 2*l**2 + 2*l**3 + l**3.\nAnswer: -24*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1780 divided by 2.\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(19) + 1 + sqrt(19)) + sqrt(76)\/(sqrt(40)\/sqrt(10)) + ((sqrt(209) + 4*sqrt(209)*1 + sqrt(209))\/(sqrt(99) - 1*sqrt(99) - sqrt(99)))**2.\nAnswer: 11*sqrt(19) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 9*z**2 - 4*z - 9. Let c be x(8). Suppose 0 = 19*a - c*a. Suppose -4*o + 8 = a, 0*g - 2*g - 2*o + 962 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(1\/25)\/(k**(1\/3))**(3\/7) assuming k is positive.\nAnswer: k**(-32\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*j - 16 + 3*j - 5*j - 2*j wrt j.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -20, 0 = -x - 8*x - 2*n + 26 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 5*g**3 + 0*g**3)*(-122 + 1089 + 52).\nAnswer: -3057*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 4*z + 15, 3*z - 6793*m + 11 = -6789*m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/23, 4915, 7\/6, 5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*((-33)\/12 - -3). Let p = s + 2. Calculate the remainder when 5 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4507 and -0.1?\nAnswer: 450.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k - 6. Let o(a) = 13*a - 11. Let c = 6 - 1. Suppose c*w + 26 = -4. Determine w*o(m) + 11*j(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2086 and 22\/103555.\nAnswer: 1449770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428235 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**5\/20 + 5*y**4\/12 + 2*y**2 - y + 7. Determine c(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108738 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2542611*o**2 + 522817?\nAnswer: 5085222*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/8 - 7*n\/2.\nAnswer: -n*(n + 28)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11d (base 15) in base 10?\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2719 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10.187247us?\nAnswer: 0.00000016978745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 49*m - 1267. Let s(n) = 6*n - 149. Let u(c) = 2*d(c) - 17*s(c). Suppose 4*y - 1 = 11. Calculate u(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -17, 1, 4, -1 in increasing order.\nAnswer: -17, -1, 1, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -26. Let j be (-21)\/6*((-30)\/(-21) - f). Let x = -449 + 451. What is the smallest value in x, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(96))*4)\/(sqrt(243)*-2) + (((sqrt(120) - sqrt(120)*-1)\/sqrt(5))\/(sqrt(48)\/sqrt(36)))**2.\nAnswer: -10*sqrt(2)\/9 + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekvm when four letters picked without replacement from wvwkmwkkewwv?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -s + 4*n - 11, -4*s + n = 22 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*d - 0*o + 115, -5*o + 65 = 2*d. Solve d*n = 42*n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 3 = -5*y. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 7*c**2 - 5*c + 8. Let a be m(-6). Let s = a + 1. Suppose s*v = 8 + 13. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3179\/6 greater than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 4401.\nAnswer: -8\/1467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j - x, 2*j + 14 = -4*x. Suppose h + 2 - 3 = 0. What is the least common multiple of h and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2 - 4952*v - 2934216 = 0. What is v?\nAnswer: -1494, -982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1278 divide 4391208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11f369 (base 16) in base 7?\nAnswer: -12666545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 + 3*h + 16. Let i be g(5). Let d = i - 27. Let r = 103 - d. Which is greater: -12\/25 or r?\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131 + 3. Suppose 5*x + 3*m = h, 0 = -x - 3*m + 15 + 19. Suppose x = -2*y + 101. Is 19 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -17. Solve 3*y - n = 8*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -3\/2, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 255, 876, 1911, 3360, 5223, 7500, 10191?\n\"Answer: 207*a**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 8:27 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46585 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(sqrt(80)*2 + -5)**2 + -3).\nAnswer: -8262 + 1920*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1576 - 301. Which is bigger: p or -1879?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-4) - 2\/(-8). Let x be 8*(-2)\/(-32)*4. Suppose 0 = -x*p - 2, -2*m + 3*p = -3*m. Solve q + 1 = -m*k, 3*q = -r*k - 3 - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = 4*s. Suppose -5*v + 4*v = -s. Suppose -v*j - 4*d + 9 = j, 3*j - 27 = 2*d. Calculate the greatest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.7 - -33.7. Which is the third biggest value? (a) 3\/2 (b) w (c) -0.6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.70727kg in tonnes?\nAnswer: 0.08970727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 1\/5, 5, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/6*(-14)\/84*99.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02011 + 0.02. Let c = d - 0. What is c rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1 = 2, -2*w + 2*u + 676 = 0. Suppose b - 8*i + 3*i - 101 = 0, w = 3*b + 2*i. Let x(g) = 108 - b - 5*g + 2*g**2 - g**2. What is x(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvwvvwrvncwcvr. What is prob of picking 1 r and 1 v?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = g - 15, -12*l + 4*g - 14 = -15*l. What is the nearest to 0.2 in l, -4, -5.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12774 - 0.2.\nAnswer: -12774.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008595998 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - 0.4. Let v = -0.93 - w. Let h = 385.3 + -385.7. Which is the second smallest value? (a) v (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003852 to 6 dps.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0038644698 rounded to 4 dps?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -151933, -607729, -1367389, -2430913, -3798301?\n\"Answer: -151932*z**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 500 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*n = -4, u + n - 12 = -2*u. Suppose -2*c - 2*p = -16, 0 = -5*c + p + 14 - 4. Let j be 2\/(3*-2)*c. Sort u, 7, j in decreasing order.\nAnswer: 7, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + s**2 - 2*s + 3. Let t be o(2). Let b = t + 6. Is 18 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -43*a**2 + 3 - 2 - 1 + 45*a**2. Let y(d) be the third derivative of -19*d**4\/12 + 4*d**2. Determine y(k(x)).\nAnswer: -76*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1205622402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -418.101065937 + -2632\nAnswer: -3050.101065937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 160*l + 136*l**2 - 28*l**3 + 7*l**4 + 7*l**4 + 7*l**4 - 25*l**4.\nAnswer: -4*l*(l - 4)*(l + 1)*(l + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + 38*n**2 + 39*n + 15. What is t(20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/9 bigger than 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.2 - 26. Let l = x - -3.69. What is the third smallest value in 0.1, -2\/19, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(8\/5)*g)\/(g*g**(2\/7)\/g)*(g**3)**(-1\/47) assuming g is positive.\nAnswer: g**(3702\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmgzdgmzzwz. What is prob of picking 1 g and 1 w?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -31535?\nAnswer: -31538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 4:48 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d**3 + 616*d**2 + 9*d - 788. Calculate the lowest common multiple of 8\/28 + (-458)\/(-14) and g(88).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.63, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 270\/315*2\/4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 5*h**2 + 5*h + 4. Let z = 10 + -14. Let k be q(z). Is k smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 283 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-3 - (-7 + 4 + (5 - (2 + 10))))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5a1564 (base 13) to base 11\nAnswer: -12357a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0, -0.69189?\nAnswer: -0.69189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 3*k + 23. Let p be i(0). Suppose -p*a = -25*a + 136. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 177 - 45. Let x be (2 + -1)\/((-4)\/b). Let w = -18 - x. What is the highest common factor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.88 - 2.62. What is g rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 5:32 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/10 - (-2628)\/10. Let m = j - 260. Suppose -z + 1 = -2*x, 5*z + x = -x + 5. Solve z = -m*a - 3*n + 5, a - 5*n = -22 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 17*i**2 - 2*i + 1. Let s be (-2)\/6*18\/(-6). Determine m(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1590 and 30?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 311541383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 5:13 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34499 + 34493. Let t(l) = -l**2 + 1. Let y(n) = 6*n**2 + 6*n + 4. Let c(x) = 5*t(x) + y(x). What is c(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - ((26 - -56) + 8)) + 19.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 748*w - 6408 - 58566 = 111*w for w.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + b**2 + b**2 + 385 - 771 + 387. What is p(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 626.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjgllggjgggjjl. What is prob of picking 3 l and 1 j?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, -2, 7, -40.\nAnswer: -40, -2, 0, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*n - 22, i + 2*n = -n. Suppose 2*q - 26 + i = 0. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 953779?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w - 2. Let r(x) = x. Let j(d) = 2*d - 3. Let z(a) = 2*j(a) - 18*r(a). Suppose -11 = -3*u + 4. Suppose 11 + 74 = u*q. Give q*l(s) - 6*z(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 7. Let s = p - 2. Suppose -4*h = -5*b + 2, -3*b - 5*h = -s - 10. Calculate the highest common factor of b and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-9*b**2 + 0*b**2 - b**2)*(2*b**3 - 2*b**3 - b**3).\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 391232 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 9*i + 71. What is b(-8)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10411 at least 10434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 359.\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -13811?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.22 (b) -3 (c) -2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -6 + (4 - -1) - -4 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 87*h + 90*h = -22, 10 = 2*u - h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*w**2 - 62*w**2 - 4*w**2 - 4*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13728 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -137 + 547. What are the prime factors of q?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - ((-34 - 48) + 81).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4238025\/28 - -151318. Let g = p + 159\/4. What is the smallest value in g, 28, -1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/2 - 3885*i**2\/2 - 631788*i - 1877922.\nAnswer: -3*(i + 3)*(i + 646)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**3 + 2*y**2 - 4*y + 3. Let p be c(1). Let g(f) = -5*f - 12. Let q be g(p). What is the closest to 1 in 5, q, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-77)\/(-7) - -1) + 14*-2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y - 65 = 217 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8)*(-30)\/6*(-17 - -21). Solve 2*i + 2 + 16 = -5*s, -3*s = -o*i - 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m - 11. Let h = -50 - -27. Let g = 27 + h. Let n be q(g). Sort -3, n, -4 in decreasing order.\nAnswer: n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7010750.\nAnswer: 2, 5, 29, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 176\/7 + -25. Which is the smallest value? (a) 3\/2 (b) -5\/3 (c) -34 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14384?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 52\/3243 in descending order.\nAnswer: 4, 3, 52\/3243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1118*z**2 + 1391*z**2 - 274*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -14*u. Let y(r) = -55*r - 75. Let i(b) = 1790*b + 2400. Let f(s) = 2*i(s) + 65*y(s). Calculate x(f(h)).\nAnswer: -70*h + 1050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66409*k**4 - k**3 + 1839469*k**2.\nAnswer: 1593816*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 12:56 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/2)\/((-1)\/(-6)). What is the third derivative of -2 + 0 - x*b**3 - b**2 + 2 wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2542 - 2541.7. Sort u, 0, -0.03.\nAnswer: -0.03, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 z when three letters picked without replacement from {u: 4, z: 2, a: 1, w: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-2 - 2) + 3 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 22 - 10 = 4*t, 5*p = -4*t - 112. Let q be p\/6*1*(-18)\/12. Solve -19*u = -24*u + q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 922343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-5)*(-18)\/75?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 + 2*m + 9. Let p be s(-4). What is the remainder when 50 is divided by 1095\/p - (-2)\/13?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -52. List the prime factors of (-3 + 52\/d)*-115.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 + 32476?\nAnswer: 32437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 + 22*h**3\/5 + 14*h**2\/5 + 2*h\/5.\nAnswer: 2*h*(h + 1)**2*(5*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, z: 2}. Give prob of picking 1 z and 3 t.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322 - 960 + 316 + 322 + 3*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) 5540534 (c) 12 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28963\/7 - 4113. Which is smaller: h or 25?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(27) - (sqrt(300) + -2 - sqrt(300))**2.\nAnswer: -4 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 90535.536 seconds?\nAnswer: 1.047865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/3144 and -97\/6.\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kksnnknnxshnnhnkhehn. What is prob of sequence nkhh?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13590 and 42.\nAnswer: 95130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {a: 3, l: 6, j: 1, w: 1, m: 1, r: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -168420*17.6\nAnswer: -2964192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181530.\nAnswer: 2, 5, 7, 16879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 136 = -4*n + 4*v, 3*n + 4*v - 83 = 0. Suppose n - 99 = -3*q. What is the greatest common factor of q and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**3 + m**3 + 2*m**3 + (-5 - 5 + 2)*(-2523*m + 2523*m - 63*m**3) in the form l*m**2 + h*m + y + d*m**3 and give d.\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -13*y**2 - 508*y - 332. Give g(-39).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 2:28 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -122.\nAnswer: 10\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -739.6 - -1047. Let p = t - 307. Is p <= -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*q - 2*r = 478, 2*q = -4*r + 948. What is the highest common divisor of 28 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 2062*f**4\/3 + 45*f**3\/2 - 27*f**2\/2 - 141*f + 1. Find the second derivative of n(x) wrt x.\nAnswer: 16496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4278377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 9. Let a be h(-8). Let g = -5 - a. What is the second smallest value in -5, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*y = 7*s - 18, 4*s - 14 = y. Factor -2*g**3 + g**2 - 17*g**s + 3*g**2 + 13*g**4 + 6*g - 4*g**3.\nAnswer: -2*g*(g - 1)*(g + 1)*(2*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2350 and -2.68?\nAnswer: 6298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-427496)\/6)\/((-20)\/15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (-8 + 0 + 0 + 6)) + 2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 14, p: 1, u: 1}. Give prob of sequence pue.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3.3 times 2507.1\nAnswer: 8273.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15832043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 + 2. Let y(u) = 2*u**2 + u + 3. Let l(g) = 3*j(g) - 4*y(g). Let q be l(6). Solve -3*c - 6 - q = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 - b + 3. Let y(f) = f**2 + f - 4. Let n(d) = 3*y(d) + 2*z(d). Let q(r) = 34*r + 2. Let i be q(1). Let k = i + -36. Determine n(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 11 - 26)*(4*t**2 - 18*t**2 + 3*t**2 + (0*t + 0*t + t)*(-2*t - 3*t + 2*t)).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8436.9431 rounded to the nearest integer?\nAnswer: -8437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6283*k**2 + 42148.\nAnswer: 12566*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r. Let a(y) = 2*y**2 - 3*y + 3. What is a(q) + 3*o(q)?\nAnswer: 2*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 43 = 4 - 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 635450203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100 - -11?\nAnswer: 1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17\/2? (a) 0.1 (b) -4 (c) 23 (d) 0.4 (e) -42.2 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uudr when four letters picked without replacement from {d: 2, u: 2, r: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*x**2 - 3*x**5 - 1 - 24*x**2 + (x - x**2 - x)*(-x**3 - 4*x + 4*x) + 4*x**5 - 3*x**5 + 3*x**5.\nAnswer: 2*x**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -13318*d. Let n(h) = 244585110*h. Determine 91826*b(j) + 5*n(j).\nAnswer: -13118*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 13*s**6\/120 + 257*s**5\/60 + 2*s**2 + 138. What is the third derivative of j(q) wrt q?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-544)\/340 - 1636\/(-10). Let u = k - 157. Solve r = -n, u*r = -n + r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 15 + 6 = 0. Let a(x) = 2*x - 13. Let w be a(6). Let k be (7 - (6 - (-1 + 5)))\/(-1). Put c, k, w, 1 in descending order.\nAnswer: c, 1, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338782781, 338782779, 338782777, 338782775?\nAnswer: 338782773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 13545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Let k be 15\/z*(-4)\/(-40). Suppose -5*q = -h + 22, -3*h + 3*q + 11 = -q. Which is the second biggest value? (a) 1 (b) h (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 400187 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, t: 4}. What is prob of picking 2 p and 2 t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 2495\nAnswer: -34\/2495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*p - 1935 = -90*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1359 + 16?\nAnswer: -1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 4. Let s = 246 - 250. Which is the nearest to 1? (a) s (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 3*m. Let l(b) be the first derivative of -2\/3*b**3 - 2*b + m*b**2 + 1. What is the first derivative of l(d) wrt d?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/257 and -85\/14?\nAnswer: 3598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -30121?\nAnswer: -30121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9579 + -1.8579. Which is the nearest to t? (a) -3 (b) 2\/23 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12048*m**2 - 4 + 4 - 12066*m**2.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03471 + 0.043033. Round u to 4 decimal places.\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9 + 7 - (-4329)\/1620 and -58\/165?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s + 78. Let q be w(15). Solve q*j - 2 = 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t + 32. Let y be d(-15). What is the second derivative of -11 + 9*x**y - 18*x + 11 wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2610229?\nAnswer: 43, 60703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {f: 1, d: 1, s: 1, i: 1, z: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0.8. Let x = 16 + -19. Let j be (60\/(-45))\/(14\/x). Which is the nearest to j? (a) l (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/4)\/(8\/(-4768)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s + 2\/5*s**3 - 18\/5*s**2 - 24\/5.\nAnswer: 2*(s - 6)*(s - 2)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -577 + 581. Suppose -5*p - 52 + 217 = -c*t, 3*p - 5*t = 112. Solve -33 + p = -4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 34, -1601, -4, 3, 4 in descending order.\nAnswer: 34, 4, 3, 1, -4, -1601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 211*u - 197*u + 56 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -195*l + 705. Give o(5).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 1\/6*i**4 + i + 0*i**3 - 1\/14*i**7 + 0*i**2 + 0 + 0*i**6 + 0*i**5. Find the third derivative of c(p) wrt p.\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -4. Suppose -k*i + 1 + 7 = 0. Solve -i*b + 15 = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 0, 0 = 5*d - 2*d + 4*l + 84. Let g be d\/42 + (-184)\/(-6). Solve -u + 2*y - 14 = 0, 2*u - 5*y + g = -3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*h**6 + 271*h**2 + 170283*h**5 - 170283*h**5 wrt h?\nAnswer: 2520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j**(21\/8)))**18\/(j\/j**(-4\/33))**1)**(2\/57) assuming j is positive.\nAnswer: j**(-211\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -39, 6, 5.\nAnswer: -39, -4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10317892 and -0.0084?\nAnswer: 10317892.0084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1771 * 1\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10458\/278880*2\/1*5\/(90\/(-6))?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48.58 + 336592440112.\nAnswer: 336592440063.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/8633 or 1?\nAnswer: -22\/8633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98\/560*5)\/(14\/168)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 1936\/7*g + 544 - 484\/7*g**3 - 936\/7*g**2 - 4\/7*g**4 = 0.\nAnswer: -119, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4 = 3*w, -4*h - w + 72 = 80 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -f - 36. Let u be ((18\/8)\/((-21)\/f))\/(-1). What is the greatest common divisor of 4 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12693\/253 - 489\/23. Which is greater: 28 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15481 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16, -0.05827, 5\/16, 1\/5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/6 + 5\/12. Let j = 8 + -21. Let f = j + 12.9. Which is the nearest to v? (a) -1 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -445330021?\nAnswer: 445330022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142.9 + -143. Which is the third biggest value? (a) 4\/17 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by -2753?\nAnswer: -51\/2753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 17*t**2 - 17*t + 24. Let o = -2 - 16. Let j be u(o). Solve -2*p = -8*p + j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1147392*h**6 - 2*h**2 - 95*h - 494?\nAnswer: 137687040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20107 = 5*i + 4*n - 61581, -5*i = -5*n - 81760. List the prime factors of i.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 464 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 1\/(-7))\/((-2)\/(-14)). Let p be (95 - 10\/2)\/(3\/4). Calculate the highest common factor of p and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 1310*w + 198373. Calculate l(-175).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzz when three letters picked without replacement from zzzzzzzzzzzzzxzzxzzz.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1 = 32. Let c = -6 + o. Suppose -5 = z + 2*j, 2*j = -405*z + 408*z - 17. Solve -c*h = 3*w - 37, -z*h = 2*h - 5*w - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 25) + 12 + 14 - 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 4 = s - 4*q, q = 4*s + 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1427?\nAnswer: -2\/1427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**2 + 0*j**2 + 4*j**2)*(7 - 6 + 5*j**2 + 3).\nAnswer: -10*j**4 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 5. Let w = m + -1. Let s(d) = -d**2 - 242*d - 1. Let p be s(0). Which is the nearest to 1? (a) -4 (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -316.67 + 330. Let b = y + 0.67. Let o = 11.8 - b. Round o to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -bb?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3353099772 rounded to 3 dps?\nAnswer: -0.335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1264)\/371932*(-44)\/(-8)?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -1\/10, 2\/27, -4, 0.07?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -4\/9 (c) 2\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-22)\/(-121) + 24\/(-11))\/2. Let y be k\/(-6) - 22\/(-12). Let l(a) = -a**3 + a**2 - 2*a. Determine l(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**8)**(-21) assuming u is positive.\nAnswer: u**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d + -2?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1648*g + 1607*g - 175 = 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*l - 0. Suppose -2*c = -l, 4*h - 7*c = -5*c + 2. Which is smaller: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -16, 3, -5, 29 in descending order.\nAnswer: 29, 15, 3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, -5, 0, -15, 6 in increasing order.\nAnswer: -15, -5, 0, 5, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**3 - 3*l**2 - 2*l - 2. Let z = -6 - -8. Suppose -5*v + 4*v + 4 = 0, -2*v = -z*a - 12. Does 9 divide x(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -81?\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 3223.869?\nAnswer: -3225.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2484.\nAnswer: 5\/2484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -106*h**3 - 20776*h**2 - 26*h - 5073. Calculate q(-196).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 3*o + 0*o)*(1 - 2 + 3 + 1 - 2 + 0 + 1 - 4 + 1 + (-5 + 1 + 2)*(5 - 2 - 1) + 1 - 2 - 1).\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - n**2 - 1. Let m be g(0). Let p = 0.08 + -0.02. Let r = 1.94 + p. Is r != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**3\/6 + u**2\/2 - 3*u. Let j(c) = 7. Let h(r) = 3*i(r) + j(r). What is the derivative of h(b) wrt b?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(1 - (-14)\/(-17)). Suppose 11 = 7*c - v. Solve 0 = -3*m + 3*x - c - 2, m + 2 = -2*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -55145467, 2 in decreasing order.\nAnswer: 5, 2, -55145467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3753 * 1.24.\nAnswer: 4653.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5764 + 31230 = 85*o - 19414. Calculate the highest common divisor of o and 726.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 7, g: 4}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.6 + -6. Let u = 0.8 - b. What is the closest to 2\/3 in -0.5, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635*d + 1 - 1.\nAnswer: 635*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 4\/1383987?\nAnswer: 4\/1383987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1344 is divided by 123.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.2 minus -0.046?\nAnswer: -10.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o + 2 + o**2 + 217*o**3 + 0*o**2 - 218*o**3 + 0. Let q be h(3). List the prime factors of (-7 + -1)*(105\/q + 1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 2321.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 17 = m. Suppose -2*w = -m*y + 84, 220 = y + 4*y + 5*w. Suppose 5*k - 182 = y. Round k to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -17*v - 1. Suppose 2*s + 5 = 1. Let c(m) = -m**3 - 2*m**2 + m - 2. Let y be c(s). Is q(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*g - 0*y + 28, -2*g + 36 = 3*y. Calculate the common denominator of g\/25 - 302\/20 and 41\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45310 (base 10) in base 2?\nAnswer: -1011000011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/675 + (-434)\/(-27). Suppose -35*d + f = -27*d. Solve -d = p - 0, -r - 4*p - 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 plus 0.1501?\nAnswer: 227.1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (185*(-22)\/660)\/(-1*2\/6)*-2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(121) - 1*sqrt(121)) - sqrt(121))\/((sqrt(132)*-1 - sqrt(132))\/sqrt(12))*3 + 0 + (2*sqrt(44)*2 - sqrt(44))\/((-2*sqrt(48))\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-9) - 0) + (-45)\/(-27).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 75*y - 79*y - 6*i, 0 = -y + 2*i - 4. Calculate the least common multiple of y and 453.\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31063.9 rounded to the nearest one thousand?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6869*j + 6874*j + 65 = -b - 13, 5*b = 2*j + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5724 + 3)\/3 - -2. Let y be 50\/(-2 + d\/954). Round y to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 3. Let l be 0\/(2\/10*(11 + -6)). Give u(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -882427, -1764702, -2646977, -3529252, -4411527, -5293802?\nAnswer: -6176077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108385*q**2 + 0*q - 36116*q**2 - 36129*q**2 - 36142*q**2 + 0*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*p + 79*p - 24 = 0. Let y(h) = -4*h + 7*h - p*h - 15 + 10 + 18*h**2. Let x(b) = -2*b. What is y(x(u))?\nAnswer: 72*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 1:42 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*x + 21. Suppose -x*y + 19 = 5. Let h be (-16)\/(-60) - (-2)\/5. Which is the second biggest value? (a) -0.5 (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l - 7. Let z be 2 + (1 - (-1 + -1)). Let i be w(z). Suppose i*f + 22 = s, -2 = 4*s + 3*f - 15. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**4\/3 - 22*t**3\/3 - 22*t**2 - 74*t\/3 - 28\/3 = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 + 45*x**3 - 9*x**2 - 141*x - 90.\nAnswer: 3*(x - 2)*(x + 1)**2*(x + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 446 and 53974.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1935*d - 35017. What is y(18)?\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14125962 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -15*a**2 + 2. Let y be l(-2). What is the smallest common multiple of y\/(-3) - (-14)\/21 and -6*(10\/(-4) - -2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 9693*a**2 + 164489*a + 55. Give b(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 18991?\nAnswer: 9495.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631 = 2*y + 643 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*b + 17042, -f + 0*b + 8521 = -4*b. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -83*z + 874. Let m be r(10). Solve -2*f - 2*q - 40 + m = 0, -2*f = q - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**3 + 199*s**2 - 31*s + 17. Let l(i) = 3*i**3 - 150*i**2 + 23*i - 13. Determine -13*l(g) - 10*z(g).\nAnswer: g**3 - 40*g**2 + 11*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:00 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 88. Let d be u(6). Let z = d - -84. Solve 5*q = z*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 10:46 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12358*s**2 + 6171*s**2 + 6181*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -723304 - -394200893\/545. Let s be -1 + -2 - (-1640)\/545. Let d = s + i. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4660375, 9320753, 13981133, 18641515, 23301899?\n\"Answer: q**2 + 4660375*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 5. Let w be m(-5). Suppose w = -0*g + 5*g + 20. Let v be 1\/g + 22\/56. Is v less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62018074 and 3910?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 + -70. Let j(z) = -z**3 - 5*z**2 + 11*z + 6. Calculate j(x).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/(3\/(-12)). Let q = -16 + -15. Let h = 31 + q. Solve f = t - h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 - 296*q**2 - 2752*q + 1096. Determine n(-138).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131 + 55 + 59 + j**2 to the form g + p*j + u*j**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(24) - (sqrt(96) - (sqrt(96)*-1 - sqrt(96))))\/(sqrt(8) + sqrt(8) + -1*sqrt(648) + sqrt(8) - sqrt(8)).\nAnswer: 5*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-260)\/(-35) - (6 + 1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73*a**3 - 99*a**2 - 11773*a wrt a?\nAnswer: 438*a - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**4\/20 - 2*h**3\/5 - 9*h**2\/10 - 23*h. Determine q, given that x(q) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 334 = 2*l, 2*l - 3*o - 32 - 294 = 0. Let s = l - 165. Solve 2*g = -4*j - 20, 5*g - 4*j = 10 - s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/17 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05 and -250.1.\nAnswer: -250.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 293.4054mg?\nAnswer: 0.0002934054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 1:05 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63540776537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 110671691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 24*t**2 + 25*t + 50. Let j be w(-23). Suppose 0*i - i = -j*n + 9, 0 = -3*i - 3. Solve 3 = -n*u + s - 2, -3*u = -3*s + 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 4, -2\/3, 1\/5, 2\/3, -10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**5 + 9828*h**4 - 390148*h**3 + 1111496*h**2 - 1091850*h + 360676 = 0?\nAnswer: 1, 37, 4874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 k when three letters picked without replacement from kkkbkkkbbk?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 + -249\/5. Let u be 5\/(10\/8)*-1. Let i = 2 - 1. Which is the second smallest value? (a) u (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*i - 25. Suppose l + 11 = 14. Solve 3*f = i*f + 4*n + 4, 0 = l*n + 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuucuuuuuuuuu. What is prob of picking 3 u?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29428 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, o: 3, h: 3, x: 3, m: 5}. What is prob of sequence on?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.667365ml to litres.\nAnswer: 0.007667365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 + 7*r**2 + 15*r + 25. Let w be b(-10). Let v = w - 2134. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/11638296 and 41\/107762?\nAnswer: 11638296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 33 = 3*h. Let p(i) = -3*i + 35. Let s be p(h). Let b be (-2)\/7 + 32\/14. What is the greatest common divisor of b and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52440 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*q**2 + 128*q**2 - 58*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 655.\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043657 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 487439, 487445, 487451, 487457, 487463?\n\"Answer: 6*h + 487433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 4 + -1)*(-777)\/(-333)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 715247.\nAnswer: 13, 37, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by -180401?\nAnswer: -51\/180401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 7085*m + 70957. Give h(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2701785 and 181\/10807140?\nAnswer: 10807140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*z**2\/5 - 244*z\/5 - 8.\nAnswer: -4*(z + 10)*(6*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - g + 0*g - g)*(1 - 194*g + 1399*g + 0) + 4 - 3*g**2 + g**2 - 5 - 4*g to j*g**2 + i*g + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + (-226)\/10 - 10\/25. Let f = n - -18. Let l be 26 - (-2)\/(-2 - (3 + f)). What is the highest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9985750 is divided by 3747?\nAnswer: 3742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2844, 1411, -22, -1455, -2888?\nAnswer: -4321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 3*a + 3. Let c be d(2). Let y = -10\/23 - -256\/483. Which is smaller: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 11*z - 38 = -4*t, 5*t = -5*z + 60. Put -11\/2, z, -4\/43 in descending order.\nAnswer: z, -4\/43, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26211 - 11385. Suppose 189*f - 203*f = -v. Is 30 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**0))\/(w*w*w*w**(-11)*w))\/((w\/w**7)\/w*w\/(w*w\/(w*(w\/(w\/(w*w*w*w*w**(8\/5)*w*w))*w)\/w*w)*w)))**(-1\/31) assuming w is positive.\nAnswer: w**(-32\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 102637 take away 0.3?\nAnswer: 102636.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 14*x - 390. Let c be k(31). Let u = -13 + 35. Calculate the greatest common factor of u and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 3*w + 2*w**2 - 2)*(-3 - 5 - 6)*(-18*w + 17*w - 12*w + (4*w - 3*w - 3*w)*(-3 + 2 + 2)) as p*w**3 + d + r*w + n*w**2 and give r.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9547 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*6\/8 - 136\/32. Let o = -155 + 203.1. Let a = o + -48. What is the nearest to a in 1, d, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -42.009. Round y to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -28*j**6\/15 - 82*j**5\/25 + 22*j**3\/15 - 2*j**2\/5 + 4. Determine d, given that f(d) = 0.\nAnswer: -1, 0, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -119*a**2 + 1420*a**2 + 3213*a**2 as k*a + t*a**2 + c and give t.\nAnswer: 4514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 20. Let j = m - 17.0000014. What is j rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89373839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 12*c - 120, 486*c - 485*c = -2*y + 35 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*i + 97*r - 101 = -212*i, 3 = -2*i - r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 o, and 1 t when three letters picked without replacement from votbyoyqv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(112) + sqrt(343)*-1.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - y**2 - 3*y. Let b be -3 - (1 - 0) - -1. Let m be (b\/(-1))\/(1 + 0). Does 9 divide t(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbbbbrbbbbb. What is prob of picking 2 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 63549349 to the power of 1\/2, to the nearest integer?\nAnswer: 7972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 14301?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 14*o - 6*o - 26 + 14*o + 39. Let w be q(18). Suppose w - 77 = 4*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(105))\/sqrt(5))\/sqrt(3) + sqrt(847) + (sqrt(847) - (0 + sqrt(847))) + 3)**2.\nAnswer: 72*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -941460 divided by 6\nAnswer: -156910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*u + 1950 - 1832 = -2*z, 3*z + 12 = 4*u for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3 = -4*i, b = -0*b - 3. Is 0\/i + 99 + -3 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - 0 - -3)\/((-15)\/10). Suppose 0 = 4*j - 16, x + 3*j + r*j = 48. What is the remainder when 52 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 8)\/(31\/6 - (-90)\/(-15)).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -51399045124?\nAnswer: -51399045121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 341 + 346 = 0, 5*q + 4 = 4*l. Let p = 7 - 58\/9. Which is bigger: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 0, i - 2*w = 2*i - 1. Let z(x) = -x**2 - 9*x + 12. Let u be z(-10). Suppose 6 = -h + u. Which is the third biggest value? (a) 2 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 272 - 270. Let c be (3 - (-18)\/(-4))*-2. Put p, -2, -3, c in descending order.\nAnswer: c, p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.498 + 227.498. Let u = g - 243. Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*s**2 - 169*s**2 + 65*s**2 + 61*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 2\/1105 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 912205483 to the nearest integer?\nAnswer: 30203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1435284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1477288013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8816450?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 486544*q**2. Let h(o) = -141*o**2. Determine h(r(d)).\nAnswer: -33378234014976*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0) + (2 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -98*u**2 + 5*u - 154. Let d be t(9). What is d rounded to the nearest 100?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 8 = -q, -p = -18*q + 22*q - 32 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 37.4228.\nAnswer: 35.4228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - y + 1)*(-3*y**2 + 6*y**2 - y**2) + 6*y**3 + 3*y**3 + 4*y**3 to the form m*y**2 + h + l*y + b*y**3 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*x - 194, -5*q - 2*x = 3*x - 220. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131 and 75533683.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4490 - 124*x - 4490 + (3 + 0 - 2)*(-20*x - 22*x + 10*x).\nAnswer: -156*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 14 = 2*a - 2, -20 = -4*a. What is the third smallest value in 1, -3, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.3 less than 3955846.18?\nAnswer: 3955974.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-14))\/((-361)\/1444).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41152218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15936, 16560, 17592, 19026, 20856, 23076, 25680?\n\"Answer: -h**3 + 210*h**2 + h + 15726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224540 and 7292100.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1355 - 448 - 454 - 63773*w**2 - 453.\nAnswer: -63773*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10289474 and -5.\nAnswer: 51447370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -745, -2994, -6743, -11992, -18741?\n\"Answer: -750*t**2 + t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(z\/((z\/(z*z**(-11)*z*z))\/z*z))))\/z**(-8\/3)*(z\/(z**4\/z))\/(z*z**(-2\/9)) assuming z is positive.\nAnswer: z**(-82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3211*d**3 + 3213*d**3 + 3233*d**3 - 9661*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqq when three letters picked without replacement from qthtq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73.92 + 94.19. Let h = -0.89 - y. Let i = 168.999897 + h. Round i to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 33. Solve b = j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 + w - 4. Determine x(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 - (-89 - -61 - 122)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tftvfvtvtvvfvvftt. Give prob of sequence vttt.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -780? (a) 2\/7 (b) -3\/7 (c) 0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99.43 - 99.1. Let a = -59021.6699864 - -59022. Let z = m - a. What is z rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 + 0.1. Let k = 3 + d. Let s = -228 + 228.1. What is the third smallest value in s, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3294174*a - 3*a**2 + 1647085*a + 1647089*a + 5.\nAnswer: -3*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 3, -0.07, 4\/9, 0.2, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 less than or equal to -0.024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 341 - 328 = -675, s - 5 = 2*z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q*t**3 + 7462*q*t**2 - 115*q + 560*t**3 - 2*t**2 + 89926*t wrt t?\nAnswer: 6*q*t + 14924*q + 3360*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4 - 325*k**3 - 5880*k**2 + 101340*k - 332640.\nAnswer: 5*(k - 77)*(k - 6)**2*(k + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.3 + 3.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-24)\/32*(-40)\/(-12).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/88*-6 - 131\/(-4). Solve c + 0 = -8*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**5 + 186*h**4\/5 + 544*h**3\/5 + 716*h**2\/5 + 444*h\/5 + 106\/5.\nAnswer: 2*(h + 1)**4*(10*h + 53)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.46319 days to microseconds.\nAnswer: 299219616000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/10 and 79\/3350.\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/4)\/(-1) + -3 + 6. Suppose -c*r + 76 = -20. Let y = r + 6. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - 13*p**2 + 119*p. Let l(y) = 3*y**2 - y. Let r(h) = -l(h) + s(h). Find the second derivative of r(i) wrt i.\nAnswer: -12*i - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20074664 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2) + 9\/3. Let z = 37 - 34. Is 291\/x*2\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Let o = 177 + -130. Find the third derivative of 16*a**2 - o*a**m + 11*a**3 + 11*a**2 + 13*a**2 wrt a.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -380705*j**3*m**2 + 4*j**3*m - 3113*j**3 - 245 wrt m?\nAnswer: -761410*j**3*m + 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3643646+-10488.08\nAnswer: -3654134.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/7 - 3*d**2\/7 - 3*d\/7 + 3\/7.\nAnswer: 3*(d - 1)**2*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112\/(-42)*9186\/(-8)*1?\nAnswer: 2, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1853072.9097046 and -0.2?\nAnswer: 1853072.7097046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v - 2*b + 22 = 0, -2*v + 3*b = -42. Let s = v + -13. What is the third derivative of -5*p**5 - 118*p + 118*p - 6*p**s wrt p?\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57407 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 40*o + 3. Suppose 5*s - 18 = 2*d, 5*d + 5*s - 13 = 12. Let h be y(d). Let v = h - -87. Calculate the greatest common factor of v and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(1539) + sqrt(228)\/sqrt(48) - ((-1 + 2*sqrt(76))*-5)**2.\nAnswer: -7625 + 419*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 11:21 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 1185.\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -110. Let w = a + -43. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 13.7?\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 7:05 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2. Let b(p) be the second derivative of p**5\/60 + p**2\/2 + 6*p. Let o(i) be the first derivative of b(i). Give o(n(x)).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3 - 7 - 11*z + z - 1. Let r be y(-3). Does 7 divide 19\/2*1*(31 - r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125470?\nAnswer: 2, 5, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -240 (base 5) to base 14\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-4) - -1 - 3. Suppose 2*h + 3*c = 48 - 19, -y = h - 4*c. Let b be ((-2)\/(-2))\/((-4)\/(-40)). What is the highest common divisor of h and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1616, 1611, 1602, 1589, 1572, 1551, 1526?\n\"Answer: -2*r**2 + r + 1617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + u + 14. Let g be p(0). Suppose 3*k + g + 16 = 0. Let v = 17 + k. What is the remainder when 17 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*n + 39322, 14*t - 9*t - 78648 = -4*n. What are the prime factors of n?\nAnswer: 71, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3396145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -0.188.\nAnswer: 0.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-680) - (-57)\/612 - (-88)\/(-96)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000011000 - -1010011?\nAnswer: -1010111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 623047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 567053 or -12?\nAnswer: 567053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**3 - 5*h**2 - 6*h - 1. Let w be s(-4). Suppose 84*p = -128*p - 1409 + 4589. What is the highest common divisor of w and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**3 - 3*w**3 - w**4 + (-3*w**3 + 2*w**3 + 3*w**3)*(2 - 2 + w) + (-2*w + 2*w - 2*w)*(0 + 1 + 2)*(-w**3 + 3*w**3 - 3*w**3).\nAnswer: 7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/10 - 19*g**2\/5 - 159*g\/10 + 99\/5.\nAnswer: -(g - 1)*(g + 6)*(g + 33)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 105 - 53 + 6*l**3 - 4*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 5. Let z be y(-1). Let i be ((-8)\/10)\/2*-5. Let p = i + 2. Calculate the greatest common divisor of p and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from {f: 4, n: 3, j: 2, v: 2, a: 2, w: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -387 + 762 + 20*c - 5*c**2 - 390 = 0. Calculate c.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 103. Suppose -4*j = 5*v - b, -5*j + 1 = -4. Solve 3*n = v - 22 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 324\/565 - -3\/113. Let v = 0 - -2. Let g = 0 + v. What is the closest to g in 3, d, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136 (base 15) to base 6\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is acc + -1?\nAnswer: acb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -2)*0\/3. Suppose -a - 34 = -4*k + 31, -k - a + 10 = n. Let g be 1\/(-3) + (-4693)\/(-39). What is the greatest common factor of k and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -11*k**2 + 2*k - 1. Let z be u(1). Let s be 14\/6*-4*15\/z. Suppose -s*q + 1400 = -7*q. What is q rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) -2 (c) -3 (d) 40.73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + a = 9, -4*a = -2*x + x - 1. Suppose -4*u = 3*y + 68, -4*u + 8*y - 68 = x*y. Let m = u - -17. Is 0 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (0 - 8) + (13 + -19 - -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.04303 + 0.04303. Is -1\/883 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1326?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, 24, 45, 72?\n\"Answer: 3*w**2 + 6*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + -2.03. Suppose -5*l - 29 = 3*o, 0 = 4*o + 4*l - 0*l + 28. Sort o, q, -5.\nAnswer: -5, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/8)\/(59\/236).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.34 take away -35.6?\nAnswer: 43.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-5\/2)*a*a**(11\/5))**(-1\/70))**(-3\/13))**50 assuming a is positive.\nAnswer: a**(3\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -20*f - 108, y - 155 + 78 = -0*y + 4*f - 56 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = -3. Suppose -113 = -4*c - s, -z*c + s + s + 64 = 0. Is c a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*g + 6*g - 55*g)*(-1 + 1 - g + (-2 + 4 + 0)*(4*g - g - 2*g)) + (-2*g - 3 + 3)*(2 - 2 - g) to the form r + b*g**2 + z*g and give b.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*s - x + 41 = -212*s, -12*x + 170 + 247 = -20*s + 23*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-21)*18\/(-15)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 106*j**2 + 110*j + 525. Let o be x(-105). Solve 45*r - 162 - 63 = o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47856 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (128\/4864)\/((-2)\/(-1148))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 408*y**2 - 42112*y - 3868800.\nAnswer: 4*(y - 100)*(y + 78)*(y + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from xxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 28*d + 0 + 0 - 34*d. Let i(a) be the second derivative of -a**3\/3 - 2*a. Give i(g(k)).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + q + 6. Suppose -8*p = -3*p + l - 6, -q*l = -3*p + 18. Factor 0*t**3 - t**5 - 4*t**4 + p*t**3 + 3*t**5.\nAnswer: 2*t**3*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2485)\/7100)\/(2\/(-48)*7).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, y: 1, z: 8, g: 1, l: 2}. What is prob of sequence lwgz?\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -37*t**2 - t - 1215. Let h(f) = 8*f**2 + 303. Calculate 9*h(s) + 2*j(s).\nAnswer: -2*s**2 - 2*s + 297","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -40, 3, 5, 2\/181?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 1. Let u be q(1). Suppose -m = 32 + 146. Let j = m + 179. Solve 5*z - j + 6 = u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-24)\/(2 + -4))\/((-2339)\/(-2336) + -1)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 15) in base 14?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-180)\/(-16) - 7) + 1\/(-4) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239 + -238.97. Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1701668.\nAnswer: 2, 425417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 29 (b) -0.1 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -205 (b) -42 (c) 0.1 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ff2 + 1f?\nAnswer: -fd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24 * 3723.\nAnswer: 893.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2197*i + 11. Let b(o) = -1098*o - 5. Let n(s) = -7*b(s) - 3*k(s). Is n(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59ae52 (base 16) to base 15.\nAnswer: -7b1670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 24 - (14 + -23 + 24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -193, -188?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 135*a + 51 - 1536 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmmm when four letters picked without replacement from {m: 6, z: 4, a: 2}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14664 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**6\/33 - 4*x**5\/55 + 3*x**4\/22 + 8*x**3\/33 - 4*x**2\/11 - 3. Suppose u(t) = 0. Calculate t.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 f, and 1 o when three letters picked without replacement from hfbfhobbbohzff.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30857, 30789, 30755, 30755, 30789, 30857, 30959?\n\"Answer: 17*c**2 - 119*c + 30959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(19) + sqrt(304) + 4).\nAnswer: 20 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 4*y - 50. Give j(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**2\/3 - 17888440*h\/3 - 19999767852100\/3 = 0.\nAnswer: -2236055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**3 + 2*q**2 + 9*q - 7. Let w be l(1). Solve 28 + w = -7*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -5*i - 4*w - 26, -4*w = 4*i + 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from dnduffdufdt.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 8:08 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*d - 2*d - 2*d)*(-d**3 + 2*d**2 - 2*d**2) + 0*d**4 - 3*d**4 + 4*d**4 - d**3 + d**3 + d**4)*(5 + 3*d - 5).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10903*f**2 + 53241*f**2 + 2446*f**2 - 7620*f**2 + 42181*f**2.\nAnswer: 79345*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/(-231) - 2 - 104\/(-2548)*7.\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -386, -635, -868, -1079, -1262, -1411?\nAnswer: -1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 14568237469\nAnswer: 14568237468.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004107 to 4 decimal places.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 5*r + 10*r)*(-3 + 3 + 2)*(-7*r + 1 + 2*r + 3*r) + r**2 + r - r to the form k*r + d + c*r**2 and give c.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1244 + 1229. Let h(m) be the second derivative of m**5\/20 + 5*m**4\/4 - 7*m**3\/6 - 3*m**2\/2 - 2*m. Is h(w) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230398.2 decades in months?\nAnswer: 27647784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107\/545 + 2\/545. Let i(n) = 11*n - 9. Let h be i(4). Let y be (-12)\/(-30) - 74\/h. What is the second biggest value in m, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**5*q*t**2 - 919*n**2*t**2 + 2*n*q - n - 9*q*t + 3*t**2 wrt n?\nAnswer: 40*n**3*q*t**2 - 1838*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. What is the third derivative of -2*z**2 + 5*z**6 - 3*z**a - z**6 + 0*z**6 wrt z?\nAnswer: 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 123, -2, 3\/2, 4\/13 in decreasing order.\nAnswer: 123, 3\/2, 4\/13, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1409*l - 1183*l + 11551*l + 10618*l. Let s(z) = -z**2. Determine s(m(k)).\nAnswer: -501536025*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, x: 7, l: 4}. What is prob of sequence lx?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3) + 2 + -1)**2 - (sqrt(300) - -6*(sqrt(300) - (sqrt(300) + 2)) - sqrt(300))**2.\nAnswer: -137 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21257, -85005, -191243, -339965, -531165, -764837, -1040975, -1359573?\nAnswer: -1720625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p - 19. Let w be i(-6). Let s = -1\/194 - -399\/2134. Which is the third biggest value? (a) 1\/6 (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + 0.5. Let k = -3.4 + 0.4. Let r = -0.066 + 3.066. Which is the nearest to k? (a) -1 (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 10 - 23*f - 2 + 0.\nAnswer: -23*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7914 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3462755 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2317979 or -15?\nAnswer: -2317979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-1)\/3)\/((-4)\/12))\/(5\/5). Suppose 20 = 4*w + 4. Solve y = 4*m - s, -4*m - 10 = -w*y - 2*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/13)*s)\/(s*s**(-24)*s))**(-4\/13) assuming s is positive.\nAnswer: s**(-1208\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -39*v - 16. What are the prime factors of b(-2)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 5*j**8\/168 + j**5\/3 - 3*j**2 + 12. Let h(d) be the second derivative of i(d). What is the third derivative of h(g) wrt g?\nAnswer: 600*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -327, -777, -1419, -2253, -3279, -4497?\nAnswer: -5907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 507379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -70.2 times -0.03\nAnswer: 2.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -238701300 divided by 3182684\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -3\/4 (b) -1 (c) 36.878\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 5\/3)\/(16\/(-12)). Sort -0.4, m, 65 in descending order.\nAnswer: 65, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, r: 2, k: 1, f: 1, z: 1, p: 1}. Give prob of picking 1 z, 1 p, 1 k, and 1 f.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 15\/13 (b) -4\/3 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 p when four letters picked without replacement from {k: 4, x: 10, p: 5}.\nAnswer: 75\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6732*f + 3. Let g(u) = -1207*u. What is g(s(k))?\nAnswer: -8125524*k - 3621","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 - 3*k**2 + k**2 - 2*k**2 + 4*k**2 + 10*k**2 + (-6*k**2 + 4*k**2 + 3*k**2)*(-2 - 4 + 3).\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39361895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**2 - v - 1. Let o(l) = 4*l**2 + l + 1. Let f(s) = 5*i(s) + 6*o(s). What is the units digit of f(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6966019 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3096 = 3*i, 3*t + 4*i - 5299 + 621 = 0. List the prime factors of t.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 - 40. Let v = 28 - s. Solve -11 = v*d - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + t - 2. Let l be h(1). Suppose -4*s + 7 = -l. Suppose -3*v - 4*f + s*f = -3201, f = -3*v + 3204. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 16*s - 101. Let y(w) = -w**2 + w + 1. Let c(x) = g(x) - 4*y(x). Is c(28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen halves of a tonne?\nAnswer: 6500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -1 + (0 - 0). Let x(i) = 32*i**2 - 2*i - 1. Let s = 11 - -1. What is the remainder when x(h) is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.6? (a) 1\/29 (b) -2\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9944.51 times 0.5\nAnswer: 4972.255","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: -12397 divided by -78\nAnswer: 12397\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101505742*r**3*z**2 + 1655*r**3*z + 5527*r**2*z wrt z.\nAnswer: 203011484*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t - 5*g + 10 = -15*t, -3*g = 2*t - 8. Let a(m) = m**3 + m**2 - m - 1. Let h(s) = -30*s**3 - 27*s**2 + 27*s + 27. What is t*h(i) - 54*a(i)?\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12838142517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 35*o + 946. Let c be y(-27). Put c, -1\/2, -0.3, -655 in descending order.\nAnswer: c, -0.3, -1\/2, -655","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 7. Let w(r) be the second derivative of -1\/2*r**3 - 5*r + 10*r**2 + 0. Give -17*c(g) + 6*w(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 90450, 180902, 271354, 361806, 452258?\n\"Answer: 90452*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 1. Let d be v(-3). Let q = d + -2. Let f(l) = l**2 - 3*l + 2. Let p be f(3). Solve -p*b - 2 - 4 = q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 22. Let d be q(-16). Let h(p) be the second derivative of 1\/45*p**d + 0 - 1\/3*p**2 - p + 0*p**4 - 1\/15*p**5 + 2\/9*p**3. Factor h(r).\nAnswer: 2*(r - 1)**3*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2110 and -993988?\nAnswer: 996098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from hyhcpcyypyhyhmyp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 5:50 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1353 - -1355. Solve 5 = 4*a - 5*h + 37, v*h - 17 = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 5*o - 3*i - 78 - 27 = -14*o, 0 = -3*i + 18*i + 600 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -326 by 4.\nAnswer: -163\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 24 = -4*c, 8*g = 10*g + 2*c + 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2aac + -7?\nAnswer: 2aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 13*f - 3*t + 4, 5*t = 20. Find the third derivative of 6*g**3 - 500*g**2 + 15*g**3 + 248*g**f + 250*g**2 wrt g.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d. Suppose b - 1 = -0*b. Let a(x) be the first derivative of 1 - 5 - b - x**2 + 2. Give v(a(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 - 14*x - 62)*(-2 + 2 - x).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 134075136 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/100 - 4\/25. Which is the closest to 0.3? (a) h (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/36*3)\/(14\/(-28)))\/(40\/3660)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21167184 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5472 is divided by 646.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 4*s**3 - 83*s**4 + 70*s**4 + 0*s + 2*s**3 in the form z*s**2 + j + c*s + u*s**3 + k*s**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v\/v**13))*v)**(3\/2) assuming v is positive.\nAnswer: v**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.359978 - -0.36. What is r rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 3:25 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18924 bigger than 24221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*113.346\nAnswer: 68.0076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**2 + 5*k - 1. Let u(o) = 2*o - 4. Let d(b) = 4*s(b) + 3*u(b). Let v be d(6). Which is smaller: -3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-4*i - i + 3*i) + (-3 + i + 3)*(-16 + 37 - 13).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (660\/(-462))\/((-5)\/(-210)*-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4061 times 3\nAnswer: -12183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75804751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008409 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + m + 2. Let t(s) = s - 3 - 2*s**3 - m*s**3 + 8*s**3 + 2. Let l be t(1). Solve 5*k - 2*c - l = 0, 4*c = 5*k + 3 - 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3022 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14029211.\nAnswer: 7, 137, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99a5 (base 12) to base 9.\nAnswer: -25248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**2\/2 + 40*y - 1. Let v(b) = -17*b + 12*b + 11*b + 18*b - 23*b. What is v(d(t))?\nAnswer: -t + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3133 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(200) - (sqrt(200) + -2*sqrt(200)) - sqrt(200) - sqrt(50)) + sqrt(250)\/sqrt(5)*4)\/(sqrt(490) - sqrt(490)*-2 - sqrt(50)\/sqrt(5)*5))**2.\nAnswer: -125\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5) + -2 + 7 + -11 - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7*(18 + -3)\/5 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 174*m - 1537. Let n(f) = -11*f**2 + 7*f. Let h(z) = 10*z**2 - 8*z. Let k(c) = -3*h(c) - 4*n(c). What is the remainder when k(3) is divided by q(9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 32832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*g + 189*g + 2*b + 75 = 87, -18 = -5*g - 3*b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.31 - -0.07. Let y = g + 0.2399899. What is y rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -286.49, -0.6, 2\/7 in descending order.\nAnswer: 2\/7, -0.6, -286.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -1\/12*t**4 + 0 - 1\/2*t**3 + 9*t - 1\/2*t**2. Let z(i) = i**2 + 2*i - 25. Let u be z(4). Calculate a(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*m - 133*m - 32*m + 375*m + 855*m**2.\nAnswer: 855*m**2 + 92*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c - 18. Let g be b(5). Suppose -g*q = -4*s + 22, -4 = -3*q - 4*s + 13. Let u be q*(-4 - -3)*5. Solve -u*z = -z - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1604806.\nAnswer: 2, 7, 79, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + 4*w + 4*w)*(-1 + 1 - 2*w)*(15*w**2 + 16 - 16)*((w - 3*w + 0*w)*(0 + 5 - 4) + w - 8*w + 0*w).\nAnswer: 540*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-5*x**2 + 5*x**3 + 5*x**2)*(-62*x**2 + 24*x**2 - 22*x**2).\nAnswer: -600*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 860 and 940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - g**4 - 2)*(2 - 4 - 2) - 110*g**4 + 35*g**4 + 14*g**4.\nAnswer: -57*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(187) + 2*sqrt(187)) - 6*(sqrt(187) - sqrt(187)*-5))\/(((4*2*sqrt(66) - sqrt(66)) + sqrt(66))\/((sqrt(24) - sqrt(6))*-1)).\nAnswer: 51*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*-1)\/(sqrt(44)\/(sqrt(11)*1)) - (sqrt(40)*1*3)\/(sqrt(72)*-2 + sqrt(72)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124.274m to nanometers.\nAnswer: 124274000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 10*k - 7*k. Let q = 2304 + -2286. Solve -5*b = -k*x - q, -x + 3*b - 2*b - 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894924 to the power of 1\/2, to the nearest integer?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/25888 and -31\/2440.\nAnswer: 7895840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (-34)\/680*-460\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/12)\/b**2)\/((b\/b**(2\/7))\/b*b**(-8\/7)))\/(b\/(b**3*b)*b*b*b\/(b\/b**(-2\/7)*b)*b**0*b**6) assuming b is positive.\nAnswer: b**(-353\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 4768?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1741 is divided by 223?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 96719.89 days?\nAnswer: 8356598496000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -f + 4. Let h be (1\/f)\/((-4)\/(-88)). Let w = 30 - 18. Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71152, -142210, -213268?\nAnswer: -284326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*z**3 - 5331*a**3*z + 548*a**2*z**3 wrt z.\nAnswer: 12*a**3*z + 3288*a**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 + -89. Suppose w*q + 4*q = 984. List the prime factors of q.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -198*b**2*j**3*s - 15*b**2*j**3 + 916*b**2*j + 475*b*j**3*s + 19*b*j*s + 12*j**3*s wrt b?\nAnswer: -396*j**3*s - 30*j**3 + 1832*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56 and 6?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-36)\/21) + (-48186)\/(-167916). Let z = 64990\/17991 - l. Calculate the common denominator of z and 1\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*g + 3 + 10, -4*g - 18 = r. Suppose -z = -r*d + 24, -2*d - 2*z + 4 = 2*z. Let j = d + -6. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -27*u**5 + 51*u**2 + 7*u. Let t(f) = -18*f**5 + 34*f**2 + 5*f. Let p(a) = 5*m(a) - 7*t(a). Find the third derivative of p(q) wrt q.\nAnswer: -540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 5*y - 24. Determine s(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -814941?\nAnswer: 814944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -5 (c) -0.5 (d) -58 (e) 0.5 (f) -8\/1519\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -188*r**3 + 3*r**2 - 2*r - 3. Let v be h(-1). What is the greatest common divisor of 2755 and v?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 24 = -6. What is the remainder when (178\/(-2))\/1*-1 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5402.156ms?\nAnswer: 5402156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 + 9*z**4 + 3 + 2*z**3 - 19*z**4 - z + 8*z**4 in the form f*z**4 + t*z**2 + c*z**3 + y + h*z and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 6*q. Suppose 4 + q = z. Suppose -5*x - 95 = -2*s, 0*x - x - 181 = -z*s. Does 25 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x**2 - 160*x**3 + 35*x**2 - 9*x**2 - 154*x**3 + 312*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*sqrt(2057)*-5*4 - -3*(-2*sqrt(2057) + sqrt(2057))*-5)**2 + 1.\nAnswer: 2519831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -875 (base 10) to base 7\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -46 + -104?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzdd when four letters picked without replacement from {v: 2, g: 1, d: 4, x: 3, z: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*c = -170*c + 945. Let x(j) = 40*j - 1. Let g be x(4). Suppose -2*m - 33 = -g. What is the greatest common divisor of c and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.618 to one dp.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -587 + 1333. Suppose -1002 = -4*y - 7*s + 6*s, 0 = -3*y + 2*s + p. What is the least common multiple of y and 2?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a kilogram in grams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1770143 and 4.\nAnswer: -7080572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 6*o - 28698 = -4*o. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k + 3*k - 27*k + 12*k - 3*k + 9*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyhyjjjihwyhwjhyjyh. Give prob of sequence wwiy.\nAnswer: 5\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 9 - 3. Let a(v) = 6*v + 9. Let y(i) = 3*i + 4. Let n(j) = -3*a(j) + 7*y(j). Let k be n(s). Solve b = k - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 5*g**2 + g + 4. Let i be t(-5). What is the units digit of (69 - 2)*(0 - i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 0.2. Let s = 0.5 - 4.5. Sort s, c, -5 in decreasing order.\nAnswer: c, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70.00057 + -70. What is q rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 9?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/7 + 2538*a**2\/7 - 90946*a - 1932762\/7 = 0. What is a?\nAnswer: -3, 349, 923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 58561 (base 10) in base 16?\nAnswer: e4c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**7\/168 + h**6\/120 - 3*h**5\/40 + h**4\/24 + 5*h**3\/24 - 3*h**2\/8 + 7*h. Let x(r) = 0. Calculate r.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361648714?\nAnswer: 2, 7, 67, 55079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1441411214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e64 - -2?\nAnswer: -e62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2599 or -33793\/13?\nAnswer: -33793\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.4 - 20.4. Let z(j) = -j**2 + 16*j + 25. Let n be z(17). Sort 2, r, n in descending order.\nAnswer: n, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(104)\/sqrt(8))**2*3 + sqrt(65)\/sqrt(320)).\nAnswer: 3*sqrt(13)\/4 + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 15 = -0*t. Suppose 20*w = -4*w + 7*w. Put t, w, -5 in decreasing order.\nAnswer: t, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 318 and 1080?\nAnswer: 57240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -39*k**3 + 67*k**2 - 4*k + 4. Let n(m) = 38*m**3 - 66*m**2 + 5*m - 5. What is 5*b(q) + 4*n(q)?\nAnswer: -43*q**3 + 71*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - -2) + -1438 + 1446 - 30?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 45\/4*c**2 - 49 + 2*c**3 + 1\/8*c**4 + 25*c. Find f such that z(f) = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436927617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + p - 22 = 1, h - p - 9 = 0. What is the tens digit of 975\/20 + 2\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y**2 + 34*y - 14. Let t = 76 - 90. Let d be k(t). Suppose 3*q + 2*q = -4*w + d, 2*q = 5*w - 1119. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(0 + sqrt(108)))**2 - 4*((sqrt(108) - (2 + sqrt(108))) + sqrt(108) + -1 - sqrt(108))**2.\nAnswer: 3853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w\/w**1*w))**(-1\/21))**(19\/2))**26)**(-31) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34040.\nAnswer: 2, 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -19 - ((-42 - -30) + -29 + 94).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10794186 by 163.\nAnswer: -66222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23\/2? (a) -5 (b) 2 (c) -2\/323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 - -0.14. Let i = 46 + 178. Let c = i - 221. What is the second smallest value in c, 2\/17, t, 5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 310.309 + -310. Let v = r - 0.509. Let w = -12.7 + 12. What is the nearest to -1 in 1\/2, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/5)\/(t*t**2*t*t))\/(t*t**(2\/3))**(-14\/13) assuming t is positive.\nAnswer: t**(-742\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -11*v + 5*v. Calculate the least common multiple of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -131302.699984 - -131304. Let n = u - 1.3. Round n to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.288956 months to centuries.\nAnswer: 0.01857413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**7\/2520 + z**3\/3 + 8*z**2 + 18*z. Let u(l) be the second derivative of s(l). Find r, given that u(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5\/2 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1764, 32, 4, 2, 6, -2 in decreasing order.\nAnswer: 1764, 32, 6, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uum. What is prob of sequence mu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -17655470 > -17655449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 934052, 1868108, 2802164, 3736220, 4670276, 5604332?\nAnswer: 6538388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95 - -97. Let h = 0.8 - 1. Let s = -0.1 - h. Which is the closest to -1? (a) u (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-8 - -5)*-2. What is the common denominator of (26 + a)\/(-26 - 2 - 2) and -97\/100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 + 4*h**3 - h**3 + (-3 + 2*h**3 + 3)*(0 + 2 - 3) + 629*h**3 + 648*h**3 - 1195*h**3)*(-22 + 22 - 9*h).\nAnswer: -711*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1335, 2548, 3761, 4974?\n\"Answer: 1213*v + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2. Suppose -5 + 65 = 2*q. Suppose -2*p + q = -5*a, 0*a = 4*p - a - 24. Let j(m) = 5*m + 4*m - p*m. Determine j(c(d)).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12098305 divided by 5389\nAnswer: 2245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (243*m - 66*m**3 - 243*m)*(1 + 3 + 2).\nAnswer: -396*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12057565 divided by 5\nAnswer: 2411513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -10 - 10) + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/7 - (-93)\/7. Let z = -5 + o. Suppose -3*s = -z*s + 15. Solve -s*k = -6*k - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 0 + 0*b - 1\/30*b**5 + 0*b**6 + 0*b**4 + 37\/3*b**3 + 59\/210*b**7 - 39*b**2. Differentiate q(l) with respect to l.\nAnswer: 236*l**3 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 565887966.372 - 0.017\nAnswer: 565887966.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, d: 2, v: 2, e: 3, z: 1, q: 2}. Give prob of picking 2 s.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.8 + 2.2. What is the biggest value in -2, -0.6, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 12 = -4*v. Let h be (4\/48)\/(v\/(-6)). Is h not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3*o - 3*o)*(-2*o + 0*o + 4*o) + (86*o - 181*o + 87*o - 4)*(-2 + 1 + 3)*(-6*o - 3*o - 2*o).\nAnswer: 174*o**2 + 88*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 204*j**2 - 13382*j. Let d(g) = 5*g. What is d(c(a))?\nAnswer: 1020*a**2 - 66910*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -113155*x**4 + 222689030*x**3 - 146083990560*x**2 + 31943690662400*x + 2823004160.\nAnswer: -5*(x - 656)**3*(22631*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.12 - 0.1. Let g = 0.22 - a. Let d = 0.236 - g. Round d to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 632.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1528 + 666. Let p = j + 5149\/6. What is the common denominator of 121\/20 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 7:34 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*d*l**2*o - d*l**2 + 2*d*l*o - 62*d*l - 6*d - 2*l**2*o - 14387*l**2 + l - 6*o wrt l.\nAnswer: 26*d*o - 2*d - 4*o - 28774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4364? (a) -0.4 (b) 4 (c) -3\/2 (d) -1\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -39)*(-1)\/2. Let z = t + 28. Solve 0 = -2*a - 5*d + z, -d = -a + 3*d - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 2)*(-4 - 3 + 6)*((1 - d - 1)*(9 - 15 - 6) - 3*d + 3*d + 2*d) to j + u*d and give u.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 16*j. Let v(t) = t**2. Let i(d) = l(d) - 3*v(d). Let f(a) be the second derivative of i(a). Let u(n) = -n + 5. Calculate -10*f(z) - 4*u(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - u - 5*d - 603, 3*d - 421 = 2*u. Let b = -19 - u. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26964\/49 + (-2)\/7.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 7:18 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-654)\/(-2943) - (-2 - 5\/(90\/32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 70 - 10. Let q(l) = 2*l + m - 6 - 9. Determine q(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*m - 10 = 0, 0*m = -5*z + m + 23. Suppose 736 = 5*o - z*o - 5*q, -2*o = q - 1494. Is 36 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -3. Let w = -44.104 + 44. Let i = w + 0.084. Which is the second smallest value? (a) s (b) i (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2526*m - 22866. What is z(9)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 86836*u + 173688.\nAnswer: -4*(u - 21711)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2\/39891 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -184, -411, -728, -1135, -1632, -2219?\nAnswer: -2896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 186 = -8*x - 10*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 216*m + 495. Let t(u) = 7*u + 16. Let v(o) = 63*t(o) - 2*w(o). Suppose -36*x + 77 + 319 = 0. What is the tens digit of v(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven sixths of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*a - 445 = -233 + 992 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 12) to base 10\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8066977?\nAnswer: 8066977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5729533889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 181921706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4 + 8 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 11:34 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 739, 723, 703, 679?\n\"Answer: -2*p**2 - 10*p + 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a = 13*a + 35. Suppose -18*o + 17*o + 608 = -4*v, a*o = 4*v + 3040. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1464948008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4926*i - 2*i**2 + 4926*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8827\/5 - 1766. Sort -1, -0.07, -0.06, h in ascending order.\nAnswer: -1, h, -0.07, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**6\/120 + b**3\/2 - b**2 + 4. Let v(i) be the second derivative of z(i). Find the first derivative of v(h) wrt h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**3 + 2*n - 4 - 2*n**3 + 4*n**2 - 2*n**3. Let t = 52 + -48. Calculate u(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 1, l: 4, e: 4}. Give prob of picking 1 q and 1 a.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 138*d + 4749. Give z(-54).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/57*2\/(-24)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*((-40)\/(-12) - 3). Solve -z = -3*k + 13, 0 = -5*z - y*k - 3*k + 35 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262031*w**2 + 524065*w**2 - 262028*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20689349\/28 - 738790. Let a = 6297727\/51380 - 1\/7340. Let c = a - b. Find the common denominator of c and 14\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/7 + 10264*g**2\/7 + 26337424*g\/7.\nAnswer: g*(g + 5132)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (9\/420)\/(498\/1660)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -20?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y**2 + 5*y + 0*y**2 - y**3 + 6 - 2*y**2 + y**2. Let c be d(-5). Is c\/8 + (-2)\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 6*b**2 - 6*b + 1. Let d = 115 - -21. Suppose -3*k - 2*v = -85, 7*k - 3*v - d = 3*k. Let p = k + -27. Give m(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 110\/8*30156\/7898. Factor 25\/4*d**3 + 0 + 20*d + r*d**2.\nAnswer: 5*d*(d + 8)*(5*d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from upwwawapavawaapfw?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -48 - 32. What is the least common multiple of 1 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**2 - 25770550*w - 33206062365125 = 0.\nAnswer: -2577055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 4*i - 608, -2*t - 5*i = 2*t - 607. Round t to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a - 78*a - 1 + 127*a + 1.\nAnswer: 27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + (4 + sqrt(176) + -5)**2 + sqrt(176).\nAnswer: -4*sqrt(11) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 6*v + 3. Let s(p) = p**2 - 6*p + 3. Let x be (-2)\/4 - (-25)\/(-10). Let o(u) = x*m(u) + 4*s(u). What is the units digit of o(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (1 - -1) - -13 - (6 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1148*j + 1172*j = 1200 for j.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/60*4)\/(1\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 2*u = -14*y - 54, 5*y = -4*u - 131. Suppose -3 + 6 = -r. Let w = r - y. Calculate the remainder when w is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1381499310 < -1381499310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(304) + -2*sqrt(475)) - (-2*(sqrt(171) + -3*sqrt(171)))\/((sqrt(9) + sqrt(18)\/sqrt(2) + sqrt(9))*1).\nAnswer: -76*sqrt(19)\/3 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -14\/33, -14, 0.07, 1\/9?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5\/13 + 218*u**4\/13 + 6926*u**3\/13 + 42102*u**2\/13 - 478656*u\/13 - 1645056\/13 = 0. What is u?\nAnswer: -48, -17, -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 128892763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 143*z**7\/14 + 39*z**3 - 1798*z. Find the second derivative of i(s) wrt s.\nAnswer: 8580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.053, 1, -2\/3?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*21\/(-12)*606\/707?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 1 = -13. Solve l*p = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22293 less than or equal to 122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15677496 to the power of 1\/2, to the nearest integer?\nAnswer: 3959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4053 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*(-5)\/5. Let u = -1 - s. Put u, -2\/7, 4 in ascending order.\nAnswer: -2\/7, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 48945947*t. Let b(x) = -2*x**2. Determine y(b(w)).\nAnswer: -97891894*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002143621 to six decimal places.\nAnswer: -0.000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 723682.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.08? (a) 2 (b) 1\/2 (c) -1\/3 (d) -0.2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l - 5. Determine p(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 8*f**2 + 7*f - 1. Let w be -1 + (-9)\/(-2 + -1). Suppose 2*x - 12 = w*z - 36, -3*z + 41 = -4*x. Let y be a(z). Which is smaller: y or -2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(40 + -2)*3. Let x = -27239\/420 + 1299\/20. Sort -0.1, l, 1\/2, x in decreasing order.\nAnswer: 1\/2, l, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 1. Let i be l(-3). Let x be 4\/6*72\/16. Let g(q) = 6*q - i*q - q**2 + 2 - x*q. Let u(d) = d**2 - d + 1. Determine g(z) - u(z).\nAnswer: -2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-27)*((m\/m**5*m*m)\/m)\/m**7*(m**(-1)\/m*m*m)**(-3)*(m\/(m*(m**(-1\/4)*m)\/m))**(-9\/4) assuming m is positive.\nAnswer: m**(263\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 - 2*n**2 - 2*n**2 - n**2 - n + n + (2*n + 0 + 0)*(2*n - 4*n + n) + 0*n**2 - 3*n**2 + 2*n**2 + n**2 + 0 + 0 + (1 + 4 + 0)*(-3*n - 2*n**2 + 3*n).\nAnswer: -19*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -1. Let b(y) = -y - 22. Let t(g) = -b(g) + 6*w(g). Let n be t(-12). Solve -4 + 0 = n*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -5)*(-2 + 3). Suppose 3*g = -i - 16, i + 4*g + 15 = -6. Suppose -d = -5*d + 28. Put i, k, d in descending order.\nAnswer: d, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 26, -3, 120, 1, 3 in descending order.\nAnswer: 120, 26, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -3.1. Let b = o - -3.0000036. What is b rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*g**2 - 129*g**2 - 29*g**2 + g + 645*g**2 + 91*g**2.\nAnswer: 1035*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 2\/9, -0.4.\nAnswer: -0.4, 2\/9, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 340134559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12581 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 2*f - 4. Let j be i(4). Let u = 114 + -114. Suppose 0 = 4*t - u*q + 5*q - 15, t + q = 4. Calculate the highest common factor of t and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tshy when four letters picked without replacement from mttsmymttsh?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z**4\/11 + 364434*z**3\/11 + 3279558*z**2\/11 + 8380830*z\/11 + 5465700\/11 = 0. What is z?\nAnswer: -60730, -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1818838?\nAnswer: 2, 7, 129917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0699792 in 2\/9, -0.1, 3\/2, -1\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/12*6\/4. Let l(d) be the first derivative of -d**4\/4 + 2*d**3 - 7*d**2\/2 + 4*d - 1. Determine l(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 = -5. Let m(f) = -f - 4 + 0 + 2*f. Calculate the lowest common multiple of g and m(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 3*c + 17, 5*r + 0*c = 3*c + 1. Suppose -h = r*h - 1116. Suppose 18*u - 14*u - h = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -120176 and 0.3?\nAnswer: 120176.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1790 - -1794. Let j(f) be the second derivative of -5\/2*f**3 - 1\/4*f**k - 6*f**2 + 2*f + 0. Let j(r) = 0. Calculate r.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192445541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63996 - -447974\/7. Suppose -5*u - 2 = -v - 27, 0 = -4*u - v + 11. Factor -9\/7*c**2 - 1\/7*c**u - t + c + 5\/7*c**3.\nAnswer: -(c - 2)*(c - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 3, -13 in descending order.\nAnswer: 16, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059239 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.876518 years?\nAnswer: 0.8876518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -386, 1169, 3.\nAnswer: -386, -8, 3, 1169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37 + p - 2*p**2 + 37 - 36)*(p + 0*p + 0*p) to the form m*p**3 + r*p**2 + l*p + f and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*(-3 + -5 + (sqrt(13) + -1 + sqrt(13))**2).\nAnswer: -8*sqrt(13) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**5 + 28*b**4 - 164*b**3 + 148*b**2 + 160*b - 176 = 0?\nAnswer: -11, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1166 - 689. Suppose -10*r + 8217 = d. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 - -67. Let d = 24 + -10. Let y be (s\/14)\/(8\/d). What is the closest to -1 in -0.5, 3, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/2)\/(6\/(-8)). Let l be x + 3 + (4 - 7). Sort 1, -4, l.\nAnswer: -4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6109 - -6112. What is the smallest value in 13, 42, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.38 rounded to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 21*l**2 + 16 - 25*l**2 - 14 + 88*l**2 - 35*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**7\/35 + 173*a**6\/60 - a**5\/60 + 6319*a**4\/24 - 28*a**2 + 8*a + 1. Find the third derivative of m(d) wrt d.\nAnswer: 144*d + 2076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}