diff --git "a/data/dm_maths/full_data_1/10452_11255.jsonl" "b/data/dm_maths/full_data_1/10452_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10452_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify -1 + ((-3*sqrt(76)*-5 + sqrt(76))\/sqrt(2))\/((sqrt(1000) + sqrt(1000)*-4 - sqrt(1000))\/sqrt(5)).\nAnswer: -2*sqrt(19)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5831 + -5539. What is the remainder when q is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 3:22 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqp when three letters picked without replacement from {p: 1, q: 6, c: 3, s: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/9 (b) 7069256 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*p - 34157, -5*p + 42718 = -t - 0*t. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millimeter in micrometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + j = 3*c - 6*j + 1, j + 10 = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 8:39 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 980.8 to the nearest 10.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -259 and 5.65.\nAnswer: -253.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from zzzzbzzzzzzzzzzzzzzz.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1665 + -1657. Solve p*z - 12 = t + 4*z, 3*t + 6 = 2*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42303 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7202313 is divided by 200064?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**7\/30 + 7*p**5\/60 + 3*p**2 - 6. Let k(n) be the second derivative of a(n). What is the third derivative of k(j) wrt j?\nAnswer: -168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*l - 26. Find z, given that -53*z + 2*z + 41*z**2 - 25 - l*z**2 = 0.\nAnswer: -25, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(132) - -1*sqrt(132)*3)\/(sqrt(12) + 5*(sqrt(432) + sqrt(12))).\nAnswer: -5 + sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p - 4. Let f(x) = -x**3 + 6*x**2 + 8*x - 10. Let j be f(7). What are the prime factors of u(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1858a6 - -6?\nAnswer: -1858a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1436474?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22865 and 96586333.\nAnswer: 4573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 8:06 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 37, -3\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 177132351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6d5 + -8?\nAnswer: -6dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2201, 4402, 6603, 8804, 11005, 13206?\n\"Answer: 2201*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 = -3*t, 0 = 5*s + 5*t - 3*t - 12. Differentiate -44*a**3 - 3703*a**s + 46 + 3703*a**2 with respect to a.\nAnswer: -132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1219*u**3 + 1598*u**2 wrt u.\nAnswer: 7314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 + 55*l - 28. Let g be c(-19). Let t(j) = -j**3 - j**2. Let o be t(2). Let i = o + g. Let x(r) = -r**2 - 4*r - 1. Determine x(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -14. Let g = 5 + -1. Calculate the remainder when g is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c9 + b822?\nAnswer: b259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 47. Let c be (-10 - -1)*(-30)\/k. Suppose -2*l = -c*l. Solve 0 = -3*o - l - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 267*f*q**3*s**2 - 5*f*q**3*s + 13025*f*q**3 + 107816*f*q**2*s + 125*f*q*s**2 wrt q?\nAnswer: 1602*f*s**2 - 30*f*s + 78150*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 8*c**2 - 6*c + 5. Let d be p(-7). What is the remainder when 95 is divided by (d\/(-4))\/((-13)\/(-208))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/((-39)\/21))\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -131 - j + 308 - 178. Let v(o) be the second derivative of 14*o**3\/3 + 21*o**2\/2 - 3*o. Calculate -21*l(n) - v(n).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z. Suppose -i + j - 4 = 0, -2*i = 3*i - j + 4. Let t(l) = i*l**2 - 2*l**2 + l**2. Calculate t(g(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*j + 0*j + 218 = 0, y - 125 = 2*j. Suppose 0 = -c - 2*c + y. What is the highest common divisor of c and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/558 and 139\/504?\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 36 = -22*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 163459766 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 4 + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 4:30 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2883 and 465?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 150*v**3 - 6*v**2 - 23*v + 12. Calculate the least common multiple of l(6) and 20.\nAnswer: 320580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4\/8 - 18555*l**3\/8 - 38229453*l**2\/8 - 26186977257*l\/8 + 26340192141\/2.\nAnswer: -3*(l - 4)*(l + 2063)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/8 and -111\/28882.\nAnswer: 115528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 plus -0.158272?\nAnswer: 1.141728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28072 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**5\/20 + f**3\/2 - 3*f**2\/2 + 4*f. Determine c(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4 - 8 = 0, -21 = -5*h + 2*i. Let y = -60640 - -60643. Solve 0 = -y*a + h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -35*x. Let d(l) be the first derivative of -173*l**3\/3 - 7033. Give d(i(n)).\nAnswer: -211925*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10015 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: What comes next: -1918273, -3836511, -5754701, -7672849, -9590961, -11509043, -13427101, -15345141?\nAnswer: -17263169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2455200 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 177*x**2 - 4*x + 34. Let g(a) = 2*a**2 - 2*a + 17. Let l(v) = -4*g(v) + 2*w(v). Let c(t) = -3*t**2. Calculate l(c(z)).\nAnswer: 3114*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 681393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 314 = 42. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8701, 17407, 26113, 34819, 43525, 52231?\n\"Answer: 8706*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -11, -119, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11674, 15, -24?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**7\/105 - y**6\/60 + y**5\/5 + y**4\/3 - 8*y**3\/3 - 31*y**2 + 5*y. Let d(w) = 0. Calculate w.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1153212?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*5 + (sqrt(32) - sqrt(2))*4*-6)**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1943 + -1300. Let z = -294 + p. Is 54 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 2226.\nAnswer: 17808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 136 = 5*w, -5*w + 0*b = 5*b - 115. Calculate the greatest common factor of 26 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26405071, -26405069, -26405067, -26405065, -26405063?\nAnswer: -26405061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.5 - 6. Let b = -1.5 + j. Let a = b - -0.89. What is a rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075 times -461?\nAnswer: -34.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(-6)*g)\/g*g*g*g)\/g**(-7))**(-18) assuming g is positive.\nAnswer: g**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269, 594, 919?\nAnswer: 1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + 139 + -11 + -179.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 18*t**2 - 24*t + 28. Is r(11) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 79 = 3*w, -3*o + o - 50 = -2*w. Let x be 2\/8 + w\/(-76). Let q = x + 67\/95. Which is the biggest value? (a) -3\/2 (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120 - -119.96. Which is greater: m or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/88*11*-5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**3 - s**2 - 4*s - 3. Suppose 2*h = 12 - 4. Let g(b) = -5*b**3 - 2*b**2 - 5*b - 4. Determine h*o(w) - 3*g(w).\nAnswer: -w**3 + 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05325789516 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 2) + -8 + 1 + 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 31. Calculate the smallest common multiple of v and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -855965016*s**2. Let w(z) = 2*z**2. Calculate w(m(j)).\nAnswer: 1465352217231760512*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 * -92\nAnswer: -211.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 47774867 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 23*o. Let q(w) = -w**2 + 241*w. Give z(q(b)).\nAnswer: -23*b**2 + 5543*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + 4*g - 2*g + (-g + 2 - 2)*(3 - 5 + 1) - 4 + 1 - 9*g + 0 + (1 + 0 - 2)*(-5*g + 4*g + 3*g) as d*g + f and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*r + 7212, -2*r - 8 = 2*r. Is 8 a factor of a\/(-30)*-2 + (-6)\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24462633?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 42 = 4*m + 14, 5*m = 20. Suppose u*h + 5*r = 6, 0 = 2*r - 6*r + 8. Let c be -5 + (2 - h)\/3. Sort 2, c, -5.\nAnswer: -5, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 10, -n + 0*n - 3*m + 34 = 0. Suppose o = -0*o + 5*l - 5, 3*l = -5*o + 31. Suppose o - n = -2*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + (-50)\/15)*(-3)\/2. Let w be (33*38788 - i) + -2. What is w rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 9 + 11. Let y(o) = 2*o - 3. Let j be y(m). Suppose j = 2*f + 3*a, -3*f = 4*a - 9 - 1. Calculate the remainder when 7 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**2\/3 - 201227*h\/3 - 24257756 = 0?\nAnswer: -361, 201588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2015933?\nAnswer: 2015933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29164 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**4 - 2*k**3 - 2*k**2. Let g(q) = -4*q**3 - q**2 - 3*q**3 + 6*q**3 - q. Let m(i) = 4*g(i) - 4*r(i). Let m(j) = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -297, -301, -297, -279, -241, -177?\n\"Answer: d**3 - 2*d**2 - 5*d - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39, -152, -339, -600?\n\"Answer: -37*x**2 - 2*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171396 is divided by 170783?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353 + 335 = 8*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4502 and 3069475883.\nAnswer: 3069471381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -12*m**2 + 171*m - 45. Let o be p(14). Which is the closest to -0.059? (a) -0.5 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/84 - ((-11028)\/756 + 16))*2\/5.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*h + 28, 30*h = 5*w + 26*h - 96. Solve -3*n + 5*g + 35 = 0, -w = -4*n + 4*g + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/30 - (-6 + ((-136)\/(-48) - -3)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 438.5 - 439. Which is the smallest value? (a) m (b) -20 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -10361*n - 1376. Let v(t) = -20729*t - 2749. Let q(k) = 5*b(k) - 3*v(k). Differentiate q(m) wrt m.\nAnswer: 10382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 467666.8 milligrams to kilograms.\nAnswer: 0.4676668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*k - 33950, 8*k - 3*k = -40. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 34.6. Let v = -0.05 + -2.95. Which is the third biggest value? (a) -1\/3 (b) -9 (c) v (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9577015 years?\nAnswer: 11.492418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51048 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggy when three letters picked without replacement from yyylgfgyyfyyy?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297509?\nAnswer: 297509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 173\/4 + 5\/(-20). Let i = 2 - 5. Let d = i + u. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58733651057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 981453.3 decades?\nAnswer: 9814.533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3067 + 3068. Let h be 2\/(-4) + 73\/2. Let l be 33\/h + (-1)\/4. Sort l, -4, n in descending order.\nAnswer: n, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x - 17. Let k(r) = -2*r - 17. Give -5*c(w) + 6*k(w).\nAnswer: 3*w - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(5929) - sqrt(49) - sqrt(49)) + sqrt(245)\/sqrt(5)*2)\/(((-1*sqrt(84))\/sqrt(12) + sqrt(21)\/sqrt(3)*-3 + sqrt(7))*-2).\nAnswer: -11*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 148889 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -69. Let c = 2 + 2. Solve h + 9 = 4*u, i = 5*u - 0*h + c*h - 27 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 3*b + 4. Let z be h(5). Suppose -4 = -2*y - 2*d, y + d + 2*d = 4. Let j = -713 - -720. Solve -r = 3*p - z, -5*r + p = -j + y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9369.871um?\nAnswer: 0.9369871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2)*x*x)\/(x\/x**(-1\/11)))\/((x\/(x*x**(2\/7)))\/x**(2\/3)) assuming x is positive.\nAnswer: x**(199\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173467*a**4 + 15865*a**2 + 11 wrt a.\nAnswer: -4163208*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 2*m - 2*m + 4*m. Let k(x) = 53938*x**2 - 1043*x - 2086. Let o(l) = -155*l**2 + 3*l + 6. Let g(y) = 3*k(y) + 1043*o(y). Calculate g(h(c)).\nAnswer: 596*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, l: 4, z: 4}. Give prob of sequence zl.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m**3 - 35*m**2 + 19*m + 14. What is b(-4)?\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 442, 885, 1328, 1771, 2214?\nAnswer: 2657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -480, 2, 3, -5, -1380, 1.\nAnswer: -1380, -480, -5, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*j**3 - 115*j**2 + 4*j - 26926.\nAnswer: -39*j**2 - 230*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 - 1370*q + 2*q**3 + 319*q - q**2 + 0*q**2.\nAnswer: 2*q**3 - q**2 - 1051*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/24*-4*102. Suppose -3*o + 5*w = k, 0 = -5*o - w - 9 - 1. Let x(h) = -14*h - 3. Is x(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 141 = -194. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 36675 = -5*v + 18*p, -2*v = 5*p - 14699. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8907791, -8907784, -8907779, -8907776, -8907775, -8907776?\n\"Answer: -c**2 + 10*c - 8907800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 8:32 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 2. Let h be l(8). Suppose 2*b = -0*b + 3*t + 8, 3*t + h = 4*b. Suppose -2*u - b + 9 = 0. Solve 0*d + u*j = -d - 5, 5*j = 2*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -649386 divided by -387?\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13025?\nAnswer: 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from uuduuduuuuuuuduuuuuu?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 28 = 4*g, 4*z + 4*g - g = 23. Let o be (-18)\/2 - 6\/z. Let v = o + 27. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/701891356 and -23\/2.\nAnswer: 701891356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q**3 + 8*q**2 + 7*q - 1. Let n(a) = -16*a**3 - 16*a**2 - 14*a + 1. Let y(w) = -7*k(w) - 4*n(w). Give y(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**4\/4 - j**3\/3 - 315*j**2\/2 + 8791*j - 5321. What is the first derivative of w(g) wrt g?\nAnswer: 3*g**2 - 2*g - 315","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2011*v - 477*v = 3699*v + 4560*v - 309350 for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + f**2 - 2*f**3 + 2*f**3 - f**2 - f**3 - 3*f**3 + 2*f**3 - f**2 + f**2 + (3*f - 4*f + 3*f)*(0*f**2 + 0*f**2 + f**2) + 0*f**3 + 0*f**3 + 2*f**3.\nAnswer: 2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -333. Suppose 0 = -5*h + 138 + a. What are the prime factors of h?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1445*y**2 - 1465*y**2 + 3 + 2929*y**2 + 13*y wrt y.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18997 is divided by 398?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 89*w**4\/4 - 5*w**3\/6 + 31*w**2. Is o(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.7 from -17.7.\nAnswer: -28.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/15 and ((-14261)\/(-336))\/13 + -3.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -2\/13, 2\/17, 402, 0.05 in ascending order.\nAnswer: -30, -2\/13, 0.05, 2\/17, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/68 + (-815040)\/9792.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 14 = 4*c, -9*c = -4*m - 5*c - 8. Let g = 2\/531 - 541\/2655. Sort m, g, 0.4 in decreasing order.\nAnswer: m, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -18. Calculate the lowest common multiple of 2 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, s: 2, f: 2, m: 2, h: 3, i: 1}. What is prob of sequence hvi?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1657 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.3107 rounded to 0 dps?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, 5, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**7)**(-32))**47 assuming o is positive.\nAnswer: o**(-10528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 16685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w + 6*w)*(-1 - 2 + 9) + (-w - 2 + 2)*(-2 + 4 + 1).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 6*r = -5*z + r - 35, 6*r = 3*r + 105 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 62*l**4 - 341*l**2 - 63*l**4 - l**3 + 206*l**2 to the form q*l**2 + d + r*l**3 + w*l + g*l**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395764?\nAnswer: 2, 163, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than 17\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**5 + 12522*j**4 - 18307046*j**3 + 18282006*j**2 + 18307048*j - 18294528 = 0.\nAnswer: -1, 1, 2324, 3936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 885 and 208230765.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 231176.855 to the nearest 100.\nAnswer: 231200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1009740 * -0.025.\nAnswer: 25243.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -259\/2, 0.02, 419 in ascending order.\nAnswer: -259\/2, -0.5, 0.02, 419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 4*q - 37. Suppose 0 = -5*k - 10 - 0. Let j be (-1)\/k + q\/(-12). Is j at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**3\/3 + l. Let i be 2\/(-9) + 20\/9. Let c(h) = -4*h**2 + 2*h**2 + 2*h**i - h**2. Calculate c(z(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -23*o. Let h(y) be the third derivative of 0*y**3 + 1\/20*y**5 - 18*y**2 + 0*y + 0 + 0*y**4. Give x(h(m)).\nAnswer: -69*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181.86 + -175.86. Which is the fourth biggest value? (a) -0.7 (b) 10 (c) t (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o - 7. Let h(k) = 3*k + 4. Let i(x) = -7*h(x) - 4*p(x). Let j = -215 - -213. What is i(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70\/3631 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5173756 + -1?\nAnswer: 5173755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -35.7. Let w be (-62)\/651 + 47\/714. What is the second smallest value in p, 3\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 297*v - 296*v - 5, -3*v - 5*d + 1 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(117) + sqrt(117) + (sqrt(117) - sqrt(117)*2)) - 6*sqrt(117)*1)\/(sqrt(63)\/(sqrt(847) - (sqrt(847)*-2 + sqrt(847)))).\nAnswer: -198*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 7 = -a, 2*c - 18 = -0*a - 3*a. What is the smallest common multiple of 38 and a?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a factor of 65305033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10*v + 1255. Let g(p) = 8*p + 1236. What is -3*g(f) + 2*x(f)?\nAnswer: -4*f - 1198","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 159\/7? (a) 2 (b) 52 (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) -0.3 (c) -23.247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1.8 (b) 1\/11 (c) 19 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.065 + 0.019. Let r = -64.954 + y. Let c = -63.4 - r. Which is greater: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15*(3 + 0 - 1). Suppose -5*b - 5*u + s = -40, -5*b - 2*u + 67 = 0. What is a in -2*a + b*a**2 - 3*a + 2*a**2 - 15*a**3 + 5*a**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.106886 - 6623.993114. Round h to the nearest 100.\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -8. Let k be (14\/(-4))\/(1\/(-14)). Let m be (-2)\/14 - (-7)\/k. Sort v, 5, m in descending order.\nAnswer: 5, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-10) - ((-21)\/(-35))\/((-24)\/(-160))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 7:12 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from {k: 3, c: 1, b: 1, t: 6, l: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 616428 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (33*-9 - (1 - 1)) + 5. Let f = -286 - r. Let w be ((-1)\/(-3))\/(2\/18). What is the highest common factor of f and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 38*u**2 - 7*u + u**3 + 37*u**2 + 12 - 61*u**2. What are the prime factors of c(-8)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 38*x**2 - 11*x - 6. Let k(h) = -19*h**2 + 6*h + 3. Let a(q) = 5*k(q) + 3*m(q). What is the units digit of a(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5)\/l**(-6))**(-25\/2)\/((l**(-1\/2))**39\/(l**2*l*l**5)) assuming l is positive.\nAnswer: l**(-85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -182*u + 113. Let p be o(-4). Let v = p + -131. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s + 3*s**2 - s**2 - 150 - 22*s - 87*s + 0*s**2 = 0. What is s?\nAnswer: -1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 - 5*m**2 + 3*m**2)*(m - m + 2*m) + (4 - 1 - 2)*(-2*m**3 - m**2 + m**2) + 9 - 4*m**3 - 9 as p*m**2 + v*m**3 + f*m + l and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/4)\/((-2)\/8). Suppose 7*x + 0*x = 0. Suppose x = -u*d + 7*d - 100. What is the remainder when d is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20, -8, -74, -184, -344, -560, -838, -1184?\n\"Answer: -x**3 - 13*x**2 + 18*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-135)\/36)*-55*4\/(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**6\/60 - 37*v**4\/8 - 665*v**3\/6 - 40*v**2 - 9*v. What is the first derivative of u(k) wrt k?\nAnswer: -6*k**2 - 111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 754 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + g**2 - g + 14. What is m(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c4457 (base 16) in base 9?\nAnswer: -3433136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**5\/7 + 196*x**4 + 171128*x**3\/7 + 9144392*x**2\/7 + 174068868*x\/7 - 183385764\/7 = 0. What is x?\nAnswer: -111, -61, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/(-16))\/((-12)\/16). Suppose -3*l + 30 = 2*l. Solve -b = i*b - l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-38)\/30 - (-4)\/6. Let n(s) = -s**3 + 2. Let b be n(0). Let g be b*(-2)\/4*0. Is g at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**6*i**5*i*((i\/((i*i**(-1)\/i*i)\/i))\/i)\/(i*i\/(i**(-10)*i)) assuming i is positive.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/10)\/(((-22)\/((-3190)\/87))\/(-3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 625 = 331 + 198 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*6*(sqrt(117) - (sqrt(117) + -2*sqrt(117) + sqrt(117)))*-3 + -3 + 3 + (sqrt(117) - (1 + sqrt(117) + 3)))**2.\nAnswer: 432*sqrt(13) + 606529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 29*z + 30. Determine m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*2\/6 + 13. Suppose 26 = 6*c - u. Let m be -1 + 0\/1 + 9. Solve 0 = 5*s + 3*v - c*v - m, -3*s + 5*v = 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/((((i*i**(13\/4))\/i)\/i)\/i)*i**(-2\/41)*i\/(i**(-2\/39)*i)*i*i\/i**(-20\/3) assuming i is positive.\nAnswer: i**(60245\/6396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((68096\/114)\/64)\/((-1)\/6*1)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318226 is divided by 30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/1611 in 2, 3, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + sqrt(325) + -1 + sqrt(325) + sqrt(325)))**2.\nAnswer: 810*sqrt(13) + 26406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.34 - 6.66. Which is greater: 0.2 or c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407310537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 109*p - 109*p + 20 - 110*p + 336*p + 2*p**2 + 2*p**2. Determine w(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 336, 221, -70, -615, -1492, -2779, -4554?\n\"Answer: -13*y**3 - 10*y**2 + 6*y + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60881.\nAnswer: 23, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -17*d - 31. Let w be p(-2). Which is the nearest to 12? (a) -3 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44838 divided by -18.\nAnswer: -2491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -44006 - -12212381652?\nAnswer: 12212337646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*d**4 + 148*d - 290 with respect to d.\nAnswer: -20*d**3 + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 7:31 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 + -51. Find the common denominator of 37 and 2 + (-1 - w\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, -1\/12, 3\/8 in increasing order.\nAnswer: -1\/4, -1\/12, 0, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.24 - 3056605.5.\nAnswer: -3056603.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide (-10)\/16 + (-8)\/((-1216)\/7638703)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130 (base 6) in base 7?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 123.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 29) + (-29 + 22 - -17 - 17)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -424853\/28 + 45514\/3. What is the common denominator of 51\/56 and j?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqaqpqqpqpa. What is prob of sequence qp?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/336*7 - 669\/438.\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*j, 5*v - 3*j - 1758 = v. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -69.\nAnswer: 19\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a0 + 623b3?\nAnswer: 62313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from iilleelllliillllelll?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:42 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8124 (base 9) to base 8.\nAnswer: -13457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 25.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w**5 + 12*w**4 + 160*w**3 - 84*w**2 - 80*w = 0. What is w?\nAnswer: -4, -1\/2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2. Let f(i) = 4*i**2 + 4*i + 3. Let k(x) = f(x) + 3*s(x). Is 16 a factor of k(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 750 by -6.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 138450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 7*z + 3*z + 3*z**2 - z**3 - 13 + 5. Let w(k) = -2*k**3 + 12*k**2 + 20*k - 16. Let r(y) = 7*i(y) - 3*w(y). Solve r(x) = 0 for x.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2489 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 10. Suppose 0 = -4*h - 2*s + 7*s - t, s = -4. Let m(j) = -j - 2. What is m(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 127*c*j**2 + 7*c*j + 5395*c - 1052*j**2 - 146*j + 629 wrt c.\nAnswer: 127*j**2 + 7*j + 5395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002228777 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235901?\nAnswer: 235901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + 12. Calculate c(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/5 (b) -1 (c) 0.5 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-324)*28\/35*12\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 235457528 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 623595868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 871 in 1\/3, -3\/5, -27, -3\/2, -0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2\/8665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1117 + 1125. What is the nearest to -0.8 in k, 0.1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 5) in base 4?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22232229.\nAnswer: 3, 7410743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 27*r - 97. Let i be q(-29). Let a be 46*-1 + (8 - 5). Which is bigger: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 7*l**2 + 7*l + 4. Let w be y(-2). Let g(u) = -w + 28 + 230*u - 10 - 8. Let f(d) = -10*d. Determine 70*f(o) + 3*g(o).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 > -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**2 - 169939*o - 19594979 with respect to o.\nAnswer: -2*o - 169939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 - -50. What are the prime factors of u\/1*(-7)\/(28\/272)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*10.1.\nAnswer: -11.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(3\/2 + 45\/(-18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47.0172 + 0.0172. Let d = z - -46.99999233. What is d rounded to seven decimal places?\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-seven halves of a day?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*2*15\/(-6). Find the third derivative of 3*s**2 + s**2 - 15*s**5 + 17*s**i wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -27*d**3 - 2*d**2 - 3*d - 3. Let k(i) = -3*i. Let v be k(0). Suppose v = -q + 2*q + 2. Is b(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.2 - -21.2. Which is the closest to -2\/7? (a) -1\/3 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) -3\/7 (c) -3 (d) 0.226 (e) 4\/7 (f) 9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 39456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1646758?\nAnswer: 2, 577, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 1\/18 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -1110*a + 1108*a - 48, 3*d + 79 = 4*a for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/(-20) - 0)*12\/((-180)\/(-75)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21112.04751 rounded to 0 dps?\nAnswer: 21112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 290.97 - 291. Let x = 27 - 27.03. Let q = x - c. What is the third smallest value in -0.1, -2\/15, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/27 and (-3534)\/(-720) + (-2)\/10?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 101 = -5*d + 4*d, 5*d = 4*x - 131. Is 34 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 8\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -b - 12, -19*b - 2*r + 12 = -23*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -5. Let y = 27 - 26. Put y, -5, n in decreasing order.\nAnswer: y, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.84 + -1.017. What is l rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 o when three letters picked without replacement from {d: 4, y: 1, o: 5, j: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfzzzfzzfzzzzzzzzfzz. Give prob of picking 2 f.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-3 - 1 + 5)*(4*n - 4*n - 4*n**2).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 183*j**3*o**3*x**3 - j**3*o**3*x**2 - 55*j**3*o**2 - j**2*o**3*x**2 - 6*j*o**3*x**3 + o**3*x**2 wrt x?\nAnswer: 1098*j**3*o**3 - 36*j*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3580 = p, 3*a + 2*p = -310 - 2370. Let u = -535 - a. Suppose n - 3*m = 2*n - 123, -3*n - 5*m + u = 0. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -3*d - 10. Let c(g) = -1 + 1 + 5*g**d - g. Let i = -2 - -1. Determine c(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 s, and 2 v when four letters picked without replacement from {s: 5, v: 5, f: 3}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 1:59 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 321310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-161365)\/1641 - 168\/(-18).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*a = -47*a + 745 - 4693 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 461887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165 - 384 + 107 - 64*i + 114 to the form b + d*i and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-24)\/(-16)*(-130)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466.6222 millilitres in litres?\nAnswer: 0.4666222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -1. Let h = -14 - -39. Suppose 16 = 3*j - 4*g, 0*g = 5*g - h. Calculate the least common multiple of j and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m + 1. Let s be d(1). Suppose 0 = f + 3*x + 12, -x = 4*f + 3*x + 16. What is the units digit of f - (8\/2 - s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53410265429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**6\/15 - 3*j**5\/5 - 4*j**4 - 26*j**3\/3 - 9*j**2 - 11*j. Suppose s(h) = 0. What is h?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 3*u - 16, -33 = -2*h - 236*u + 243*u for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + -3*((0 + sqrt(1872) - sqrt(1872)) + sqrt(1872)) + 0 + 1 + sqrt(208) + 1)**2.\nAnswer: 66560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.025 times 0.1\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 8*l + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*k - 70 + 5*k + 70.\nAnswer: 43*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (0 - -1 - 1)) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134 - 1530. Let l = -791 - d. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -431 or -1297\/3?\nAnswer: -431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3*w**2 - 8*n**3 - 2608*n**2*w**4 - 11*n**2*w + 8*n**2 - 2*n*w wrt w.\nAnswer: -2*n**3 - 31296*n**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w + 1. Let a(y) = 4*y + 2. Let l(u) = 2*a(u) - 3*t(u). Let c be l(-3). Let r(m) = -m**2 + 5*m + 2. Calculate r(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1 - 4 + 2*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/sqrt(288) + sqrt(42) - sqrt(42))\/sqrt(6) + sqrt(7) + sqrt(252) + 2*sqrt(252) + 3 + -1.\nAnswer: 2 + 115*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z. Let a be j(1). Suppose b = a*b. Let u(g) = g**3 - g + 20. Let t be u(b). Solve -6*p = -p - t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9973.9 - -9974. Which is the nearest to 87? (a) -5 (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -491*m**2 - 526*m**2 - 540*m**2 + 1575*m**2.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*z + 24*z - 72*z - z as v + s*z and give s.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 1039869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 43 and 379.\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4095584 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 6 = 3*k, -2*k = -0*y + 2*y + 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/23132 and 37\/2?\nAnswer: 23132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 44 = -6*p, -3*l + p + 8 = -8. Suppose -4*y + 25 = y. Solve 0 = 3*o + 2*g + l, 0*g = -4*o + y*g - 17 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -4, -2\/3, -53?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from oobfibe?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (0 + -17 - (2 - -1) - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1664)\/3696*2*123\/(-4). Let y = -190\/7 + l. Let i = -1 + 2. Are i and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 8 (b) 5 (c) 4 (d) 15 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 15*y. Let h be f(15). Suppose 10*s - 11*s = h. Suppose 3*g + s*g = 651. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/24 + 49\/(-504)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 8 = -3*t, t = 3*t - 3*w - 18. Let s(p) = 45*p**3 - 65. Let z(r) = 4*r**3 - 6. Calculate t*s(j) - 65*z(j).\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 6:04 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01103754962 rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 12. Suppose 5*d + 17 = 22. Sort d, t, -9 in increasing order.\nAnswer: -9, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55099 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -17. Let r(i) = -226 - 7*i + i**2 + 234 - 2*i**2. What is the least common multiple of 20 and r(s)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 4*u - 0 - 2, -2*n - 2*u = 0. Suppose 15 = n*k + 4*f - 11, 3 = -k + 2*f. Let -t - 2*t**4 + t**k + 3*t**2 + 0*t**2 - t**2 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*p**5 - 181*p**2 - 2?\nAnswer: 6900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/53 - -1693\/159. Let k(x) be the first derivative of -24*x**2 + 18*x - 1 + o*x**3. Let k(i) = 0. Calculate i.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3730*j**2 - 708*j. Let d(c) = c. Give t(d(w)).\nAnswer: -3730*w**2 - 708*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**2*y)**(-16) assuming y is positive.\nAnswer: y**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -222 in 1\/3, -8, 0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -14*n + 5 + 14*n - 11*n. Let l = 1 - -4. Let a(c) = -39*c + 18. Let g(x) = -x**3 + 24*x**2 - 3*x + 54. Let f be g(24). Calculate f*j(s) + l*a(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 542962?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.908 to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13500 = -176441*h + 176580*h - 3631 for h.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6929 + 6920. What is the closest to 3 in 3, y, 2, 4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86813 is divided by 234?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 0 - 1\/20*v**5 + 5\/2*v**2 - 9*v - 1\/3*v**4 + 5\/6*v**3. Calculate p(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1356*q + 1306*q = 100. Which is the nearest to q? (a) 0 (b) 9 (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843041077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 13 = -4. What is the closest to 11 in 0.1, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400) - (3*sqrt(400)*-1 + sqrt(400))) + sqrt(400) + (-6*(sqrt(400) - sqrt(400)*-2) + sqrt(400) - sqrt(400)))\/(3*5*-1*sqrt(1152)).\nAnswer: 7*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*a, 2*l + 6 = -l - 3*a. Let v be (1 - (-4)\/(-2))\/(3\/(-12)). Find the third derivative of -34*m**l - m - 7*m**v + 22*m**2 + m wrt m.\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 85\/3. Let h = -765 - -761. Let o be (5\/10)\/(((-27)\/h)\/(-3)). Which is the third biggest value? (a) 0.5 (b) 0.1 (c) o (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/120*1*3\/30*24.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -262*g + 10636. Give s(41).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -102*a + 1354. Let g be u(13). Solve -d = -k, 27*k + 4 = -2*d + g*k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 - (-161 - -55) - -11.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**10*h**15*(h**5\/h)**43 assuming h is positive.\nAnswer: h**178","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*h = -42*h - 30*h - 8456259. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8060 + 8060 + 43*o**3.\nAnswer: 43*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 183 - 3513 = -22*f. Sort f, 16, -4 in decreasing order.\nAnswer: f, 16, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10301*u = 10296*u - 40 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 + -83. Let m(c) = -c**2 + 9*c - 4. Let w be m(7). Solve i - g*j + 10 = -i, 0 = 2*i + 2*j - w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 11. Let g be 2\/(-10) + 62\/t. Sort 2, g, 5 in decreasing order.\nAnswer: g, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4708, -881, -6470, -12059?\n\"Answer: -5589*r + 10297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2072*m - 413. What is the units digit of l(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 5*o**2 + o - 6. Let i be x(5). Let p be -4 + (8 - 3) - i. What is the third derivative of -9*a**5 - 7*a**5 + 3*a**p + 14*a**5 wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-42)*70\/(-60). Sort -1\/8, 0, d in ascending order.\nAnswer: d, -1\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12231211103 - -2?\nAnswer: -12231211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*u + 11*u - 2*u**2 - 43*u to the form y*u**2 + b*u + w and give b.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 19 = z + 2*v, 0 = -3*v + 6. Let k be (40\/(-6))\/((-10)\/z). Let x(g) = -g**2 + 12*g - 10. List the prime factors of x(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h + 5. Suppose 3*b = -b + 4*d, 2*b + 4*d - 24 = 0. Let r be x(b). Suppose r = 2*s - 1. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25.57 - 25. Let s = j + -0.47. Put s, -36, -3\/4 in decreasing order.\nAnswer: s, -3\/4, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-20))\/((-3)\/36). Suppose -z*h + 0*h = 0. Solve b + h + 1 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/1 + (-4 - -7 - 7). Calculate the common denominator of 23\/45 and (c\/18)\/(42\/(-20) + 2).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13716387 and 7248?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/538 and -79\/8?\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45 - -2) + -45 - -42.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(125)*4 + 4)*-5)**2 + 2.\nAnswer: 24000*sqrt(5) + 1800402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1452228173 to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -234, -3, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36749217 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242937 (base 12) to base 9.\nAnswer: -1082017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v = -18 - 36. What is the nearest to 22.3 in -2\/5, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/10)\/h**5)\/(h**(1\/3)*h*h**(-1\/7)))\/((((h*h**(1\/4))\/h)\/h)**(24\/13)*(h**(1\/3))**(2\/39)) assuming h is positive.\nAnswer: h**(-40319\/8190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -8972\/17 equal to -527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 84338 + 23872?\nAnswer: 108210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(60)\/sqrt(2) - sqrt(30) - sqrt(300)\/sqrt(40))\/(-1*sqrt(6)*-1 + sqrt(6) + 2*sqrt(600) + sqrt(6)) + 4)*-4.\nAnswer: -16 - 14*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*s - 122*s - 79*s + 17*s - 47*s to the form r*s + v and give r.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 - 4*a**3 - 16*a**2 - 5*a - 3 + a**2. What are the prime factors of w(-15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*w - 1 = 0, -3*a + 4*a = 4*w - 10. Let b be (a\/(-5))\/((-6)\/(-165)). Let l = b + -18. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11 + (-2261)\/(-209) - 200\/(-11). Solve -r*c - 26 - 10 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + v + v = -12, d - 3*v - 3 = 0. Let f(a) = -a**3 + 5*a**2 - 2*a - 2. What is f(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(13) - (-5 + sqrt(208) - sqrt(13))).\nAnswer: -2*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -9, -1\/6, 2\/93?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 17, -4\/5, -6\/107, 24?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 1:15 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -101057 (base 10) to base 14\nAnswer: -28b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 99 + 107 = 0. Let q be -4 - (39\/(-3) + 4 + s). Solve -13*b + 10*b - q = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(325)*-2*3 + 3 + sqrt(325) + 1 + 1)*-6)*-5*5)**2.\nAnswer: -6000000*sqrt(13) + 183452500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 5) + (104 - 119)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -37 - 119. Suppose 0 = 2*k + 3*k - 250. Calculate the remainder when k is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 6) in base 2?\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -2\/18999879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 4*m - 23. What are the prime factors of s(-13)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvw when three letters picked without replacement from vvwtttvtdtiv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1122112 (base 3) to base 14\nAnswer: -61c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5032*l**3 - 5 + 9395*l**3 + 5)*(0 + 0 + 3*l) in the form g + n*l**3 + w*l + k*l**2 + j*l**4 and give j.\nAnswer: 13089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - k = 21 + 21, -k = -3*n + 24. Solve -42 = -17*h + n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/512 and 52\/4608 - (-31)\/279.\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9524.375ml?\nAnswer: 9.524375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(700) - (2 + sqrt(700))**2)*-4 - sqrt(70)\/(sqrt(10) - 1*sqrt(10)*4)).\nAnswer: 361*sqrt(7)\/3 + 2814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 530 and 24240?\nAnswer: 1284720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 2, 7\/1700, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77 + 46 - -14) + (3 - -30).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1129149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.11 (b) -8 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -183? (a) 1\/6 (b) 4 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (-20 - -2) - (16 - (1 - 1))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -38, -75, -112, -149, -186?\n\"Answer: -37*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 5:53 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5009*t - 25165. Give c(-5).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319178.7 millilitres to litres.\nAnswer: 319.1787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*x + 46*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.0371 (b) 2\/11 (c) 5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -81066587*v**2. Let u(z) = -6*z. What is n(u(m))?\nAnswer: -2918397132*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*c**4 + 2*c**3*n**3 - c**2*n**3 + 26*c*n**3 wrt c.\nAnswer: -1032*c + 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -11*m + 338. Let a be (-5 + 2 - -11) + -8. List the prime factors of p(a).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**5 - 36*d**4 - 120*d**3 - 184*d**2 - 132*d - 36.\nAnswer: -4*(d + 1)**3*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -693 + 359854?\nAnswer: 359171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 at least as big as -150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-115)\/(-483)*-9*2\/6\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18 - g**2 + 202*g + 116 - 27 + 151 - 19.\nAnswer: -(g - 203)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 21. Let l(x) be the third derivative of x**5\/30 + 3*x**4\/4 + 3*x**3\/2 + 4*x**2. Let k be l(-12). Calculate the highest common divisor of o and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 - -198. Calculate the greatest common factor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10750 bigger than -10761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -1453?\nAnswer: -1504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -17*j + 6. Suppose -v - 12 = -4. Let d(h) = -6*h + 2. Let z(l) = v*d(l) + 3*o(l). What is the units digit of z(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 3*r + 1. Let y be ((-3)\/(-3) - 2)*-4. Suppose 2*k - k = u - 4, 5*u + 16 = -y*k. Determine p(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*z**4 - 20549*z + 3*z**3 + 0*z**3 + 20547*z as k*z**4 + b*z + i*z**3 + r*z**2 + t and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 4*d**2 - 2*d - 2. Let q be g(2). Let l be (q\/(-15))\/((-2)\/5). Let w = 5 - l. Let o(i) = -2*i**3 + 3*i**2 - 3*i + 2. Calculate o(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - l**3 + 9*l**2 - l**3 - 11*l**2. Calculate m(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 12*z**2 + 12*z + 13. Let o be v(-11). Let f(u) = -84*u**2 + o - 7*u - 1 + 85*u**2. List the prime factors of f(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.82114579 plus -52641?\nAnswer: -52605.17885421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*f + 4*d, -4*d = -2*f - 5*d + 57. Suppose -3*n - 46*m + 8 = -41*m, -32 = -4*n + 4*m. Calculate the greatest common divisor of f and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10450374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79016154 by -3.\nAnswer: 26338718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)\/(v\/(v\/(v\/v**(-2\/3))))*(v\/(v\/(v\/(((v**(-4)\/v*v)\/v)\/v)*v)))\/(((v**1\/v*v)\/v)\/v) assuming v is positive.\nAnswer: v**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14056 is divided by 1276?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**2*y*y*y\/(y*y**(-5\/9)*y))\/(y**(2\/27)\/(y\/(y\/(y\/y**1)))) assuming y is positive.\nAnswer: y**(13\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.26 + -0.128. Let f = -0.132 + i. Which is the nearest to 0.06? (a) 1 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -4) + -3 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 4*z**2 + 2 - 12*z**2 - 57*z**2 - 13*z**2 + 2*z as k*z**2 + y*z + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y + 5. Let z(n) = n**3 - 4*n**2 - 3*n. List the prime factors of z(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 - 0) + 37\/(814\/858). Which is the third biggest value? (a) 1\/5 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11165588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 + -39. Suppose 26 = b - v. Suppose 225 - b = 4*a. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/8)\/4*25?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0*z - 3*z)*(-1 + 14 + 12) - 5 + 5 + 2*z.\nAnswer: -23*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76381 plus 0.48?\nAnswer: 76381.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7650153 rounded to the nearest one hundred thousand?\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 0*s**2 + s**2 + 60 - 120 + 60. Let u(z) = z - 79. Determine u(t(x)).\nAnswer: x**2 - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q + 1185 - 613 - 620 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c + -3?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -359e0f + -21?\nAnswer: -359e30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = t + 7. Let c be (-2)\/(-2) + 131525\/(-34090). Let m = c + 1\/974. Calculate the common denominator of t and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*m - 545525*g**2 - 1495732*m wrt g.\nAnswer: -2*g*m - 1091050*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, y: 1, b: 2, r: 1, t: 5, u: 4}. What is prob of sequence yu?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 105 = -2*i - 20, 0 = -2*c + 10. Let g be 7\/i*2 + 111\/5. What is the greatest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -4 - 8) + 9\/1. Suppose -c*f - 11 = -5*p - 6*f, 5*p + 2*f = 7. Solve -2*u - p*v = 6, -5*u - v - 2 = -0*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -14*i + 123486 + 288458. What are the prime factors of i?\nAnswer: 2, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**5\/x))\/(x*x*x**(-5\/6)*x*x) assuming x is positive.\nAnswer: x**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -158, -545, -1298, -2537?\n\"Answer: -20*b**3 - 3*b**2 + 8*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/(-15)*(-5 - 35\/(-10)). Let p = -22\/21 + -17\/84. Which is the third smallest value? (a) 1\/3 (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 49140737919 and 0.33?\nAnswer: 49140737918.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**6\/15 - 14*d**5\/5 + 101*d**4\/6 - 122*d**3\/3 + 48*d**2 - 4886*d. Suppose q(k) = 0. What is k?\nAnswer: 1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89983723337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -27. Let z(g) = -g**3 - 8*g**2 - 7*g + 3. Let s be z(-7). Suppose -4*f = -r + s. Solve -1 = -3*y - q - 5, 0 = f*y + 4*q + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-2))\/2*(-149)\/(-149)*-12\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -125. Suppose -4*d + y = -54. Let w = -19 + d. What is the highest common factor of w and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -95. Let j be 6 + (0 - (-1 - -3)). Suppose o = j*o + t. Round o to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + o. Let d(m) = -2*m**4 - 3*m**3 - 2*m**2 - 3*m. Suppose 2*q - 3*q = 3. Let x(f) = q*w(f) - d(f). What is the third derivative of x(u) wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 1. Let s be l(-5). Suppose -2*q - s = -n, -n + 24 = 2*n - 3*q. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140 + -138 - (4 - 18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 - 45 - (0 + -6)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -11*q + 15*q. Let n = q - -9. Let t = 87 - 610\/7. Which is the third smallest value? (a) -0.2 (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1554865 is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -381 + 380.388. What is c rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06679 - 0.03321. Let c = -0.94 - 0.06. Sort c, -4, a, -1\/7 in ascending order.\nAnswer: -4, c, -1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3\/8, 0.09, 0.5, -4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**5 - 75988*h**4\/9 + 53509532*h**3\/9 - 1400255084*h**2 + 22211729296*h\/9 + 5558862832\/9 = 0.\nAnswer: -2\/9, 2, 703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:54 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 205500542 - 2?\nAnswer: 205500540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*m + 19*m - 240*m.\nAnswer: -259*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 257751 - (3 - 7)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17086 or 17084?\nAnswer: 17084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -20 - (-8 - -12) - 27?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - -7) + 2 + 162. Suppose -4*s = -j + 56. What is the units digit of 1\/(30\/s + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2177 is divided by 91?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/5)\/(1\/30). Suppose -r = -h - h. Suppose a + a = h. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1 = 4*n + 3, -5*b + 17 = -4*n. Let h = -2980\/63 - -436\/9. Let 2\/7*m**n + h + 8\/7*m = 0. Calculate m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(66)*-1 + 4*(sqrt(66) - (2*sqrt(66) + sqrt(66))))\/((-1*sqrt(30))\/sqrt(5) + sqrt(36)\/(sqrt(6) + sqrt(6)*-2)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/78*10*-3. Let a(h) be the first derivative of -20\/3*h**3 - 6*h**4 - 3*h**2 - 1\/3*h**6 + 0*h - 12\/5*h**5 + l. Find z such that a(z) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-18)\/(-8))*246\/164. What are the prime factors of (y\/(-15)*3)\/((-2)\/(-2470))?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 300*d**2 - d - 2. Let i be q(-1). What is the highest common divisor of 39 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u = 3*n + 10, -3*n = -4*u + 50. Let m be -3*(4 + 40\/(-12)). What are the prime factors of (4\/n)\/(m\/60)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2 + 77068*j + 3549360 = 0. What is j?\nAnswer: -46, 38580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and -0.12.\nAnswer: 0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51 and 0.09.\nAnswer: 4.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28522592471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/20 and -119\/25566.\nAnswer: 255660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 11. Let t = -4.03 - -4. Which is the second biggest value? (a) t (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(1 - 1 + 2*g) + g - 2*g - g + 10*g - 8*g - 7 - 7*g.\nAnswer: -9*g - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(612) - (sqrt(153) + sqrt(153)*-3 + sqrt(153))\/sqrt(9)).\nAnswer: -14*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - z - 2*z = 0, -d = -2*z. Suppose d = 4*u - 21 - 207. List the prime factors of u.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(72\/(-1110))*(10\/(-5))\/(410\/(-123))?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n = 228 + 203 - 175 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31.4 - -31. Let p = -2 + 1.95. Let k = -3.05 - p. What is the third biggest value in 0, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8086 + 15605 = -633*a - 9572 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001934123723 rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 506*k**2 + 20.\nAnswer: 506*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a**3 + 14*a**2 + 4*a - 4. Let l(m) = 15*m**3 - 29*m**2 - 9*m + 9. Give -9*g(i) - 4*l(i).\nAnswer: 3*i**3 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**7\/630 - n**6\/40 + 7*n**5\/60 - 19*n**4\/72 + n**3\/3 - 9*n**2. Factor b(a).\nAnswer: (a - 6)*(a - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1136576.26 to the nearest 1000.\nAnswer: 1137000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 86537383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/10676 or 1\/5?\nAnswer: -3\/10676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + -5 + sqrt(320) + 1 - (-4*1*sqrt(320) + sqrt(320)) - (1*sqrt(320)*2 - 5*(sqrt(320) + 0))) + -4 + -5)**2.\nAnswer: -1664*sqrt(5) + 20649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, t: 2}. Give prob of picking 4 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**4\/12 + 35*d**3\/6 - 21*d**2\/2 - 108*d - 2. Let c(f) = 7*f - 4. What is 11*c(b) - 2*g(b)?\nAnswer: -2*b**2 + 7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 8822800 to the nearest 100000.\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 89 = 8*j - 10, -3*j = -5*k - 1 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/23)\/z**(-1\/17) assuming z is positive.\nAnswer: z**(57\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-10 + 1\/(-1)). Let b = 24 - k. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 9*q + 12. Let t be x(-9). Let n be (2\/3)\/(t\/54). Solve 0 = 5*i + 5*o + 20, -2*i - n*o + 0*o = 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 3*c. What is the units digit of o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+7548\nAnswer: 7548.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-9))\/(k\/(k\/((k\/(k*k*k**7))\/k*k))))**(6\/7))**(-50) assuming k is positive.\nAnswer: k**(-5400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 38*f - 309. Determine l(14).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60, -29, -128, -243, -380, -545, -744, -983?\n\"Answer: -j**3 + j**2 - 85*j + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.9, -1, 11.33?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.0742 + -824.8748. Let v = p + 835. Let g = -0.149 - v. Which is the smallest value? (a) 0 (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -13*l**2 + 3*l - 17. Let f(h) = 7*h**2 - 2*h + 9. Let u(b) = -11*f(b) - 6*s(b). Calculate u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, w: 9, u: 5}. Give prob of picking 2 g.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2200120, -2200082, -2200044, -2200006, -2199968, -2199930?\n\"Answer: 38*j - 2200158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.38 - 1.58. Let d = -0.04 + i. What is the nearest to 0 in -3, d, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230418833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-513)\/(-99) - (-4)\/(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = d + 83, 4*d + 45 = 5*m - 105. Let p = m - -6. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i. Suppose 5 - 1 = -2*z. Let l(r) = r**2 + 4*r + 4. Let k(v) = z*h(v) - l(v). Does 2 divide k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164 and 21992154?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -200210 (base 3) in base 8?\nAnswer: -773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11849 or 11847?\nAnswer: 11849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (366\/1586)\/(3\/78).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18918211*d**2 + 25372814*d?\nAnswer: -37836422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*c + 4 + 3 + 1 - 5 + 49*c to d + i*c and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 151*r**2. Let m(i) = 2*i - 613. Give m(u(a)).\nAnswer: 302*a**2 - 613","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2065517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 596631?\nAnswer: 3, 7, 28411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 7*h**2 + 6*h + 4. Suppose 0 = 4*l - 0*l + 16, 3*k - 4*l = -2. Determine y(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -415\/1155659 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -883 by 13.\nAnswer: -883\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l + 24 = 32*l. Suppose -3*d + 13*t - 10*t = -261, -l*t - 77 = -d. What is d rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/1296)\/(1\/18)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*l - 39 - 2 = 0, -5*n + 4*l + 100 = 0. Let g be -8*1\/((-2)\/n). What is g rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260 divided by 260.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/5 + 56804*t**2\/5 + 809110629*t\/5 + 69164027766\/5.\nAnswer: (t + 86)*(t + 28359)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 + 111*n**2 + 1588*n + 1756. Calculate h(-30).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > 12777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llppplpppppplp. What is prob of picking 4 l?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.31 + -8.8. Let c = 5257.4877 + -5258. Let f = y + c. Round f to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43 times 0.33659?\nAnswer: -0.1447337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 71\/(-710) - 172\/(-120)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*m + 32*m - 16*m)*(0*m + m + 0*m) - 39*m**2 - 104*m**2 + 32*m**2.\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 5:48 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 - 13*p**3 + 3637*p**2 - 1320*p**2 - 1196*p**2 - 1356*p**2 to f*p + n*p**3 + a*p**2 + g and give a.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18987b - 2?\nAnswer: 189879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 10:44 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + t. Let f(z) = -8*z**2 + 5*z. Let q be (1 + -2)\/(16\/(-160)). Let n be (q\/(-4))\/((-1)\/2). Calculate n*l(s) - f(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.8 * -165.205.\nAnswer: 1123.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -16?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1147120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 115282768 divided by -6\nAnswer: -57641384\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4073, 6, -4, 1 in increasing order.\nAnswer: -4, 1, 6, 4073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 17*w**2 - 23*w - 1. Determine l(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*f - 175*f + 4 = 0. Which is the second biggest value? (a) f (b) -1\/3 (c) 3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -3. Let h be (-10)\/((-40)\/6)*4. Solve -1 = -v*q - h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.19. Let p = -0.39 + v. Let y = -18 - -17.5. What is the closest to -1 in -3, y, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.048 - 1.048. Which is the third smallest value? (a) y (b) 4 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + 1169a893?\nAnswer: 1169a886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 931 (b) 61 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -32 - (-6 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*l - 313 + 75*l - l**3 - 6*l**2 - 34*l.\nAnswer: -l**3 - 6*l**2 - 313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 38*k - 35*k - 45, 0 = 2*k + 5*f - 6. Calculate the least common multiple of k and 32.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*m - 31, -2*b - 2*m - 18 = -0*b. Suppose 0 = -3*g - 39 + 48. Let t = g - b. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f + 27. Let a be q(-7). Suppose -h = a*h - 371. List the prime factors of h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -661.9017 rounded to the nearest integer?\nAnswer: -662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.400042 + -0.4. What is x rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 285462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 m when four letters picked without replacement from {m: 7, z: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 53, 126, 215, 308, 393, 458, 491?\n\"Answer: -2*o**3 + 26*o**2 - 19*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 42 = -5*y. Suppose c - y = -3*x, c + 2*x + 9 = 3*x. Which is bigger: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.07974035\nAnswer: -0.23922105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15032 and 43697.\nAnswer: 656853304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 559 and 67148671?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 269145 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27\/14 + -25\/42. Which is the second smallest value? (a) o (b) -2 (c) 2 (d) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -t - 4*c + 19230, -38462 = -2*t - 3*c. Let m(r) = -19235*r + t*r - 3 + 3. Let v(g) = 13*g**2 - 11*g**2 + 16*g + 0*g. Give m(v(p)).\nAnswer: -2*p**2 - 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -17180 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2383 + -2371. What is the smallest common multiple of i and 1282?\nAnswer: 7692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -1552, -73\/3 in decreasing order.\nAnswer: 2\/15, -73\/3, -1552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69.6 - -61. Let n = 9 + g. Let j = 9\/5 + -8\/5. Which is the biggest value? (a) j (b) n (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 20 = -5*t, 3*t + 0*c + 42 = -3*c. Suppose 2*d + 2*z = -4, -d - 8 = -0*d + 4*z. Suppose k + 3*i + 2 + 1 = 0, d = 2*k - 3*i + 24. Is t at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -20*r - 39. Calculate the remainder when 404 is divided by p(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11a - 41728?\nAnswer: -41609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.53639722 and 4.\nAnswer: 3.46360278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111210 (base 5) to base 8.\nAnswer: -7532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10572 - 6*a**2 + 10572 + 9746*a + 1466*a**3 + 5*a**2 wrt a.\nAnswer: 8796*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15062*p*u**5 - 13600*p*u**2 - p*u + p + 75344440*u + 2 wrt u.\nAnswer: -301240*p*u**3 - 27200*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6713605.\nAnswer: 5, 937, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1691335 is divided by 736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 12*f**2 + f + 6. Let x be j(-12). Let t(c) = -3*c**2 + 2*c + 2. Let h be t(2). Is x at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - -2b?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and 13.35.\nAnswer: 9.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 x, and 1 a when three letters picked without replacement from {a: 2, r: 1, c: 4, x: 2, k: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16740 (base 10) to base 9.\nAnswer: -24860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*k + 19 = 0, 7*k - 3*k = -20. Let l be f\/2*(-20)\/45. Put 1\/5, -4, l in decreasing order.\nAnswer: 1\/5, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**6)\/o*o**4)\/(o**(4\/9)\/(o\/o**(-2))) assuming o is positive.\nAnswer: o**(113\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*p + 20197*p**2 + 80*p - 162*p - 85229*p**2.\nAnswer: -65032*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 33 * -0.9\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 3.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-4 - 6\/3). Suppose 0 = -5*b - 10. Sort b, k, -1.\nAnswer: b, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7}. What is prob of sequence jj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 240 (base 5) to base 2\nAnswer: 1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 10:10 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 11*w + 2. Give b(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(12\/3) + 1 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (80 - 35) + -5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 21. Solve -k*h = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5 = 0, -2*l = -w - 2*w + 4. Is w greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139.4291 - -141.18. Round k to two dps.\nAnswer: 1.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 9*w = 14. Find the common denominator of w and -40\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22052208*h + 25728220.\nAnswer: 22052208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(102))\/sqrt(6) + -1.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 960 divided by -40.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7417, -29674, -66767, -118690, -185437?\nAnswer: -267002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 504253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -14\/3*r**4 - 128\/3*r + 0 - 24*r**3 - 1\/3*r**5 - 160\/3*r**2 = 0. What is r?\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - 483\/(-21)) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586770086.\nAnswer: 2, 7, 463, 90523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/13)\/w**(2\/71))\/((w\/w**(1\/3))\/w*w)**(3\/8) assuming w is positive.\nAnswer: w**(109\/3692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 116\/20 - 16\/20. Which is the closest to 2? (a) -3 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 2:35 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 29*h - 1692. What is k(59)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 4903125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, 0, -14, -44, -96, -176?\n\"Answer: -v**3 + v**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 9:48 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12950208*l**2 - 13538805.\nAnswer: 25900416*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -4*t - 30 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2425 - 243?\nAnswer: 2142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001059 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3741 - 3740. Let k = -8 - -8. Which is the fourth biggest value? (a) k (b) z (c) -2\/13 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -528551.339 to the nearest one thousand.\nAnswer: -529000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 5*h - 33, 0*z = -z + 3*h - 11. Suppose 0 = -2*q - r - 464, z*q + q + 5*r = -1170. Let c = 330 + q. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 15 = -0*l. Let p be -72 + (-2)\/l*3. Calculate the common denominator of 35\/2 and (-2)\/(-3) - p\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -13017*t + 38445. Calculate i(3).\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -33*n - 325. What is i(-13)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21575, 21699, 22037, 22697, 23787?\n\"Answer: 18*u**3 - u**2 + u + 21557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-45)*2*-5. Suppose 0 = s + 3*s - m. Suppose -13 + s = -4*q. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 80*y**2. Let m(b) = 4 - 17488*b - 9 + 17489*b. Give m(z(c)).\nAnswer: 80*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50762 * -1.\nAnswer: -50762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 12*r + 2 = 0. Suppose -r*n = 8, -x + 5*n + 8 = -4*x. Find the first derivative of -6 - 14*v**4 - 4 + 3 + 2*v**x wrt v.\nAnswer: -48*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(315)\/sqrt(80) - (sqrt(1575) - (sqrt(1575) + sqrt(1575)*2)))\/(sqrt(900)*1 + sqrt(900)*-2).\nAnswer: -41*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 8*h**2 + 7*h - 9. Let m be p(-9). Is 3\/m - 82\/(-6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/((w**21*w)\/w))*w\/((w\/w**10*w)\/w) assuming w is positive.\nAnswer: w**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94\/2265 and 9\/19.\nAnswer: 43035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 345 - -20?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*p**4 + 54*p**3 - 8330*p?\nAnswer: -408*p**2 + 324*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281 - 239 = -4*f + 2*m, 4*f + m + 19 = -26 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8540 rounded to the nearest 100?\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-4)*4\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - -17. What is the second derivative of 12*w**3 - 7*w**3 - 37*w**3 + v*w wrt w?\nAnswer: -192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 0*t - t. Let y be 32\/(-14) + (-2)\/(-7). What is o(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1124986.11 rounded to the nearest 1000?\nAnswer: -1125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 31. What is the nearest to d in 2\/5, -0.2, -2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4545, 4544, 4543, 4542, 4541?\n\"Answer: -t + 4546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-13)\/4)\/(3\/(3*-12)) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 590270 to the nearest ten thousand.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68960?\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38973191 and 0.02133.\nAnswer: 38973191.02133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2 and (-2*(-4)\/(-40))\/((-112)\/(-721)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5333*h = 5487*h + 6006 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -13 - (0 - (0 + 9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - o**2 + o - 5. Let s be h(-4). Suppose 4*l - 42 = -3*t, 11207*l = -4*t + 11209*l + 12. Calculate the highest common divisor of s and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -217663\/40 + 5440. Find the common denominator of l and 71\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -3\/4 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101286177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 85 = 5*a + 67, 7*a - 124 = 17*a - 6*a + 2*y for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnnnhnnnnnhnnzhnhhn. What is prob of picking 1 h and 1 n?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.24927 centuries to decades.\nAnswer: 632.4927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185727 - -79665.5991.\nAnswer: 265392.5991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3 and (-1692)\/648 + 0\/(-1) + 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 6. Suppose 0 = -o*w + 13 + 2. List the prime factors of w + (0 - -2)\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11 + 9)*2190\/(-12) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -196, -460, -230, 1046, 3920, 8944, 16670, 27650?\n\"Answer: 92*v**3 - 305*v**2 + 7*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1960 - 1235. Suppose 8*u - n = -85. Suppose -19*z + 15*z + u = 0. What is the remainder when z is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168.0938l to millilitres.\nAnswer: 168093.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*l**3 + 12*l**3 + 4*l**2 - 2*l**5 - 26*l**4 + 38*l**4 - 4*l - 26*l - 16.\nAnswer: -2*(l - 8)*(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:18 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 - 0. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -5*k + 14, 4*k = -3*l + 5 + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**2*l**3 - 2*j**2*l**2 - 2*j**2 - j*l**3 - 5*j*l**2*q + 7*j*l**2 + 759*l**3*q - 2*l*q wrt l.\nAnswer: 6*j**2 - 6*j + 4554*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -81 - -4 - (-4044 - -3965)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/30*(-4)\/28. Let x = -9\/70 - p. Which is the closest to -0.1? (a) x (b) -0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q - 9 + 52 - 1 = 0. Solve 6 = -3*m, -q*t + 3 - 5 = -4*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 203845\/266 + -1533\/2. Let c = -253\/266 - b. Which is bigger: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m - 3*m + 6*m)*(4*m**2 - 3*m**2 - 2*m**2)*(-1767 + 1767 + 79*m) to the form f*m**3 + r*m**4 + h + i*m + b*m**2 and give r.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*((-5)\/5 + 0). Solve -5*c + 5*y = -0*y - 20, -14 = -v*c + 2*y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -186857, 1 in decreasing order.\nAnswer: 3, 1, -4, -186857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.9 - 4.9. Let r = 2 + -2.1. Let d = r - -0.3. Which is the third biggest value? (a) 2\/11 (b) g (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.59691 - -0.6524. What is i rounded to three dps?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-9)\/4)*(-5 - -20). Solve d = 4*u - 5*h, 0*u - h = 2*u - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*u = u + 9, -4 = -4*q + 4*u. Let t = 5 - 5. Suppose t = w + 14 - 28. What is the remainder when w is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -1. Suppose 4*i + p = 3*i. Let d(u) = -209*u**3 - 5*u**2 - 6*u. Let z be d(i). What is z rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 631070*s**3 + 14567033*s**2 wrt s.\nAnswer: 3786420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -2*j - 31 + 8, -5*p = -2*j + 27 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*t**2 - 2*t + 2*t + 61*t**2 to the form o + m*t + k*t**2 and give k.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10145*m**5 + 41*m**2 - m - 17 wrt m?\nAnswer: -608700*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 626 and 4198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 6*t**2 + t - 4. Let z be k(6). Solve -2 = n - 3*c, -3*n = -n - 3*c - z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69234566 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128972446*q**2 + 97029917 with respect to q.\nAnswer: -257944892*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 13*v**2 + 15. Let d be n(13). Suppose -2*j = -6, 5*q - j - 7 - d = 0. Solve q*c + 0*c = -4*a - 3, 3*c = -3*a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-16)\/(-28) - 2. Which is the third biggest value? (a) r (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Solve k - 12 = -3*b, 35*b - 12 = 3*k + 32*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**3 - 8176*f**2 - 165204*f + 173376 = 0.\nAnswer: -21, 1, 2064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941156 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 526\/38 - 1224\/(-7752)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -317*p + 3946*p + 2551*p - 651*p + 3955 - 135*p wrt p?\nAnswer: 5394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -135*p + 2818. Let m be w(21). Which is the second smallest value? (a) m (b) 3\/2 (c) 21 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -108 - -101 - -10*1. Put -341, -2, -4, s, 4 in ascending order.\nAnswer: -341, -4, -2, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453725521 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 848108744 divided by -28\nAnswer: -30289598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a + 6. Let b = -30 + 26. Let y(o) = -7*o - 6. Let v(n) = b*f(n) - 5*y(n). Let i(q) = -q - 1. Give 4*i(z) + v(z).\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**8\/168 - c**7\/105 - c**6\/20 + c**5\/6 - c**4\/6 + 2*c**2 + 49. Factor h(g).\nAnswer: 2*g*(g - 1)**3*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2.4. Let n = s - 3.4. Let w = 0 + n. What is the second biggest value in 2, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d = 3*y + 4, 0 = -4*d - 5*y + 67. Let u(r) = -r**2 + 16*r - 19. Let f be u(d). Suppose 13*j + 1407 = f*j. List the prime factors of j.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 - 14*x = 0. What is x?\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/4 - 16*b**4 - 325*b**3\/2 - 130*b**2 + 649*b\/4 + 146 = 0.\nAnswer: -8, -1, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 + 0*f**3 + 0*f**3 + (460*f - 125*f + 169*f)*(1 - f**2 - 1) - 3*f**3 + 3*f**3 + 2*f**3.\nAnswer: -501*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - 6\/(-3))*-1. Let y be (-5)\/(-1) - (3 - f). Solve -y*w + 8 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2) - 15*9\/(-81)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2455414 - 52*k + 2455414.\nAnswer: -52*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38063057?\nAnswer: 3313, 11489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 19 = y, -5*d + 16 = -2*d + 4*y. Suppose 0 = -d*p + 8 + 12. Suppose -41 = -p*c + 109. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*i = -80*i - 4068. Does i = -1018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/4 of a decade?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10813410157.100012 + 10813391748. Let b = d + 18410.1. Let m = b + -1. What is m rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 9*s**3 + 217*s**3 + 73*s**3 + 6.\nAnswer: 281*s**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - n**3 - 2*n**3 - 24 + 42 + 19 to the form f + j*n**2 + x*n**3 + t*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/(-290))\/(2\/10)*(-4)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 5*t, -297 = -5*t - 9*j - 197 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 99*t**2\/5 + 528951*t\/5 - 32058\/5 = 0. What is t?\nAnswer: -5343, 2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z + 23. Let i be n(9). Let j = -46 + i. What is the lowest common multiple of j and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Suppose 3*r + 5*a = 59, 3*r + t*a - 97 = -r. Let p = r + -10. Calculate the remainder when 53 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31059, -62089, -93123, -124161, -155203?\n\"Answer: -2*o**2 - 31024*o - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -1, 1, 17.\nAnswer: -1, 1, 17, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2000, 0.0465, -1\/8 in descending order.\nAnswer: 2000, 0.0465, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 5:12 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/12 (b) -0.7 (c) 10 (d) -1\/2 (e) 1501\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.926 and 8542122939.\nAnswer: 8542122940.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1320341 - -12?\nAnswer: 1320403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 5 - (-3 + (6 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55426 and 19795?\nAnswer: 277130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4028 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38569 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24633 + -14719. What are the prime factors of l?\nAnswer: 2, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 49, 200, 497, 988?\nAnswer: 1721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*(sqrt(192) + 1 + sqrt(192) + -3 - ((sqrt(192) + sqrt(192)*-1)*3)**2)*2 + -2.\nAnswer: -10 + 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - ((-453)\/(-27) + -17).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -64, -253, -568, -1009, -1576, -2269, -3088?\n\"Answer: -63*d**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*x - 25101 = 0, 39*g + 6*x - 25134 = 36*g. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 673*g - 470 + 470 + 595*g + 78*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 0. Let i be l\/(-4) + (-20)\/(-8). Suppose -i*z + z - 21 = -4*u, -2*z = -u + 7. Solve 0 = -0*x - u*x - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 5613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/41, -3, -128, -125\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2048964.\nAnswer: 2, 3, 73, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/55681 - -3507947\/1224982. What is the common denominator of p and 47\/354?\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -69*j - 117. List the prime factors of l(-6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 0 + 0*y**5 - 1\/30*y**6 - 15\/2*y**2 - 1\/6*y**3 + 25\/12*y**4 + 39*y. What is the second derivative of a(f) wrt f?\nAnswer: -12*f**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and 39.\nAnswer: 4.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 432*k**2*n**2*p**2 - 95*k**2*n**2*p + 2*k**2*n + 2*k*n + 15*k*p + 6*n**2*p**2 wrt p?\nAnswer: 864*k**2*n**2 + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oookvoooko. Give prob of sequence kooo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyoo. Give prob of picking 1 o and 3 y.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/341 - -727\/5115. Let v(c) be the first derivative of -d*c**3 - 1 + 0*c + 3\/10*c**4 - 4\/25*c**5 + 0*c**2. Factor v(n).\nAnswer: -2*n**2*(n - 1)*(2*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3012*b + 3012*b + 16555*b**2 + (b - 3*b + 0*b)*(3*b - 3*b - 2*b) to v*b**2 + r + u*b and give v.\nAnswer: 16559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7527*k**5 + 8895*k.\nAnswer: 150540*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 7*w - 4. Let s be m(6). Let f be (2 + -1)*(1 + s). Let p = 19 - 19.4. Sort 0.5, p, f.\nAnswer: p, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from nzdd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17267084683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-23 + -2)\/((-11)\/22). Let d = c - 48. Suppose d*r = 125 + 245. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1624 - -3004.554.\nAnswer: 4628.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4831939, 19327502, 43486773, 77309752, 120796439?\n\"Answer: 4831854*w**2 + w + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (50\/(-30)*6)\/(-1 + 0). Solve -k = 39*s - 244 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 greater than 57692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + 836\/266?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21434 (base 9) to base 16\nAnswer: -377e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(-1\/10)\/((m\/m**4)\/(m\/(m\/m**(-1\/3)))))\/(m**4\/((m*m**5)\/m))**42 assuming m is positive.\nAnswer: m**(1337\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rll when three letters picked without replacement from {p: 10, o: 1, l: 3, h: 4, r: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -40*t + 210. Let g be w(43). What is the common denominator of 0 + (g\/24)\/5 and (7\/(-2))\/(18\/(-26))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 8 = 4*w - v, -3*w - 5*v = 11. Let t = 21 - 5. Suppose -t = -w*c + 62. Calculate the highest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-14))\/(1100\/77 - 14). Solve -4*v - 8 = c*y, -v + 6 = -4*y - 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 40. Let c(b) = 3*b - 40. Calculate 4*c(j) + 4*q(j).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3 + (-53)\/177. Let j = y - -108\/295. Which is the nearest to j? (a) 0.3 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/732 and -101\/20.\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2704245 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 6*n - 33 = 0, 293*n = 5*b + 289*n - 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 15 + 8 = 0. Let t = -4 + z. Let n(g) = g**3 - g**2 - 5*g + 3. What is the units digit of n(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5350 and 5229650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 65*g**2 + 69*g + 333. Let s be p(-64). Let v(y) = -y**3 - 2*y**2 + 5*y - 1. Let i be v(-4). Which is greater: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2. Let w(y) = -2*y**2 - 969*y. What is w(j(l))?\nAnswer: -8*l**4 + 1938*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000906 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b**2 - 5*b - 4. Suppose -2*y - 4*m = -8*m - 18, 2*y + 3*m = 18. Let v(n) = 629 - 309 - 315 - y*n**2 + 6*n. Give 5*v(r) + 6*x(r).\nAnswer: 3*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19843, 19846, 19849, 19852, 19855?\n\"Answer: 3*x + 19840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 6413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5258, 5244, 5216, 5168, 5094?\n\"Answer: -k**3 - k**2 - 4*k + 5264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -26760629.\nAnswer: 107042516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 116*b**4 + 3*b**3 + 26*b**2 - 2. Let m(w) = 116*w**4 + 4*w**3 + 27*w**2 - 3. Let f(u) = -3*d(u) + 2*m(u). What is the third derivative of f(x) wrt x?\nAnswer: -2784*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 10*a**2 - 43*a - 5. Let y be b(5). Calculate the highest common divisor of 30 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -115, -107, -99, -91, -83?\n\"Answer: 8*c - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29\/20 - -261\/20. Let o = 0 + -4. Calculate the common denominator of b and o\/18 + (-74)\/18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1115 or 0?\nAnswer: -2\/1115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 1:51 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 2543e?\nAnswer: 25443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i - 17 + 15 + 15*i.\nAnswer: 28*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18071849.3000017 + 18071852. Let g = 2.7 - c. What is g rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49724136?\nAnswer: 2, 3, 7, 11, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3880500 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 579.21389, -2\/5 in decreasing order.\nAnswer: 579.21389, 2\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k - 78 = 0. Let p = 5 + k. What is the units digit of (p\/(-12) + -1)*(5 + 27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -1, -0.045 in decreasing order.\nAnswer: -0.045, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124 + 95*n + 124)*(40 - 2*n - 40).\nAnswer: -190*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**4\/2 + 14*l**3\/3 - 7*l**2\/2 + 48*l - 4521. Calculate n(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 20*a + 3. Let g be v(-20). Solve g*f - z - 3*z = -15, 12 = -3*f + 3*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0.2, -203, -4\/7, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -337.3 + 337. Which is the closest to 3? (a) -1\/5 (b) j (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from icbcccccccncccc. Give prob of sequence iccc.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -8260*q - 41404. Calculate t(-5).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 (base 11) in base 6?\nAnswer: -2314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*i + 12. Suppose 2*s + i = -5*x - 2*s, -5*s = -10. List the prime factors of (-2 + 1)*(-7 + x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*w = 8, -y - 2*w + 5 = -4*w. Let s be 1 - y*(2 - 6). Let j = -0.341 + 0.041. What is the fourth biggest value in s, 4\/11, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 0*f + 0*f + (1 - 2 + 2 + (-4 + 0 + 5)*(-1 + 1 - 1) + 0 - 1 + 0 - 2 - 3 + 7)*(3 - 2 - 3)*(2 + 2*f - 2) + 7 - 7 - 4*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/10)\/((-2)\/30*-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4926 - 2437. What is the remainder when v is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54240\/(-12285))\/16 + 8\/26.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - (-7 - (-1 + -6))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 705.4358 meters?\nAnswer: 70543.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 26*w - 48. Suppose -3*r = -19 + 1. Let d(k) = 80*k - 145. Let h(t) = r*d(t) - 17*m(t). Differentiate h(p) with respect to p.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -50, -10, 42, 106, 182, 270?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**3 + 8*r**2 - 3*r - 8. Let x(u) = u**3 + 3*u**2 - u - 3. Let g(b) = 3*p(b) - 8*x(b). Let l be g(0). Solve l = -2*f + 3 - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*v + 4*v + 2, -3*v - 2 = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 7) in base 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77079527333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2409 divided by -219\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2\/7, 6607, 5\/2.\nAnswer: -10, 2\/7, 5\/2, 6607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014043591 rounded to four dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 9*y - 5. Let m be k(8). Suppose 0 = m*u - 1 - 5. Suppose 0 = -u*l - v + 80, 4*l = 2*v + 156 + 4. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*a - 50*a = 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -5, 59, 3, 12, -4 in ascending order.\nAnswer: -15, -5, -4, 3, 12, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*q - 4*q + 20, o = -4*q. Which is the third biggest value? (a) 0.5 (b) o (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3229*d + 18. Let n be k(3). Suppose 4*s - n = -3305. Let b be s\/(-4656) - (-1)\/3. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20167, 161035, 543313, 1287709, 2514931, 4345687?\n\"Answer: 20118*o**3 - 3*o**2 + 51*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/11 + 21\/44. Which is the biggest value? (a) y (b) 2\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*s**5\/23 + 286*s**4\/23 - 1810*s**3\/23 - 1140*s**2\/23 + 520*s\/23 - 16\/23 = 0.\nAnswer: -2, -1, 1\/30, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -44*l + 24*l. Suppose -4*f + 29 = 9. What is the nearest to 2 in f, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*a + 293 - 275 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) -4.2 (c) 0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -188559.2713?\nAnswer: 188558.8713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 3*s**2 + 5*s + 8. Let q be r(-4). Solve -q*k + k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7387 - 734 - 3221)*(0*s**3 - 2*s**3 + 3*s**3).\nAnswer: -11342*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29647807 is divided by 2345?\nAnswer: 2317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3\/9 + 9332*u**2\/3 + 17835538*u\/9 + 1978616 = 0. What is u?\nAnswer: -13329, -668, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**5\/60 - z**4\/4 - 11*z**3\/6 - 10*z**2. Is 7 a factor of d(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -10*p**2 - 451*p - 94. Give j(-45).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2200841*s**4 - 2809373*s**2.\nAnswer: -52820184*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000466 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -314.483061 - 0.353939. Let q = j + 315. Let m = -0.16209 + q. What is m rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190*-0.6.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68.22 + -91.22. What is the third smallest value in b, -0.31, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n + 17*n - 10*n + 85*n**2 - 238*n**2 + 20*n wrt n?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 - k**3 - 3*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 31*199\nAnswer: 6169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**3\/2 - 51*x**2\/2 - 20*x. Let r be k(-25). What is the hundreds digit of (-14040)\/r - ((-20)\/(-14) - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -2*u. Suppose u = -3*n, 4*n - 45 = -g - 2*g. Let o(h) = -18*h - 18. Let v be o(-1). Solve -3*p + g = v, -2*b - p - 2 + 3 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nntnkltnn. Give prob of picking 3 n.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 + 418*d + 2490. Give a(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004552 rounded to four decimal places?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 48313160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.88 - 0.12. What is the third biggest value in 2\/5, 5\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**5\/20 + 7*g**4\/12 - 2*g**3 + 33*g**2\/2 - 133*g. Determine b(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t = -5. Let m be 34*(-1800)\/(3\/t). What is m rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 4. Suppose 248*y = 265*y + 34. Let r(n) = 2. Let v(h) = y*r(h) + i(h). Let b(u) = -13*u**2 + u. What is v(b(l))?\nAnswer: -13*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.9 + -0.1. What is the second smallest value in -2, j, -1\/3, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -20 - 142\/(-7) - (-16)\/42. Which is the third biggest value? (a) h (b) -1\/3 (c) -14 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1766 - 797. Suppose -4*b + 3898 = 5*i, 4*b - 3*b = -4*i + z. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -471 - -290. Let v = -151 - h. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/16, -15, 4\/5, -0.052?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + 60 - 7*r + 19*r - 158 - 3*r**2 to p*r + x + f*r**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7720032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 20. Calculate the common denominator of (a\/42)\/(4\/(-184)) and -8\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.426 + 264.426. Let x = c + -257. Let n = -4 + 3. Which is greater: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31*(-414)\/(-7130) + (-13)\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -135, -157, -199, -267, -367, -505, -687?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 24 = b, 2*c + 30 = 6*c - 2*b. Suppose 3*t + 36 = c*t. Suppose 0 = 2*j + 4*v - 8, 5*j - v + t = 2*v. Are 0 and j unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6 - 37 = -4*j, -2*w - 6 = 0. Let a be 1\/2 - (-2)\/j. Let h = 7 - a. What is the smallest common multiple of 4 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1 - 2)*(-3)\/(-9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*c, -2*o + 2*c - 11 = -1. Suppose -2*t + o + 2 = 0. Solve -4*b - t = -5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 3:35 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 3701850?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11253*1426.\nAnswer: -16046778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -189 + 197. Suppose -4*h = -2*y + q, 0 = 4*y - 2*h + h - 44. What is the greatest common divisor of y and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -27773395790?\nAnswer: 27773395790.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 4. Let b(o) = 14*o**2 - o - z*o**2 + 6*o**2. Determine b(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 6:58 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 41 - (85 - (54 + -23))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + -0.4. Let t = 178.14 + -0.14. Let a = -178 + t. Sort -0.3, a, i in descending order.\nAnswer: a, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3966*m**3 + m - m**2 + 1319*m**3 + 1326*m**3 + 1322*m**3 + 3. Give i(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2 - 8)*(-129*i + 84*i + 77*i) + 4*i + i - 3*i + (i + 3*i - 2*i)*(-2 + 2 + 2) - i - 2*i + 4*i - 2*i + 2*i - i in the form w + p*i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - ((-407446)\/28 + 1). Let k = -14560 + t. Find the common denominator of k and 19\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -5*v - 27 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/12)\/((-1)\/(-3)). What is the nearest to u in 0, 2\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 400828 by 30.\nAnswer: 200414\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + 82. What is the greatest common divisor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 2*x + x)*(4 + 6*x - 4) + 15*x + 20*x**2 - 2 + 1 - 14*x.\nAnswer: 8*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -50 + (7 - -5) + -1?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 4*n + 1. Let j be m(6). Let v = 18 - j. Let f = 2.9 - 3. Which is the biggest value? (a) v (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**5\/20 - t**4\/4 + t**3\/2 - 3*t**2\/2 + t. Suppose -4 = -4*n, 6 = 5*g - 3*n - n. Determine k(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000144890435 to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/9, 0, 15, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-208)\/1976 + 80\/38. Solve -5*f + p = 17, -3*q + 3 = -5*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/95555 and 21\/11.\nAnswer: 1051105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -16*n**2 - 52*n + 150. Calculate d(4).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + 83*k**2 + 6*k - 12478. Let v(x) = 3*x**3 + 81*x**2 + 4*x - 12483. Let o(y) = -2*n(y) + 3*v(y). Differentiate o(a) wrt a.\nAnswer: 15*a**2 + 154*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(7\/4)\/((d**(-1\/2)*d)\/d)**(-41) assuming d is positive.\nAnswer: d**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.7 - -5.3. Which is the second biggest value? (a) -1\/4 (b) v (c) 4\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c - 165. Let o(d) = 12*d + 331. Give -10*a(b) - 4*o(b).\nAnswer: 2*b + 326","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -2 - -12) + -5 + 11 + -12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2121 - -2129. Solve p + 5*a = -8, f*p - a = 6*p - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3 = -g, 0 = 2*c - 2*g - 20. Let u(x) = -5*x - 14. Let l be u(c). Let j = l + 234. What are the prime factors of j?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -453693.1 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c - 9*c**3 - 2*c**4 - c**3 - 4*c**3 + 16*c**3 - c**2 wrt c.\nAnswer: -48*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 462.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -423 - -420. Which is the third smallest value? (a) -5 (b) 0.5 (c) 2\/7 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/3 (b) -4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5 - (-754)\/(-6))\/((-4)\/156)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 3.1. Let l be (-115)\/(-4) - -3 - (1 - -2). Let a = l - 28. What is the second smallest value in -5, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, i: 4, x: 7}. Give prob of picking 3 s and 1 i.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -29*v + 51. Put -20, -1, v in descending order.\nAnswer: v, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/105))**19\/(((((y**(-6\/11)*y)\/y)\/y*y)\/y*y)\/y*y)**(-34) assuming y is positive.\nAnswer: y**(107\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/19))\/(k**(-3)\/k))\/(k**(2\/11)*k**(-5)) assuming k is positive.\nAnswer: k**(2074\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 4*h**3 + 0*h**3)*(74*h**2 + 2 + 4*h**2 + 58*h**2).\nAnswer: 272*h**5 + 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v - 11. Let g(l) = -l - 6. Let j(a) = -11*g(a) + 6*n(a). Let p(i) = -2*i. Let w(x) = 3*j(x) + p(x). Let b(y) = -y**2. Give b(w(o)).\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-8)\/16*3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(17)*-2 + sqrt(17)))**2 + -4.\nAnswer: -64*sqrt(17) + 332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 19, 31\/6, -5, -2\/5, -3\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*b + 86*b - 5 + 5.\nAnswer: 253*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 = 2. Let u(j) = j**3 + 5*j**2 + 4*j. Let k be u(-4). Suppose k = l - 6*l. Which is the closest to f? (a) -4 (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 598, 1197, 1812, 2449, 3114, 3813, 4552?\nAnswer: 5337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 2, 1 in descending order.\nAnswer: 24, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 2.42, 0.5, -4, 14\/3?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25776 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405235098?\nAnswer: 2, 3, 2609, 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 3 + (sqrt(11) + 2*(sqrt(11) + -2))*-4*1)*-1)**2.\nAnswer: -360*sqrt(11) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, p: 2, t: 3}. What is prob of sequence bb?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331635 + 92*w**3 + 331635.\nAnswer: 92*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1164, -2884, -4604?\n\"Answer: -1720*k + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 1*(88\/20 - 3). Which is the nearest to d? (a) -1\/6 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 6 = 15. Let v(a) = -2*a. Let k(h) = 7*h - h - 6*h + 3*h. What is x*k(d) + 4*v(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzh when three letters picked without replacement from hhxzxhhxhfhzzfxxxhhx.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13266 by 1206.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.06 - -0.06. Let u = -0.1 - -3.1. Let i = -3.3 + u. Which is the second biggest value? (a) t (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 - 0.92. Let l = z - -5. Let d = 0.4 + -1.4. Which is the closest to d? (a) l (b) 0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 239294 and 42614?\nAnswer: 3110822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12.6 (b) 117 (c) 8\/81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2946*c**3 + c**2 - c**2 + 741*c**3.\nAnswer: -2205*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7757, 1 in descending order.\nAnswer: 3, 1, -7757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**4 + 20*r**3 + 15*r**2 + 4*r + 710.\nAnswer: 12*r**2 + 120*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 202469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7}. What is prob of picking 3 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 16*v**2 - 35*v**2 + 3*v + 22*v**2 - 3*v. Let b(o) = o**2 - 26. Give b(l(y)).\nAnswer: 9*y**4 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21827333570+0.1\nAnswer: -21827333569.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 - 1 - 28 + 2*r**3 + 2 in the form j*r**3 + d*r + w + k*r**2 and give w.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a minute in seconds?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -577, -578, -579, -580, -581?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 0.1 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*o = -40 + 659 + 239 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b + 3*b - 4*b. Give z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 282 and 274935.\nAnswer: 25843890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08546, -0.7, 0.\nAnswer: -0.7, -0.08546, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 16. Suppose 0 = -4*y + 3*z - 2*z + 12, -4*z - f = -2*y. Suppose 0 = -4*b - 20, -b - 3*b = y*k + 23. Which is smaller: 1\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 18 = -22. Let k be 2674\/10 - n\/50. Let p(r) = -k + 267 + 2*r**2. Let d(s) = -3*s**2. What is p(d(m))?\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y + 11*y**2 - 20*y**2 + 7*y**2 + 10*y to the form k*y + d + i*y**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-6)*(-6)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(0*u - u - u + 6*u + 0*u + 0*u + 0*u + u + 2*u + (4 + 2 - 4)*(4 - 4 - u)).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 a factor of 216683424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - 48*b**2 - 3*b + 70. Determine v(24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(99) + sqrt(11) + sqrt(44)\/sqrt(64).\nAnswer: -1 + 17*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(2)*1)**2*-3*3.\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -132, -327, -632, -1065, -1644, -2387, -3312?\nAnswer: -4437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19 - -7)\/(-3*(-6)\/(-6003)). Let k be (-1)\/(10\/(-4)) - n\/30. Let v = k - -195. What is the remainder when v is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -201112?\nAnswer: 201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*l**2 + 34833*l - 342090876 wrt l.\nAnswer: 44*l + 34833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6558*b*v**3 - b*v**2*z + 2*v**3*z + 48*v**2*z - 2*v wrt b?\nAnswer: -6558*v**3 - v**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m - 415 = -154 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -947478.04 to the nearest one hundred.\nAnswer: -947500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3\/2 - 8847*o**2\/2 + 19729995*o\/2 - 717948925\/2 = 0. Calculate o.\nAnswer: 37, 4405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5295638, 2.\nAnswer: -5295638, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 9, -5*d + 32 = -5*t + 7. Let o(g) = 3*g + d*g + 0*g - 6*g. Let c(x) = -3*x**2 + 2*x**2 - x**2. Calculate c(o(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 63*i**3 + 9*i**2 - 15*i + 5. List the prime factors of f(2).\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53832 divided by 6?\nAnswer: 8972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9 - (-280)\/(-32) - 2\/(32\/(-197212))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -24 and 214 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -153 + 165. Suppose 5734 + 17654 = o*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5502071, 11004129, 16506187, 22008245, 27510303, 33012361?\nAnswer: 38514419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28 - 1854412?\nAnswer: -1854440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xaax when four letters picked without replacement from aaaaaaxkakx?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199 - 112. Let j be (58\/o)\/((-2)\/3). Which is the closest to j? (a) 2\/5 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2 + 7*i - 4. Suppose 50*n = 98*n - 53*n, 2*n = m + 2. What is t(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107129 is divided by 1055?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 482 = 3*f - 544, 0 = -2*f - y + 671. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 - 4*v - 2. Let h(r) = -r**2 + 6*r - 4. Let m be h(4). Let y be a(m). Suppose -2*n + y = -0*n. Calculate the remainder when n is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 - 4*w**2 + 2*w - 4. What is the smallest common multiple of b(-3) and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -963514 in ascending order.\nAnswer: -963514, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*o + 81*o - 25*o**2 + 90*o - 283*o.\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(84) + sqrt(84) + (sqrt(84) - (sqrt(84) - sqrt(84)*-1)) - sqrt(84)) - sqrt(84))\/(3*sqrt(12)*4).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 110628*a + 2179. Is r(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81162 and 17034.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -502*d + 101399. Calculate f(202).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-48)*3 + 1. Which is the closest to -1? (a) r (b) 0 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-132)\/(-21) - 4\/14. Let l(j) = 2*j**2 + 17*j + 23. Let m be l(-7). Solve -2*h = f - m + n, 3*h = -3*f - 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 274 = -3*s, 4*u - u - 5*s = 220. Suppose u = 5*c - 10. Calculate the greatest common factor of c and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -14 + 16 + (3 - -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 53 = -59. Let z = -56 - j. Let g = z + 106. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 949255 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -112\/2811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76151 = -371*i - 60198 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**5\/10 + 3*n**4\/2 - 5*n**3 - 25*n**2 + 232*n. Find t, given that s(t) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12500 - 8717. Let s = k - 1628. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 3. Let r be h(-5). Let z = -4.1 + 4.5. Which is the closest to -4? (a) r (b) -2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iniiiiiiiiiii?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 128371543871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.01, -2\/9, 4, -1\/4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 - 446 - 438 = 27*w for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**2*v**2 - 12414*s**2*v + 32*s**2 - s*v**2 + 2382314*v**2 - 2*v + 6 wrt v.\nAnswer: 2*s**2 - 2*s + 4764628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -112*i**2 + 201*i**2 - 156*i**2 + (7 - 2 - 3)*(-3*i**2 + i**2 + 0*i**2).\nAnswer: -71*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7507691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -19)*(2 - (-10)\/(-6)). Suppose 0 = d*n - 6 - 9. Which is smaller: 4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(17))*1)**2 + sqrt(170)\/(sqrt(30)\/sqrt(3)).\nAnswer: 3*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -324163*k**4 - 2*k**3 - 3*k**2 - 8554*k + 37?\nAnswer: -7779912*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from lllllkvlkddvd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64991.01 millennia to centuries.\nAnswer: 649910.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1752.73 - -1728. What is s rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1582142*i = 4*j - 1582144*i + 20, 0 = 5*j + 11*i - 137 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37161712*g - 31908235 wrt g.\nAnswer: -37161712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 990 divide 228690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-6) - 0)*-36. Suppose 0 = j - 3. Suppose -w = 1, 4*w - 8 = -j*r + m. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-70)\/(-3)*(46 - 4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 101?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 80 + 28 - 12*k**2 - 1 + 14*k**2 + 25*k**2 wrt k?\nAnswer: 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 12:41 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 1, 2, -18.\nAnswer: -18, 1, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360835563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2223)\/7904)\/(3\/4 + 0). Sort -10, 0.23, -1, y in decreasing order.\nAnswer: 0.23, y, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p + 6864 = -26*p. Which is smaller: -126 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**6\/180 - c**5\/45 + c**4\/36 + c**2\/2 + 2. Let k(v) be the second derivative of i(v). Let k(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 649, 653, 657, 661, 665, 669?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 19*j**3\/6 + 3*j**2\/2 - j. Let p be v(4). Calculate the common denominator of -97\/2 and (3 - 2) + p\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**3 - 7*y**2 + 6*y + 14. Let o be w(6). Suppose 3*d + o = r, -4*r + 1504 = -2*d - 240. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6418 divided by 3.\nAnswer: 6418\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11254*s + 304 = 11292*s. Let l = -12 - -24. What is the highest common factor of s and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -111. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from qmmywy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3571.64 rounded to the nearest ten?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151 + -151.079. Let n = z + 0.2662. Let l = n + -0.19. What is l rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 11*q**7\/210 + 2*q**5\/15 + 3*q**2 + 12. Let h(r) be the second derivative of u(r). Find the third derivative of h(c) wrt c.\nAnswer: 264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**6\/210 - 3*k**5\/35 - 6*k**2 + 6. Suppose b(z) = 0. What is z?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 214082022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 3341.\nAnswer: -10\/3341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 16*b**3 + 6*b**2 + 22*b - 93. What is the tens digit of w(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 141\/8, -3\/524 in ascending order.\nAnswer: -2, -3\/524, 141\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6*m - 31. Let x be j(10). Let i = 165 + x. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201 + 491. Suppose 105*v + q = 110*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 1, u: 5, c: 9, b: 2}. Give prob of picking 1 b and 1 c.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 1882980\/347 and 5426 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (12\/(-20) + (-3)\/5)*-25 and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0 - 25. List the prime factors of 5\/(w\/(-3)) - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 9:43 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 1. Suppose -3*p = 2*k - 41 + 39, 2*k - 2 = p. Let x(v) = -3*v**3 + 12*v**2 + 3*v - 12. Let d(w) = k*x(w) + 15*g(w). Factor d(l).\nAnswer: -3*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**2 - 140*h + 141 = 0.\nAnswer: -141, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8238.98 centuries to millennia.\nAnswer: 823.898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -14. Suppose -4*d = z - 21. Let a(i) = 5*i**3 - 5. Let f(w) = -6*w**3 + 6. What is d*f(u) + 5*a(u)?\nAnswer: u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713880 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -6 + 5 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.32374 + -3.67626. Which is the second smallest value? (a) i (b) 0.1 (c) -0.9 (d) 0.4 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82584610 rounded to the nearest one million?\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -6, 133 = q - 5*f - 66. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 + 2*f)*(1 + f - 1) + 20*f**2 - 11*f**2 + 29*f**2)*(8 + 52 - 9) as h + a*f**2 + w*f and give a.\nAnswer: 2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 732109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 232 + -155?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z. Let w(u) = u. Let j(y) = -h(y) + 4*w(y). Let s(c) be the second derivative of 3*c**3\/2 - c + 121. Give j(s(i)).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 76, -2, 5, 1 in descending order.\nAnswer: 76, 5, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/4)\/l**(-5\/7))\/(l**(9\/5)*l*l*l*l**3\/l) assuming l is positive.\nAnswer: l**(-747\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5\/2 + 65*f**4 - 2579*f**3\/2 - 5922*f**2 - 6174*f = 0.\nAnswer: -147, -2, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*d + 20, -8 = -33*h + 27*h + 2*d. Is h <= -4229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(66) + sqrt(66)*2*6)*-5)\/(-2*sqrt(600) - sqrt(18)\/sqrt(3)*4))*2*-1.\nAnswer: -65*sqrt(11)\/12 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*f - 100 = 0, 0*t - 282 = 3*t - 3*f. Let u = -29 - t. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -132 - (1\/2)\/((-26)\/(-52)). Let x be 4054\/14 + (-57)\/h. What is the highest common divisor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12425 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 206785860*l**3 + 4054*l**2 + 4744*l.\nAnswer: 1240715160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3)\/o)**(-13)\/((o*(o\/((o\/((o\/o**9)\/o*o))\/o)*o)\/o)\/o)**(-2\/5) assuming o is positive.\nAnswer: o**(283\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 6541821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + b - 3. Let l be d(-6). Calculate the greatest common divisor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3278 - 7.7798. Let h = b + 0.052. What is h rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 20 - 36 = 0. Suppose -4*z + m - u = -0*m, -z - 7 = 5*m. Let x = z + 3. Which is the third smallest value? (a) x (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 131, 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/67212490 and -26\/369668695.\nAnswer: 739337390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79827, -637776, -2152201, -5101338, -9963423, -17216692, -27339381?\nAnswer: -40809726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1322043968?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 = 5*a - 0*v + 2*v - v, 5*a + 93*v = 17*v + 67 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -10*t + 141200. Suppose t = -3*p - p. What is p rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7657075 by 2.\nAnswer: 7657075\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.36563*-30.1\nAnswer: -11.005463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85 - -83. Which is the second smallest value? (a) u (b) 4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/494868 and 29\/1771.\nAnswer: 3464076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j*j**7*j*j*j*j**(-19) assuming j is positive.\nAnswer: j**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*x - 4 + 4 + 40*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 1955*u**2 - 2*u. Let d(s) = -3*s. Give d(v(b)).\nAnswer: -5865*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44930994.\nAnswer: 2, 3, 7488499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2305 divided by 28.\nAnswer: -2305\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -94, -195, -296, -397?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 1:11 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 2, x: 2}. What is prob of picking 1 p and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 12, -2 in descending order.\nAnswer: 12, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opecyyodeeoyp. Give prob of picking 1 d and 2 o.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 115102*i**3 + 2850*i - 475. Let w(a) = 1457*a**3 + 36*a - 6. Determine 475*w(m) - 6*z(m).\nAnswer: 1463*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/98 - 136\/(-14). Suppose 0*m = 5*m - b. Solve -2*h = m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9023 + -9022.6. What is the closest to -1\/2 in -3, 1\/4, o, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 12*z**2 + z. Calculate the remainder when g(-2) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllalaalt. What is prob of picking 3 a and 1 t?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(18) + -2 + 1*sqrt(2))*-5)**2.\nAnswer: 800*sqrt(2) + 3300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8781116.12 rounded to the nearest ten thousand?\nAnswer: 8780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170*((-3)\/(-9))\/(((-171)\/18 + 7)\/3).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20807910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 4:49 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 4:06 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*w - 238*w + 74*w + 2 - 2.\nAnswer: -41*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from befssffesffffffesbs?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.00475 + -4947441\nAnswer: -4947441.00475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1577569 and 518?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**3*q*q*q*q*q*q*q**(2\/3)*q)\/(q**(-6)\/q**(-1\/10)) assuming q is positive.\nAnswer: q**(527\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -19. Find the first derivative of 8 + 10*m - 4 - z wrt m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 15, 1, -33, -93?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -18*t**2 + 962*t + 25702. Give c(73).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-900)*45*9\/((-9)\/(-44))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 - -136. Let f = -45.99999941 + z. What is f rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 - -1 - (-1 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 350\/30) + (-200)\/(-75)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/(-12)*(-102)\/(-40) and ((-1)\/12)\/(3\/74).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.01302.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1939 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + -3*sqrt(19).\nAnswer: -3*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 7*r**2 + 2*r**2)*(-1 + 1 - r**2) - 12*r**3 + r**4 + 26*r**3 - 13*r**3 - 9*r.\nAnswer: 3*r**4 + r**3 - 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus -130422218?\nAnswer: -130422212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29241 = 5*q + 4*w, -42*q - 3*w = -41*q - 5857. What are the prime factors of q?\nAnswer: 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4954621 - 0.0314\nAnswer: -0.5268621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 1.3?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/19 and -31\/190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7087 = -41816. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**2 - 3*x**2 + x**2 - x - 2540 - 4*x**2 + 5069 - 2716 + (-2*x + 0 + 0)*(-2*x + x + 2*x) to the form d*x + a + s*x**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t + 585 = -27*t. Calculate the least common multiple of t and 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 277 = 1305. Suppose -3*r - 200 = -w + o, -2*r = 4. List the prime factors of w.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 times -794758\nAnswer: -34969352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*h + 281 - 226*h + 468*h - 561 + 279.\nAnswer: 12*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/10568 and 97\/424.\nAnswer: 560104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**5\/60 + u**4\/3 + 7*u**3\/6 + 4*u**2. Determine r(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -18176.9, -1\/9, 0, -2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 24 - 12, -f = -4*c + 348089. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2549, 5098, 7647, 10196?\nAnswer: 12745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2561*p + 40 + 0*p**2 - 2606*p + 5*p**2.\nAnswer: 5*(p - 8)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2082905 to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0 = -20. Suppose -q - q = -f. Let i be (q\/(-3))\/(4\/(-18)). Solve -3*l + 2*g - 31 = -3*g, -4*l = g + i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111.0000061 - 111. Round q to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47572 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 1.1?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.16 - 1.36. Let x = o + 1.1. Is x greater than or equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2912 - 1028. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7170250 and 345?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 212 - -245?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 69\/15 - 2\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1045*p - 3197. Give i(3).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3477 (base 11) to base 13.\nAnswer: -20cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2608668, -2608352, -2608036, -2607720, -2607404?\nAnswer: -2607088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 - 7*z - 45. Let i be l(-3). Put -19, i, 5, -1 in decreasing order.\nAnswer: 5, i, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 1. Let v(g) = -g - 5. Let l be v(-7). Let h(s) = 2 - s**l - 1 + 3*s + 2 - s. Let y(x) = h(x) + 2*z(x). Factor y(o).\nAnswer: (o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 8 = -4*b, -46*b - j - 10 = -51*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 39*k**2 - 179*k + 316. Calculate the remainder when 1 - 54*(0 + -1) is divided by i(34).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 4*z - 30867978, 2*z + 19211845 + 11656157 = 2*q. Suppose -2*n = 3*v + q, -55323416 = 5*n - v - 16738415. Round n to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 1 - (-33 - (41 + -74))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 6*w**2 - 3*w - 3. Let p be g(5). Suppose -3*j = -p*j + 24. What is the highest common divisor of j and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/7, 0.2, -2\/13 in decreasing order.\nAnswer: 5, 0.2, -2\/13, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (164\/410)\/(-11*1\/10) + 28\/66.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1605 - 8*l - 1605.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/4002580 and -91\/699480?\nAnswer: 72046440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11749572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from hhqmhamamm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*f**2 + 227*f**2 - 529*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2759464 and 939392.\nAnswer: 44151424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**0)**(1\/81)\/((y**(-1\/6)\/y)\/y**(-4))*(y**(2\/13)*y\/(y**(-2)\/y))\/(y**0)**(-28) assuming y is positive.\nAnswer: y**(2807\/2106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2512543 + -3.25. What is y rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -761833.5\nAnswer: 228550.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (27\/(-3))\/1. Suppose 0*n - 3256 = -2*a + 4*n, -2*n + 8152 = y*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 10:57 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -70 + 3*q**2 + 63 - 42*q + 45*q. Let r(d) = -d**3 - 5*d**2 + 4. Let l be r(-5). What is the tens digit of u(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5 = n - 5, -4*n - 4*o + 40 = 0. Let p = n - 4. Calculate the common denominator of p\/48 - (-67)\/(-40) and -93\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 24 + (52 - 40).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, l: 4}. What is prob of picking 4 z?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10 = -4. Let o be (-69)\/(-15) + 15\/(-25). Suppose 0 = 2*z - d*z + o, -2*u - 5*z + 48 = 0. What is the highest common divisor of u and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183890 to the power of 1\/2, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1090 = -13*b. Suppose -g - b + 128 = 0. What is the highest common divisor of 19 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 12:42 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + g. Suppose g*k - 5*k + 310 = 0. Let d(j) = -168*j + 2415. Let i be d(14). Is k less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**2 - 8*z**2 - 2 + 2 + z.\nAnswer: -19*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6796*x**2 - 54343*x - 51. Determine g(8).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-12)\/(-7))*-4. Let w = d - 4. Let c(f) = -f**2 + 23*f - 88. Let y be c(18). Which is greater: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-57 + 63)\/(2 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12121020202122 (base 3) to base 6\nAnswer: -143450412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 1\/50*x**5 - 1\/3*x**3 - 47*x + 1\/15*x**4 + 0 - 6\/5*x**2. Find k, given that j(k) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-102)\/(-4))\/((-6)\/10). Let x = 7989 - 8030. Let v = f - x. What is the third smallest value in v, -0.1, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.227519 rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyfinfyfioi. Give prob of picking 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + (4 + -3*(sqrt(175) - (0 + sqrt(175))) - (5 + sqrt(175) + 1 + sqrt(175) + 4*sqrt(175)*1))))**2.\nAnswer: 9000*sqrt(7) + 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1361 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {a: 1, k: 1, q: 1, u: 12}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652*s + 1315*s + 4*x + 2*x - 378 = 659*s, x = 4*s + 63 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blbmlblblblllbbmblvl. What is prob of picking 2 m and 1 b?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16 - (-13)\/(-12 + 11). Put b, -1, -2, 109 in increasing order.\nAnswer: -2, -1, b, 109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17)*-5 + -4 + sqrt(102)\/(sqrt(36)\/sqrt(6) + sqrt(6)))**2.\nAnswer: 144*sqrt(17) + 1441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 572, 503, 392, 239, 44, -193?\n\"Answer: -21*t**2 - 6*t + 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3.97. Let f be ((-3)\/6)\/((-66)\/(-44)). Which is the biggest value? (a) f (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.1 (c) -5 (d) 35\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141070 is divided by 47017?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-130)\/(418\/5 + 2). Let v = -2\/107 - q. What is the common denominator of -50\/9 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 71086932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1642 - 2186 = -58*z. Are z and 461\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 71 = 9. Suppose 5*k = 5 - c. Let j be (-12)\/k + 6\/21. Solve -1 = b + 4*b + j*m, 3*b + 6 = -3*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826083.\nAnswer: 3, 263, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 21135?\nAnswer: -21143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -361 (b) 62 (c) 0.167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/57, -113, -5, 0, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2076, -2155, -2332, -2649, -3148?\n\"Answer: -7*u**3 - 7*u**2 - 9*u - 2053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -582 + 582.01. Let r = -30 + 32. Which is the second biggest value? (a) q (b) -0.1 (c) -2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 25*s - 110. Let q be u(5). Suppose -q*m = -0*m - 225. Solve 9*p = m + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u + 46. Let s(t) = 2*t - 404. What is s(l(q))?\nAnswer: -4*q - 312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -22 + 21\/2*u**2 - 4\/3*u**3 + 0*u. Find the second derivative of h(m) wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*c + 13673 = -45*c - 915*c + 665 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -0.1, 5, -5 in descending order.\nAnswer: 5, -0.1, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-3\/5)*r*r*r**(-4))**14)**(-2\/25) assuming r is positive.\nAnswer: r**(224\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 508\/11 - 46. Which is the closest to -3\/8? (a) 2\/7 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 + 220*d**3 - 2416*d**2 - 17040*d - 14400.\nAnswer: -4*(d - 30)**2*(d + 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 8*c**4 + 4*c**2 + 6. Let h(o) = -o**4 - o**2 - 1. Suppose 0 = -4*z - 0*z + 24. Let i(x) = z*h(x) + q(x). Determine f so that i(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/((-50)\/(-15)))\/((-2)\/(-128)). Suppose -h - 11*h + f = 0. Differentiate -h + 5*i - 21 + 3 + 0 with respect to i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -19*s - 24. What is the closest to s in -4\/5, 2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/544 + 507\/544. Find the common denominator of o and -59\/2078.\nAnswer: 16624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipej when four letters picked without replacement from {e: 10, j: 2, p: 1, i: 1}.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 0*w + 6*w)*(-5*w - 8*w + 10*w) + (9*w**2 + 2*w**2 - 2*w**2)*(-5 + 1 + 3) in the form b*w + u + h*w**2 and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 + 2)*(0*m - 5*m + 3*m + (-m + 5 - 5)*(1 - 6 + 3) + 3*m + 2*m - 3*m) - 5*m - 4 + 0*m + 6 to k + s*m and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(4\/13)*r\/(r*r\/(r**(1\/2)*r)*r))**1)**49 assuming r is positive.\nAnswer: r**(1029\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -22*f**4\/5 + 20*f**3 + 216*f**2\/5 - 144*f\/5 = 0.\nAnswer: -2, 0, 6\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 228 = -4*z, 420*z + q = 424*z - 222. Solve 3*k + z = 36 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 13.9875. What is s rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -905986*v = -906249*v - 5105 - 3574 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100553 and 14282.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4 = 3*s. Does 11 divide 4\/s + (2 - -11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -11688\nAnswer: 1\/2922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s + 2*s + s)*(-s**4 + 2 - 2) - 4467*s**5 + 1830*s**5 + 1899*s**5 - 2*s**5 - 3*s**5 + 7*s**5)*(0 - 4 + 0).\nAnswer: 2948*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*j, 3*j + 8*y = 5*y. Suppose j = -30*d + 14*d + 1584. Is d a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32211\/(-1252650)*25\/(-3).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5\/7 - 38*j**4\/7 - 505*j**3\/7 - 2628*j**2\/7 - 3888*j\/7 - 1728\/7.\nAnswer: -(j + 1)**2*(j + 12)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 69051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnonxhnnoxnnnxnnonoo. What is prob of picking 1 x, 1 n, and 2 o?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((2 - 3) + 15)\/((-2)\/(-38)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 2200*a - 15596.\nAnswer: 4*(a - 557)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 68*f**2 - 3. Let x(d) = -d**2 - 163876155 + 163876155. Calculate l(x(m)).\nAnswer: -136*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-5)*(39\/6)\/(-1). Let s be (4\/(-3))\/((-3)\/(-27)). Let n = s - o. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*s - 7 = 0, 4*s - 1 = 5*y + 2*s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - 32 + 372*a + 64 to the form x*a + v and give x.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpeeeppp. What is prob of picking 1 e and 3 p?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 13\/(182\/154). What is the closest to -0.8 in -2\/19, 4, x?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5 + 40*w**4 + 88*w**3.\nAnswer: -2*w**3*(w - 22)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -20*-2*(2 + -1). Let u = d + -28. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/(6*sqrt(18)) - (sqrt(80)\/sqrt(4))\/sqrt(4)*5)*-1)**2.\nAnswer: 39605\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 2*g**2 + 1. Let j be f(1). Suppose -3*k - 21 = 5*r, -3*r = -j*k + k + 11. Let v = r + 5. Solve 10 - 2 = -v*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1053) - (-1 + sqrt(1053))) + -3 + -2 + (sqrt(1053) + 1 + 4 - (0 + sqrt(1053) + -4))**2)*-6*6.\nAnswer: 13860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 10 = x. What are the prime factors of x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21*38\/1995)\/((-168)\/1365)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5671432.8ns to hours.\nAnswer: 0.000001575398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 1005*f.\nAnswer: -3*f*(f - 335)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2751\/63 - (0 + (-4)\/(-6)). Let q = 43 - o. Suppose -3*i - 5*s + 686 = q, -s - 311 = -i - 93. List the prime factors of i.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11869 and 11871 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 + 33*l - 9. Let i(x) = x**2 + 16*x - 4. Let s(t) = -9*i(t) + 4*n(t). What is the second derivative of s(f) wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -9*m**4 + 28659*m**3 - 7626957*m**2 + 528437481*m + 355689906 = 0.\nAnswer: -2\/3, 143, 2899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -14*r**2 + 12*r - 12. Let t(o) = 13*o**2 - 10*o + 10. Let a(m) = -6*t(m) - 5*v(m). Let d(p) be the second derivative of -p**4\/12 - p. Give d(a(f)).\nAnswer: -64*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 229551 times -10\nAnswer: -2295510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447 - 2073 = -70*l. What is the smallest common multiple of l and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 247511024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + 3*j**2 - j**2 + 4*j**2 - 2*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.97 + 6. Let h = -2.39 - -3.1. Let l = h - -3.29. What is the third biggest value in l, 0.1, y, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lttl when four letters picked without replacement from {l: 9, t: 7}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -53. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93938670?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-20)*j)\/j*j*j**3*j)\/((j\/(j\/((j**(-4\/5)*j)\/j)))\/j)**(-3\/13) assuming j is positive.\nAnswer: j**(-1002\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - -1)*(-9)\/(-12). Let p(d) = d - 1. Let m be p(f). Solve m*l + 0 + 4 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 15 = -0. Suppose 0 = -s*t - 4*a + 5287, -5*a - 2125 = -2*t - 10*a. Suppose t = 5*k + 3*m, -309 - 542 = -4*k - m. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3097, -12938, -29535, -52888?\n\"Answer: -3378*s**2 + 293*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000000963 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 453.379ml in litres?\nAnswer: 0.453379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*m**2 - 8*m*z**2 - 3*z**2 - 409 wrt m.\nAnswer: 10*m - 8*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -7*f**4\/6 - 32*f. Let c(y) = -2*y. What is r(c(x))?\nAnswer: -56*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 8 = 2*r + 3*q, 4*r = 3*q + 14. Factor 2*l**r - 447 + 447.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (214 + -226 - (0 - 1)) + 36\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v - 5*v - 2*v - 4*v**2 - 155*v**3 + 8*v to the form u*v + x*v**2 + f + c*v**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24678.\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*a**4*c - a**4 - 3*a**2*c**2 + 2*c**2 + 2 wrt a?\nAnswer: -20*a**3*c - 4*a**3 - 6*a*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 325 + -316. Suppose 2232 = c*g - 1566. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -3*l**5\/5 + 9*l**4\/4 - 9*l**3\/2 + 47*l. Let p(y) = -y**3 + 2*y**2 - 2*y. Determine 2*d(h) - 27*p(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7*j + 20 = 0. Suppose j*y = -2*y. What is the second derivative of 15*v**3 + 24 - 24 + y*v + 24*v wrt v?\nAnswer: 90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 8*y**2 - 7*y + 28*y**2 + 2*y**2 + 18*y**2 - 2.\nAnswer: 37*y**2 - 7*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 - 101100010010110110?\nAnswer: -101100010010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 3*r + 4. Let w be v(-3). Suppose -5*n - w = -3. Sort n, 2, 1.\nAnswer: n, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22357 - -22357) + (49 - (1 + -4 + 2))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -20501000 to the nearest one hundred thousand.\nAnswer: -20500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**2 + 2*l. Let z(t) = t + 4. Let c(u) = 4*f(u) + 2*z(u). Let b(v) = -8*v**2. Calculate c(b(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -84 - -38 - -26.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2356 is divided by 297.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -206 + 208. Is u >= 13\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 35 + 10*b**2 - 2123496*b + 2123519*b + 2*b**2. What is m(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37130 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u + 2 = -26*u, z + 2 = u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(102)*1)\/sqrt(3))\/(sqrt(14)\/((sqrt(70)*1 + sqrt(70))\/sqrt(10))))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 17, -52 in decreasing order.\nAnswer: 17, 3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4*2\/(80\/(-50))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -81, -60, -37, -12, 15, 44, 75?\n\"Answer: c**2 + 18*c - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2205\/196*4\/(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, 4, 23, 58, 115, 200, 319?\n\"Answer: n**3 - n**2 + 5*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1.1, -0.2, 3.\nAnswer: -0.2, -2\/11, 1.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/7253011 and 68\/1467?\nAnswer: 65277099","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 111*w - 7. Let d(s) = 113*s - 7. Let k(q) = -7*d(q) + 6*u(q). What are the prime factors of k(-5)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 16. Suppose 3*f = -5*h + 22, -2*h + 0*f + f = u. Suppose 4*m = h*b + 2*b + 16, m = 4*b + 1. Solve 19 = m*w - 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.1*33.4\nAnswer: -70.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.4 + 6.2. Which is the closest to 2? (a) -0.05 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55499?\nAnswer: 19, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 41590?\nAnswer: -41586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.242442 rounded to two dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 = 6*f - 30. Let g(y) = -6*y + 20*y**2 + 4*y + f - 92 + 0*y + y**3. What is the remainder when g(-20) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - 340?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 + 1.2. Let s = 34.5 - 34. Sort k, s, -1\/4, -0.4 in decreasing order.\nAnswer: s, k, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2\/74261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67621.\nAnswer: 19, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.4152 - 0.5848. Which is the third smallest value? (a) 2\/13 (b) j (c) -175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 14 = -7*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*10 + 1 + (-384)\/64. Suppose 5*p - z - f = 0, 4*z = -3*p + 5*z + 45. Solve p = -5*j, 0*o - 2*j = o + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -292, -1, 5, 29, 27 in ascending order.\nAnswer: -292, -1, 5, 27, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2.9. Suppose -t = 5*r - 5 + 10, -3*r = -5*t - 25. Which is the second biggest value? (a) i (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*37\/(-444)*-48.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8852669827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((12 - -2 - -8) + 11)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (4 - (-3 + 3) - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v. Suppose v*m - m + 18 = 0. Let t(r) = 3*r**2 - 4*r - 3. Let k be t(-3). What is the highest common factor of m and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 5*j**2 - j + 7. Let x be f(5). Let n = x + 0. Let u = 44918\/5 - 8984. What is the smallest value in u, 2\/3, n, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 12:37 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 5*f, 4*k = -5*f - 20 + 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a. Let d = 4 + 0. Sort d, -5, a in increasing order.\nAnswer: -5, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = -4*k, -35 = -18*j + 13*j - 2*k. Solve -b + j*f - 6*f + 8 = 0, 4*b - 14 = 3*f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 - 49*p**3 - 14*p**3 + p**2 + 12*p**2.\nAnswer: -63*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -123, -906, -3023, -7140, -13923?\n\"Answer: -111*b**3 - b**2 - 3*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y - 65. What is the remainder when t(-13) is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4 = 2*k, 0 = 4*f - 761*k + 764*k - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 26. Let y be -2 + p + 1 - 2. Solve -5*t = -20, -a - 5*t = -y*t - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*f**3 + 294 - 317 + 2*f**3 - 13*f**2 + 5*f**3 with respect to f.\nAnswer: 6*f**2 - 26*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -6) + 5 - ((-22 - (-10 - 3)) + 82)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*k**4 - 56*k**3*o**2 + 2*k**3*o - 3903*k**2 - 2*k*o**2 + 2*k wrt k?\nAnswer: -312*k - 336*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvy when three letters picked without replacement from rhvvjvhryh?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r - 45 = 0. Let n be (-2)\/(-6) + 66\/r. Let y(d) = -d**3 - 6*d**2 + 7*d + 2. Let v be y(n). Solve v*h + 10 = -0*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -1\/4*y**2 - 6 - y + 1\/8*y**4 + 1\/3*y**3. Suppose x(b) = 0. Calculate b.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + s**2 - s**4 + s**3 + 2*s**4 + 0*s**3 in the form a*s + j + o*s**3 + c*s**4 + v*s**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16ec72 (base 16) in base 14?\nAnswer: 2b16ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 10*g - 31. Give r(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5863 - 12933 = 106*t - 3532. Is -1592\/11 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 2*s - 474. List the prime factors of s.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 50 = 55 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, -66, -199, -456, -879, -1510, -2391, -3564?\n\"Answer: -7*t**3 + t**2 - 5*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27018, -5, -572, 1\/2.\nAnswer: -572, -5, 1\/2, 27018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 5. Let c be w(6). Let f be (c\/(-2))\/(4\/24). Let o = 5 - f. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 u, and 1 g when three letters picked without replacement from {i: 2, u: 5, k: 5, p: 2, g: 1, s: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from mijxxmjrzzxmmzxjm?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/5 - 636351*j**2\/5 - 1272693*j\/5 - 127269.\nAnswer: -3*(j + 1)**2*(j + 212115)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8068151 is divided by 35230.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y - 108 = 11*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4*(-12 + 0). Let n be 16\/(-45) - l\/81. Let o = -2.2 + 2. What is the third biggest value in 5, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 122 - -2*(-20)\/8. Let i = u - 114. Suppose -i*l + 5*m + 41 = 0, -l - 4*m = -m - 9. What is the lowest common multiple of 66 and l?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 5*d + 21, -45883*d = -45885*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7864542315.6 + -7864542653.60000221. Let j = 335.11 - -2.89. Let s = j + d. What is s rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, h: 3}. Give prob of picking 1 j and 3 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 37375 = 37376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 3*r**2 - 4*r - 5. Let p(l) = -l. Let k be p(-5). Is a(k) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3 = 1, 2*h + 46 = -d. Let n = h + 12. Let x = n - -17. Solve 5*g + x + 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*n - 2*n + 109 = 0, -2*n + 2 = 0. Suppose 3*d + 7 = s. What is the highest common factor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - q - 2*q**2)*(-42*q**2 - 22*q**2 + 31*q**2 + (0*q + 0*q + 2*q)*(4*q - 4*q - q)) as c*q + s*q**4 + u + i*q**2 + w*q**3 and give s.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/976 and 11\/4?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62.8 + 63. What is the biggest value in -0.1, 5, 0.022, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 14) in base 15?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*14505\/(-3868)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.107 in 8, -5, -2, 0.2, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 245 + -242. Suppose 3*x - u = 7, 15 = j*x - 9*u + 12*u. Solve 3*b = 2*a - 1, -4*b - 3 = -x*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4\/6 - 17*w**3\/6 - 29*w**2\/3 - 20*w\/3 = 0?\nAnswer: -2, -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, z: 2, p: 4, i: 3}. Give prob of sequence oiz.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110010010001101010111001011 + 0?\nAnswer: -10110010010001101010111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 11:14 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 68\/28 + (-6)\/14. Let p = l - -1. Let j be (p + -1)\/(3\/3). Solve -2*r - j*r + 20 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -103*x**2 + 340*x - 2235. What is h(6)?\nAnswer: -3903","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -268\/9. Let j = 115.3 + -115. Let v = j - 0. Which is the second biggest value? (a) v (b) 0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4662 + -338. Round m to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8*(52\/12)\/13.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4750?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600 is divided by 268?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-15)\/(-3)) + (-47992)\/10. Let k = -43142\/9 - z. Find the common denominator of 43\/18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qciqquqqu. Give prob of picking 1 c and 3 q.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27615 (base 13) to base 9.\nAnswer: -121773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - -6120?\nAnswer: 6135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 470\/6345 + (-187)\/(-27)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 57671076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 15*h**3 - 11*h**2 + 13*h + 17. Suppose 0 = q - 2*q - 1, 27 = 4*n - 3*q. Let f(d) = -7*d**3 + 5*d**2 - 6*d - 8. Determine n*l(z) + 13*f(z).\nAnswer: -z**3 - z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13 and -314.\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = i - 4*n, -3*n + 7*n = 2*i - 248. Suppose -i = 13*z - 509. What is the remainder when 54 is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 306\/39 + (-6)\/(-39). Is i >= 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18536580 is divided by 264808.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -327, -971, -2153, -4035, -6779, -10547?\nAnswer: -15501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 + 1) - 11 - (2455 - 2454).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*n - 2. Suppose 5*l - 2*l = n. Find the second derivative of -l*o + o**3 - 2*o**3 + 3*o wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t**2 + 0*t**2 - 17*t - 52*t**2 + 42*t**2 + 0*t.\nAnswer: -t**2 - 17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*n - 2*n - 5*p, -19 = 5*n - 4*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 769346 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5701*d**2 + 5671*d**4 + 5701*d**2 - 4*d**4 + 3*d**4 - d**4 + (-3*d**2 + 4*d**2 + 0*d**2)*(d**2 - 2 + 2) - d**4 + 0*d**2 + 0*d**2.\nAnswer: 5669*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39663 - 2*d - 3*d - 4*d.\nAnswer: -9*d + 39663","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123 - -227. Let m = -102 + g. Solve 5*l - 23 = -m*a, -4*a + 22 + 3 = 3*l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4788 = c + 3*c. What is the common denominator of c\/(-120) - 6\/(-10) and 13\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.1 (b) 41 (c) -3\/2 (d) 2\/15 (e) 111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -673, -688, -713, -754, -817, -908?\n\"Answer: -v**3 + v**2 - 11*v - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 20 + 0 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*j**2*m + 176*j**2 - 95*j*m**4 + 6*j*m**2 + 26 wrt m.\nAnswer: 3*j**2 - 380*j*m**3 + 12*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2702.\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlklllklrkllnkkrlkl. What is prob of sequence kk?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s + 1848 = 0. Let m(f) = 106*f + 30. Let d be m(-1). Let r = d - s. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -126*u + 134*u. Which is the fourth biggest value? (a) -2\/7 (b) -3\/4 (c) u (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -143047, -285343, -427639, -569935, -712231?\n\"Answer: -142296*j - 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -394 + 384. Let b(i) be the third derivative of -i**6\/120 - i**5\/5 - 11*i**4\/12 - 3*i**3\/2 + 4*i**2. Is 4 a factor of b(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198 divided by -66\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 + 3*z - 2. Let m(n) = -n**2 - 10*n - 13. Let w be m(-9). Is 19 a factor of x(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16810 is divided by 675.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11327173 divided by -11327173?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1758 - -1758. Solve y - 1 = 2*z - f*z, -4*y - z = -4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*r**2 - r**4 - r - 11 - 23*r**2 - 2*r**3 - 14*r**2 to k*r**2 + x + i*r + a*r**4 + b*r**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(17) - 2*sqrt(17)) + 0 - (2*sqrt(17)*-5 - sqrt(17))).\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 1\/10*f**6 + 0 - 4*f + 0*f**2 + 0*f**5 - 1\/4*f**4 + 0*f**3. What is z in d(z) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*n - 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -29*v + 298. Determine y(4).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -482548.4 + 482549.05999935. Let m = i - 0.66. Round m to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 2 - ((-14 - -51) + -61)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/244 and -45\/236.\nAnswer: 14396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 45*m**2 - 24*m**2 - 22*m**2 - 3*m**2. Let l(w) = -259*w. Calculate l(p(j)).\nAnswer: 1036*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4126.07 - -4126. Which is the nearest to -0.1? (a) 1 (b) 122 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-1694)\/132))\/((-6)\/(-50)*(-30)\/(-12))?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7409 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 0 (c) 1\/4 (d) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6*y**(4\/9))\/(y**(-1))**(1\/33) assuming y is positive.\nAnswer: y**(641\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304873 (base 9) in base 11?\nAnswer: 447111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8304*c = 8302*c - 16628*c + 572 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 8*j**2 - 2*j + 6. Suppose 0*h + 128 = 2*h. Calculate the remainder when h is divided by m(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i. Let q = 0 - i. Put q, -5, -2 in increasing order.\nAnswer: -5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r + 3. Let o(v) = -1382*v + 8. Determine o(z(f)).\nAnswer: 9674*f - 4138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -0.1, -3261 in ascending order.\nAnswer: -3261, -0.1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41116811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - j - 18 = 0, 4*s - 5*j + 3*j = 72. What is the greatest common factor of s and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1026 = 3*g, -9*w + 1698 = -4*w - 3*g. What is the lowest common multiple of w and 432?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.862 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*k - 1041*k + 81*k - 754*k.\nAnswer: -1350*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 138. Let f(i) = -6*i + i + 9*i + 2*i - i. What is w(f(a))?\nAnswer: 5*a - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -28. Suppose -2*w + s = -77, -8*s + l*s = 5*w - 215. What is the highest common factor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -10, -41, -86, -145, -218, -305?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 n, 1 w, and 1 s when four letters picked without replacement from {n: 1, m: 1, a: 1, s: 1, o: 1, w: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111100101111010100 - -1000101?\nAnswer: 1111100110000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 3. What is the second derivative of -10*k**2 - c*k - 265 + 265 - 5*k wrt k?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1440.006 and -0.05.\nAnswer: -72.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 - -159.8. Let p = c + -33. Which is bigger: p or -25?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1621035 divided by -108069\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -19. Put -1, 4, x in descending order.\nAnswer: x, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -16.7 > -10\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 4*z + 3*z + (1 - 1 - 2*z)*(-3 + 6 - 4) + z - 9*z + 0*z + (0 + 1 - 2)*(-1 + 5 + 2)*(140*z + 210 - 210) to the form w*z + m and give w.\nAnswer: -845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 - 75 = -6*z. Let j = z + 250. List the prime factors of j.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.4291664 rounded to 2 decimal places?\nAnswer: 72.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 253764 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 44 - 88 = 0. Suppose -a*c + 34 = 40. What is the closest to 0 in -0.1, c, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 4*r + 5*a, 2*r + r - 29 = -5*a. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*w + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 61, -2, 5, 0.5, -2\/7 in descending order.\nAnswer: 61, 5, 1, 0.5, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -5685630.\nAnswer: -28428150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 309 - 307.7. Let k = -3 - 2. Sort q, 4, k in decreasing order.\nAnswer: 4, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127\/151 - 88702\/1359. Let q = l - -66. Let o = 0.047 - -0.953. Which is the nearest to -2? (a) q (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/7 - 240*z\/7.\nAnswer: 3*z*(z - 80)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k - 19. Let t(m) = 2*m + 6. Let u(x) = 3*x**2 - 31*x + 48. Let j be u(8). What is j*t(p) - 3*o(p)?\nAnswer: 2*p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 255906 and 30?\nAnswer: 1279530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 204*h**2 - 21*h + 12. Does 21 divide v(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, z: 4, b: 3}. What is prob of sequence zebe?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 37. Let b be (-5)\/16*(-7)\/z. Suppose 4*d + 14 = 2*d - n, 8 = -4*d + 3*n. What is the second smallest value in b, 0, -1\/4, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -9. Suppose -y - q*j = -2*y + 84, 2*y + j = 179. List the prime factors of y.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**2. Let v(d) = -2089*d**2. Calculate v(w(s)).\nAnswer: -33424*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2\/6 - 15599*c\/6 - 31572445\/3 = 0.\nAnswer: -3335, 18934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*m = -514 + 159 - 233 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -7 + (-7 - (-12 + -3) - 1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y - 11. Let r be i(-8). Find the third derivative of -44*p**3 + 4*p**2 - r*p**2 + 47*p**3 wrt p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 4, x: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {x: 1, w: 9, f: 5, c: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9050349.\nAnswer: 3, 7, 11, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y - 6. Is 3 a factor of i(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -336 + 361. Solve -q*m + 35*m = -30 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (2\/117 - (-574943)\/88686)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 141\/64178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 5:15 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**2 - 36*k**2 + 7 - 7 as r*k**2 + d + c*k and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 2. Let k = -28 + 54. Calculate the remainder when k is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71456 and 11968.\nAnswer: 2429504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -369*z + 342*z - 297 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34336071 a multiple of 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r**2 - 534*r - 3196. Give x(58).\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q - 6. Let p(i) be the first derivative of 3*i**2\/2 + 3*i + 10. What is 7*p(z) + 4*x(z)?\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 223810547857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(18\/(-3))*(-221)\/65*-5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((1 - -1 - 4) + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54 in 3, 4, -4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 5*l**2 - l + 37. Let f be y(-6). What is the greatest common factor of 56 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2\/2 + 35*v\/2 + 25.\nAnswer: 5*(v + 2)*(v + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3033 - 120002?\nAnswer: -110303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 18*u - 1. Let y be k(-4). Let p = y - -221\/3. What is the third smallest value in 4, -1\/7, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2, 4*a + 238 = 6*a - 4*x. Calculate the remainder when a is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2593 - 2469 = 4*q for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 1700*d - 365344. What is z(193)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 326.\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 2\/9, -0.2, 25, 0.4?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 4*h**2. Give v(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from wiwwwwiwwiwkwjwjkwm.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 10:56 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -1. Let v be 13\/((0 + 3)*(-4)\/h). Let n = v - 17. Calculate the highest common divisor of 176 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33.9 + 18.5. Let j = 13.4 + w. What is the nearest to j in 2, 0.03, 0, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/2*((-9856)\/1470)\/(-88)*7?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 5. Let g be x(5). Suppose -44 = -2*v - 2*s, s + g = v - 14. Suppose -86*c + 1347*c - 6305 = 0. Solve -2*n = 4, -45 = c*b + n - v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-180)\/50)\/((-3)\/200)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - (-52 - -30)) + -101?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**2 + 5*y**2 - y**2)*(1 - 2 + 0 + (-4 - 1 + 3)*(271 - 571 + 619)) as z + v*y + s*y**2 and give s.\nAnswer: -1917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*h**6 + 99*h**5 + h**2 - 53607*h?\nAnswer: -4680*h**3 + 5940*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from gxgeaagxxpgapgg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -2*q**5\/95 + 3*q**4\/38 - 4*q**2\/19 - 8. Let w(b) = 0. What is b?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 20 = 0, -x - 3*r + 35 = -2*r. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -3*q - 19, -142 = 2*b + 3*q - 104 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d - 23*d**2 - d**3 + 4 + 28*d**2 + 2 - 1. What is t(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 6 + -4 + (-1 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 - 48*o + 23. Let l be u(-23). Calculate the greatest common factor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27880 * -0.5\nAnswer: -13940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**5\/15 + l**4\/2 - l**3\/3 - 4*l**2\/3 + 61*l. Let d(x) = 0. What is x?\nAnswer: -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 682\/14 - (-6)\/21. Let b(r) = -r**2 + 4*r + 19 + j + 3. List the prime factors of b(0).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 3, h: 11, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114 - -164. Suppose 0 = s - n - 12, 10 + i = 5*s - 2*n. Suppose 0 = 4*m - s, -5*p + 2*p + m = -30. What is the greatest common divisor of p and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109 - -169. Let l be (-1)\/(-15) - (-100796)\/g. What is the highest common divisor of 105 and l?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 32 = -5*c, 3*c + 2*w - 2 + 24 = 0. Let v(n) = 7*n**2 + 11*n + 5. Let t(m) = m**2 + m + 1. Let j(o) = 6*t(o) - v(o). Determine j(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3 - 1 + 5. Suppose -5*d + 2 = -3*d. Let n(l) = -l + 1. Let m(z) = d*j(z) - 3*n(z). Give m(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5019761 is divided by 13386?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/4 - (44\/(-8) - -5). Suppose -21 = -4*j - j - 2*x, 4*j - 6 = 2*x. Solve 5*z + 17 = 3*w, z + m*z + j*w + 23 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*z - 40*z + 3*z**2 - z**2 + 0*z**2 + 2*z**2 + (0 - 5*z + 0)*(-3 + 2*z + 3) to the form k*z + d + w*z**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/79520 and -11\/2980.\nAnswer: 11848480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1570*p**2 + 3160*p**2 - 1581*p**2.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*v + 92*v = -100*v, 0 = -7*o - 4*v + 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 7*a + 2*a)*(6*a - 4*a - 3*a)*(2 - 6 - 1)*(-3*a**2 + 0*a**2 + 4*a**2).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/3 + 308*u**2\/3 - 6050*u\/3 + 10648 = 0.\nAnswer: 11, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1225 = 11*r - 161. Is r > 127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 5*j - 15 = 2*b, 0 = -b + j - 3. Suppose -o + 8 = 4*n, -5*o = -2*o - 12. Is n not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -263 - 17?\nAnswer: -27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.3779 rounded to zero dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 54 = -r. Suppose 4*p - 11 - 1 = 0. Let l = 0 + p. Solve -5*t - 6 = -3*x, -2*t - r = l*t + x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v. Suppose v = q + 45 - 125. Round q to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -16*m + 354. Let f be t(22). Solve -f*u + 0*g - 4*g + 22 = 0, -2*g = -u - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 16 - 1. Suppose 0*s + h = -5*s + 14, -x*s + 12 = 3*h. Suppose -s*d = -5*d + 10. What is the second biggest value in d, -0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 4*v = -18. Let m = v - -12. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59768*r - 59621*r + 3675 = 0 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 188, 266, 326, 362, 368, 338?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t**5 - 244*t**4 - 42*t**2 - 2381540*t wrt t?\nAnswer: -80*t**3 - 2928*t**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.4 - 1. Let z = 3964 + -3959. Put z, 1\/3, b in decreasing order.\nAnswer: z, b, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**4 - 10 + u**2 + 8 - u - 3*u**3 + 0*u**4. Let i(x) = -5*x**4 + 13*x**3 - 4*x**2 + 5*x + 9. Let s(k) = -2*i(k) - 9*y(k). Factor s(m).\nAnswer: m*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -3*w**2 + 13. Let y(n) = 3*n + 4. Let c(d) = -6 - 2*d - 5 - 6*d. Let r(v) = 4*c(v) + 11*y(v). Calculate i(r(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide (-6)\/21 - -2*(-22122)\/(-63)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.28734086 rounded to four decimal places?\nAnswer: 2.2873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -53*i. Let u be 9\/(-72)*-8 + 149\/1. Let w(p) = -u + p + 150. Give w(r(v)).\nAnswer: -53*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494 = 19*l + 23*l - 220 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 p, and 1 f when four letters picked without replacement from fjpkjjjpjjpkjwwjppfj.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 708.2352 millimeters in micrometers?\nAnswer: 708235.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 59, 15, -39, -103, -177?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*d - 12 = 22, -2*o + 22 = -3*d. Let k be 54\/2 - 24\/o. What is the smallest common multiple of 5 and 5\/(75\/k)*5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38985 is divided by 9738?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7056)*-2)\/sqrt(7) - 1*(sqrt(175) + sqrt(175) + -1).\nAnswer: -34*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/11, 7, -0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 7. Suppose 3*s + 14 = s. Let v be d(s). Suppose -5*r + 2*n + 135 = v, 2*r + 0*n = -3*n + 54. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.677? (a) 1\/4 (b) -1\/6 (c) -412\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 1759, 2, -12, -4, -5 in increasing order.\nAnswer: -12, -5, -4, 0, 1, 2, 1759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 0. Let x be (8\/s)\/((-8)\/28). What is the third smallest value in x, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 smaller than 156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - n**2 - n + 3. Let h be s(0). Calculate the lowest common multiple of 8 and 12*h\/(-3 + 6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2\/3 + 9794*r\/3 - 126308 = 0?\nAnswer: 39, 4858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5006 take away 1.04405893?\nAnswer: -0.54345893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as -2366\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, w: 3, t: 6}. Give prob of picking 2 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -118153? (a) 0.2 (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135306 and 138.\nAnswer: 3112038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**3\/13 - 4506*p**2\/13 - 3384006*p\/13 - 847129502\/13 = 0.\nAnswer: -751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 401, 795, 1189, 1583, 1977?\n\"Answer: 394*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 13*m - 5. Is v(5) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19 and 5.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*b**3 - 31*b**3 - 59*b**3)*(-17*b - 17*b + 16*b) as i*b + y*b**3 + g*b**4 + w + n*b**2 and give g.\nAnswer: 1710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1039, 2082, 3125, 4168, 5211, 6254?\n\"Answer: 1043*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 - 103 - o**3 - 177.\nAnswer: -o**3 - 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a micrometer in nanometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 32. Let f be (1 - (0 + (3 - l))) + -3. Suppose 30 = 3*q + 2*q. Let x(v) = 7*v. Let h(d) = 8*d. Calculate f*x(m) + q*h(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/136749?\nAnswer: 2\/136749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {t: 2, g: 2, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*z + 4, 2*b + 1 + 7 = 0. Calculate the remainder when 38 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68644 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1631 and 10853839.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 3*n + 3*j, -910*n - 20*j - 227 = -913*n - 4*j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*d - 5, 0*h - 4*d = 4*h - 20. Which is the nearest to 4? (a) h (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxaexaeleaxxljelee. What is prob of sequence lej?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21, 1795.8, 15\/8?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-18 - (18 - 35)) - (-1 + -20).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2780 by 2565.\nAnswer: 556\/513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 211792103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-28)\/(-35) - 2\/(-10) - -815?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1200 * 27.402\nAnswer: 32882.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(48) + sqrt(48) + sqrt(3) - sqrt(18)\/sqrt(96)) + -4)**2.\nAnswer: -175*sqrt(3)\/2 + 4075\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3073034, -6146071, -9219108, -12292145, -15365182, -18438219?\n\"Answer: -3073037*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 179\/1045 - -1\/95. Let x be 10*2\/40*(-1 + 0). What is the second smallest value in s, x, 6\/11, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/340 and 149\/408?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u + 47. Let d be q(17). Let j be 10\/25 + d\/(-505). Let c = j - -223\/707. What is the second biggest value in 3, -2\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/3)\/(4\/30). Let r = 58 + -92. Let j = 34 + r. Solve j = -3*d - 2*d - p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 28*u**2 - 29*u + 47. Let i be t(27). Let f(k) = -k**3 - 6*k**2 + 6*k + 5. What is f(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by -4726.\nAnswer: -56\/2363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2613066, 0.01, 0.2, -3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 1735 = -1693. Which is the smallest value? (a) 18 (b) o (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3715*s + 1000*s - 458279 = -1086*s for s.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1700) - (sqrt(1700) + 2 + sqrt(1700))*-5) + 3 - (-4*sqrt(1700)*-1 - (sqrt(1700) + 1)*1))**2.\nAnswer: -108996 - 2240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -33 (b) -0.03 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -1. Let m = 5 - 4.8. Sort m, 2, t in increasing order.\nAnswer: t, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, z: 1, d: 4, i: 4, s: 3}. What is prob of picking 2 s and 1 l?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 269 + -274. Which is the nearest to 2\/3? (a) 0.2 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-220)\/(-8))\/(18\/12 + -1).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (0 - 31) + -2. Let n = d + 33. Suppose 2*j - 4*t + 4 = 0, j + n*t = -3*t + 26. Calculate the smallest common multiple of 30 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 - -20)*(-3)\/(-6). Suppose -4*g + 106 = 2*n, -g = 4*n - k*g - 186. Is 49 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c - 27*c = 210. Suppose 4*z = 11*z + c. Do -5 and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c2 + 8?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**2\/2 - 51307992*u + 438751673845344 = 0.\nAnswer: 17102664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96 by 4.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (-2 - 3))\/(-2). Suppose s - 3*s = 5*c - 20, -r*c + 5*s = 19. Solve c - 4 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + 636.\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 54. Suppose -i + 2*k = -3 + 14, -2*i + 2*k = j. Let d be -1 + (-2)\/(-3) - i\/3. What is the greatest common factor of 54 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-4))**(-2\/87)\/(i**(-2\/9)*i**(3\/7)))**(11\/4) assuming i is positive.\nAnswer: i**(-2761\/7308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -340085221 + 7?\nAnswer: -340085214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3505, 7010, 10515, 14020, 17525?\n\"Answer: 3505*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13530702 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - f + 881 = 833, 2*f = -3*s + 26 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/72*((-25)\/5)\/(30\/12)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Suppose -v = 4*g + 19, g + 123 = -2*v + 113. Put v, f, 0 in decreasing order.\nAnswer: f, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 164 + 42 + 4*p + 39 + 32.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -380 + 143. Let m = 357 + b. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 11:32 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - (-51 + -1 - -179).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -18 - (-1)\/(11\/46)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 - -1.95?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 752188.1l to millilitres.\nAnswer: 752188100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 887 = -112. Suppose 1508 = h*t - 2*t. What is the greatest common divisor of 156 and t?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asaasaaaa. What is prob of picking 2 a?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 33 + -69 - -35?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 - 2)*(-2 + 2 + m) + (4 - 2 + 3)*(3*m - 4 + 4))*(3*m**3 - 6*m**3 + m**3)*(-2 + 2 + 2) in the form j*m + q*m**2 + a*m**4 + k*m**3 + g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*s + 0*s + 4840 = 26*s for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31 + 1.195\nAnswer: 32.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -103, -187, -273, -361, -451?\n\"Answer: -j**2 - 81*j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-36)*3)\/(2\/8).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66139?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 + 1 - 12 + j - j**3 to d*j**2 + u*j**3 + h + q*j and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/27 - 101\/(-9). Does 25 divide (-1 + a)\/((-13)\/(-65))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41.92 - -42. What is the closest to 2 in t, 4, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1769160, 1769161, 1769162?\nAnswer: 1769163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*i = 481 - 157 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57\/11 less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/105)\/(((-6)\/(-2))\/45)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*r**3 - 26272*r**2\/5 - 2874156*r\/5 + 383688\/5.\nAnswer: -4*(r + 219)**2*(15*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -k**5\/10 + 5*k**4\/24 - 11*k**3\/6 - 5*k. Let o(r) be the second derivative of a(r). What is the derivative of o(c) wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 1170.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 11:18 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**4*v + 15*d**3*v + 26021*d**3 - d**2*v + 35905*d*v - 57*v wrt d.\nAnswer: 72*d*v + 90*v + 156126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 10:07 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w = 17*w + 14 - 166 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 231?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + -2 + -2*sqrt(1053) + 0 + -6*sqrt(1053)*2)**2*-1.\nAnswer: -206392 - 504*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066702 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 86 - 74. Suppose r*s - 1364 = 36*s. Round s to the nearest 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2099349\/160 + 13121. Let h = z + -1553\/480. Which is the second smallest value? (a) 0.4 (b) h (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 11*o + 39 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 330*p + 7571*p + 5900*p - 1338*p as h + q*p and give q.\nAnswer: 12463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 * -4.462.\nAnswer: 133.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-3))\/2*353\/(614926\/1608).\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33438 (base 9) to base 6.\nAnswer: 250525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-70)\/105*((-18)\/(-26) - 0). Which is the third biggest value? (a) l (b) 4\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - w - 4*w + 29, g = 4*w - 16. Let t be 47\/(-423) + 625\/(-45). Put 5, t, g in ascending order.\nAnswer: t, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -14*o**2 + 29*o - 7. Let d(n) = -5*n**2 + 10*n - 2. Let a(l) = 11*d(l) - 4*i(l). What is the remainder when a(5) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/13, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 10. What is p(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9143*p + 146308. What is g(16)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000201101 + -212100?\nAnswer: 222212001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 4*h**2 - 2*h + 3. Let p be q(2). Let k be (2\/p)\/((-5)\/(-35)). What is the second derivative of -3*z**k - 6*z**2 + 11*z**2 - 5*z wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 16 = 4. Let o(h) = 4 + h**3 + 0 - 4*h**2 + 0*h**3. What is o(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2194621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2*-292*(5\/(-2) - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 10*b - 19*b + 2 + 45*b as h + q*b and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 9*s - 2. Let w be (-35)\/(-10)*60\/7. Suppose 7*t + 86 = w. Calculate k(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) -1\/15 (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -6*s + 0*s**3 + 0*s**4 - 6\/5*s**5 + 2 + 0*s**2. What is the derivative of k(d) wrt d?\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -5 (c) 321 (d) 0.2192\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 122?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1418908 to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - n**2 + 4. Let h be w(0). Let s(i) be the second derivative of 2\/15*i**3 - 1\/30*i**h + i + 0*i**2 + 0. Solve s(p) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 16 - 8. Let p be (2 - w\/8)*(9 + 1). Let 0*a + 0*a**2 + 1\/4*a**4 + 0 + 0*a**3 + a**p = 0. What is a?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/14 - 592\/(-216)*3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776969 is divided by 29868?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -106, -341, -672, -1099, -1622, -2241?\n\"Answer: -48*m**2 - 91*m + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r. Let o(c) = 13*c**2 - c. Let w be 7 + -6 + 2 - 2. Give w*q(b) + o(b).\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 - -314. Let f = c + -130. Let b = f - 106. What is the nearest to 0 in b, 2\/9, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192851, -387640, -582429, -777218?\nAnswer: -972007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o = 43*o + 5330. Which is the second smallest value? (a) o (b) 0.3 (c) 0.4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**5\/20 - d**4\/2 - 7*d**3\/6 - 2*d**2 - d. Suppose -5*y - 10 = -3*y. What is the units digit of j(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 409194 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**2 - 13*u - 11. Let r(i) = -8*i**2 + 14*i + 11. Let j(y) = -6*r(y) - 7*z(y). What are the prime factors of j(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4 - 978*p**3 - 42522*p**2 - 82118*p - 40572 = 0. What is p?\nAnswer: -441, -46, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1300) + -2)**2.\nAnswer: -200*sqrt(13) + 6520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215601 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-447 + 975 + 1951)*(4*f - f - f)*(3*f**2 - 5*f**2 + f**2) to the form g*f**2 + v*f + z + n*f**3 and give n.\nAnswer: -4958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) 4 (c) 0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4423*p + 2 - 7742*p.\nAnswer: -12165*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from goggdbddogddd.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67912?\nAnswer: 2, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49207693?\nAnswer: 29, 1163, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*w**4 - 62*w**3 - 58*w**3 + 67*w**2 + 131*w**3 - 37*w**3 wrt w?\nAnswer: -144*w - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p - 27568 = 52336. List the prime factors of p.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h - 27. Let p = -172 - -180. Let k be m(p). What is the greatest common divisor of 232 and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 400 (base 8) to base 5\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 9 = 2*i. Suppose -56 + 146 = i*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -912*j**3 - 304676*j**2 - 505868*j - 202104 = 0 for j.\nAnswer: -25263\/76, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(0*c**3 - 4*c**3 + 3*c**3) + c**3 - 3*c**3 + c**3 + 2 + c**3 - 2 + 64*c - 64*c + 31*c**3 as q*c**2 + v + a*c**3 + w*c and give a.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 13. Let v be q(0). Let y(i) = 0*i**2 - 6 + 4*i**2 - 5*i**2 - v*i. Is y(-12) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m + 3*m - m)*(-4 + 2 + 3) - m - m + 0*m - 3*m + 2*m + 3*m + 2*m - 1 + 1 + (-3 + 12 + 6)*(-4 + 4 + 2*m) in the form o + b*m and give b.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/54 and 20 - ((-2010)\/(-72) + -4).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 + -202122?\nAnswer: -210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqg when three letters picked without replacement from {c: 1, z: 3, g: 2, q: 2, j: 2, l: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000051767684 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145 + -125. Suppose -3*t + u = 7*t. Solve t*g + 5*k - 1 = -6, g - 2*k - 2 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1154, 1157, 1172, 1205, 1262?\nAnswer: 1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -265.\nAnswer: -1\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14605494 or -14605510?\nAnswer: -14605494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-1 + 4 - 2). Suppose -6*z + z = -60. Let k = z - j. Solve -2*t + 2*l + 1 = 7*l, k*t + 3*l = 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, -40, -85, -166, -295, -484, -745?\n\"Answer: -2*h**3 - 7*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 t when four letters picked without replacement from tqtqtqwqtwwqqqqw.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + (1 - -2))\/(5\/165). What is the highest common divisor of 55 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 17*u = 3*y - 9, 4*u - y - 22 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132030 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -821*d - 26165 = 2570 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4104.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, y: 5, p: 1, g: 4}. What is prob of picking 1 p, 1 f, 1 y, and 1 g?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11274497093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**13*d*d)\/d)\/(d*d**1))\/(d**(2\/7))**22 assuming d is positive.\nAnswer: d**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -9*s**3 - 69*s**2 + 24*s = 0.\nAnswer: -8, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 954083 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 161 = -15*p. Suppose -p = 8*d - 14. Let l(q) = -q + 1. Let z(y) = 4*y + 3. Let t(j) = 3*l(j) + z(j). Determine t(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -673 + 741. Let k = -668 + 425. Let m = -141 - k. Calculate the highest common factor of u and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 1. Let c be (-3)\/1*(-2)\/(-6). Let q be 2\/(-2) - (-8)\/c. Suppose 0 = 5*i - 4*i + 2. Let g(z) = 8*z - 4. Determine i*g(x) + q*j(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 84\/5*y - 84\/5*y**3 + 117*y**2 - 588\/5 + 3\/5*y**4 = 0?\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 610421 or 610388?\nAnswer: 610421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 17*d**2 - d + 17. Let q be 464\/28 - -3*5\/35. Let x be u(q). Suppose 0 = 4*p - 616 - x. Calculate the remainder when p is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = 27 - 91. Calculate the highest common divisor of l and 196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**3\/3 + d - 63. Let r = 3 - 5. Does 4 divide c(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*p + 41*o = 144*p - 534, 0 = -4*p - o - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osdoodh. Give prob of sequence odo.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 225*x**4 + 8*x**3 - 4*x + 149. Let k(v) = 452*v**4 + 14*v**3 - 7*v + 299. Let j(y) = 7*a(y) - 4*k(y). What is the derivative of j(n) wrt n?\nAnswer: -932*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/12 - 1\/3. Suppose w - 5*p = 22, -2*w + p + 4*p + 29 = 0. Find the first derivative of n**4 - w*n**4 - l + 8*n**4 wrt n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 14. Suppose s*v = 91 + 2417. List the prime factors of v.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**3 - 5 + 5)*(p**2 - 3 + 3) + p**5 - 5*p**5 + 2*p**5.\nAnswer: -7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -90*q**2. Let d(g) = 30*g - 4. What is l(d(f))?\nAnswer: -81000*f**2 + 21600*f - 1440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 + 4*j + 2. Let s be x(3). Let c = s - -16. Factor 1\/4*d**c + 0*d + 0*d**2 + 0.\nAnswer: d**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-94)\/(-30) - (-10)\/25. Let l = 16\/5 - s. Which is the closest to l? (a) 1\/2 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(76) + sqrt(76) + -2 + -1 + sqrt(76) + (sqrt(76) - ((sqrt(76) - (sqrt(76) + -4 - sqrt(76))) + sqrt(76) + -3)))**2.\nAnswer: -32*sqrt(19) + 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 616059*-0.6\nAnswer: -369635.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-10))**41\/(d**(-19)*d\/d**(-7)))**34 assuming d is positive.\nAnswer: d**(-13566)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -3\/4*z**4 + 0*z**2 + 3\/20*z**5 + 0*z**3 + 0 + 12*z. Find the third derivative of g(f) wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -14*m**2. Let l(z) = 28*z**2. Let c be -3 + 0 + -3 + 11. Let o(n) = c*y(n) + 2*l(n). Let i(k) = 2*k. Determine i(o(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 3, 0, -4, -6, 6 in ascending order.\nAnswer: -6, -4, 0, 3, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, 183, 0, -1, -3, 5 in decreasing order.\nAnswer: 183, 9, 5, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14.14 (b) -20 (c) -5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 21. Let x be (6*(1 + 0))\/((-45)\/(-120)). Let f(r) = r - 12. Let b be f(x). What is the greatest common factor of b and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48342761809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/54 + (-49)\/(-3). Suppose 1 = 17*p - n*p. Solve 2*s + 0*x + x + p = 0, -4*x - 10 = 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 164510 + 258954 + 14148. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 23 + 14\/28 + 18\/(-4). Let b(x) = 9*x - 116. What is the tens digit of b(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30557 - 20648. List the prime factors of g.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -18*s - 156. Let l be i(-9). Put 4, -16, l in descending order.\nAnswer: l, 4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221448 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5608734 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -959 and 7653269.\nAnswer: 7652310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skss when four letters picked without replacement from {k: 3, s: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 6:51 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11411 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 84240 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 > -1988388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**8\/112 + 17*p**7\/210 - 89*p**4\/12 + 47*p**2. Find the second derivative of c(f) wrt f.\nAnswer: 60*f**3 + 204*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(112))\/sqrt(2))\/((sqrt(96)*-2)\/sqrt(12)) + 2*(sqrt(112) + sqrt(112) + 1 + sqrt(112)) + -5*(sqrt(567) + -1 + sqrt(567) + sqrt(567)).\nAnswer: -223*sqrt(7)\/2 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126 (base 9) to base 15.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.62 - -17.92. Let h = f - 9.3. Which is the third biggest value? (a) 2 (b) h (c) 2\/11 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77798.6 times 232?\nAnswer: -18049275.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6) - 887\/(-2). Suppose -2*f - 1034 = 5*s, -f + 1965 = 1962. Let h = v + s. Is h a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -207*w**3 - 7*w**2 + 25*w + 59?\nAnswer: -1242*w - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9816 and 396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4*h + h = 3, 2*f + 3*h = -21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101\/536 - -18909\/87904. Find the common denominator of p and 17\/451.\nAnswer: 14432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1632 and -59\/69125400.\nAnswer: 276501600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6750 and 82476?\nAnswer: 30928500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, g: 2, s: 3, t: 13}. What is prob of picking 1 f, 1 g, and 2 t?\nAnswer: 13\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 427215 and -0.23.\nAnswer: -98259.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l + 6. Let y(i) = -4*i - 7. What is 4*y(j) + 5*z(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -1\/13 (b) 2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iciiciiiiciciiiiiiii. What is prob of picking 2 i and 1 c?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 5 + 14 - 37 - 3*w**2 - 3402*w + 6 - 2*w**3.\nAnswer: -2*w**3 - 3*w**2 - 3402*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 2*p - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(40) + sqrt(108)*2.\nAnswer: 25*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 77*u + 509. Let f be a(0). Suppose -12*g - 89 = -f. Solve -7*x + 0*x = g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from {q: 5, b: 1, j: 6, o: 2, g: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119 + -117. Solve 0 = i - 0*f - 2*f + 3, s*i = f - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -5724?\nAnswer: -5722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a year in months?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2997)\/(-6) - ((-7)\/14 - -1). Let t = j - 496. Put -174, -3, t in descending order.\nAnswer: t, -3, -174","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, d: 2, p: 1, e: 1, a: 2}. What is prob of picking 1 e and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 937147873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -121*t - 450*t - 613 + 711. Let z be h(-8). What is z rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieeloleoooyeeeli. Give prob of sequence lll.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11860?\nAnswer: 2, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -7*y. Suppose a - z + 1 = y, -1 = -3*a - z + 6*z. Let x = -1 - a. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008022 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-10)*75\/(-10). Let i = 7 - o. Solve 0 = s - i + 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from pnupacfc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 = -3*w - 0*u, -5*u = 2*w + 14. Let l(r) = 8*r**2 - 2*r - 4. What is the units digit of l(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 111724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30563445*x**4*y + x**3*y**2 + 5*x**2*y**2 + 8*x**2*y + 3*x*y - 46*x - 3*y**2 wrt x?\nAnswer: 733522680*x*y + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = q - 0*v - 6, 3*q - v - 7 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6616 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) + (-11)\/(-3). Suppose -7*t + q*t = -32. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 2552740*w + 477537225.\nAnswer: -5*(w - 510735)*(w + 187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*f = -516, -13*f - 2055 = -4*h - 8*f. Is 30 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v)**(-5\/18)*v**3\/(v\/(v\/(v\/(v*v**(-6))))) assuming v is positive.\nAnswer: v**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7827, 62449, 210657, 499233, 974959?\n\"Answer: 7797*z**3 + 11*z**2 + 10*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Suppose 2*w = 3*q - 4 - 1, 0 = -5*w + 3*q + 10. Suppose -3*y = w - 20. Solve -y*b + 10 = -a*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5\/w)**(15\/8) assuming w is positive.\nAnswer: w**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 410\/60 + ((-20)\/24 - -1) + 9840?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**4\/4 - 4*l**3\/3 - 22*l**2. Let c be n(2). Suppose 0 = -4*m + 4, j = 3*m + 11 - c. Put 4, 2\/7, -4, j in descending order.\nAnswer: j, 4, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Let c(q) = -19*q**2 - 5*q + 2*q + 2 + 36*q**2 - 6*q**2 - 9*q**2. Let j be c(z). Solve 0*k + k + j = -3*v, 5*k - 2*v - 14 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 6*h**2 - 3*h + 18. What is z(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {y: 1, d: 1, i: 1, w: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1107*y + 3302. List the prime factors of m(-16).\nAnswer: 2, 7, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17326860 rounded to the nearest 10000?\nAnswer: 17330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4139*r**3 + 4668*r**3 - 4227*r**3 + (r + r**3 - r)*(-1 + 3 + 0) + 2*r**3 - 2*r**3 + r**3 in the form l*r + b + f*r**2 + a*r**3 and give a.\nAnswer: -3695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 5*q**2 + 3*q - 4. Let c be d(-3). Suppose -c*u + 65 = -0*u. Solve 2*i = -j - 2*j + u, -3*j - 7 = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -22404\/55885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6157 - 2145. Let o = j + -24125\/6. Find the common denominator of o and -73\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3311 = -115*h - 198*h + 12*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.2 (c) 2404 (d) 2\/3 (e) 213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(26)\/sqrt(162))**2 + (3*sqrt(1573))**2 + 5.\nAnswer: 1147135\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 750 by 150.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**6 + 19*m**5 - 13*m**3 - 5*m**2 - 2?\nAnswer: 120*m**3 + 1140*m**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2) + (-1)\/((-2)\/(-4)). Let z(h) = -2*h**2 - 1. Let g(o) = o. Let k(n) = -n**2 + 5*n. Let r(t) = -5*g(t) + k(t). Give q*z(s) + 4*r(s).\nAnswer: -2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(2*w + 0*w - w + (3 + 1 - 6)*(-557 + 557 + 15*w) + 26*w + 32*w + 25 - 55*w).\nAnswer: 26*w - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 219 and 3.6359.\nAnswer: 222.6359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94712 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5501877 is divided by 35268?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -2.26.\nAnswer: 11.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2826*s**3 + 1349*s**2 - 2688*s**2 + 9 + 1339*s**2 + 20 + 12*s wrt s.\nAnswer: -16956*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -15704 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - 34. Let a be 2\/6*(0 + 6). Suppose a*w = 34 + 166. What is the highest common factor of x and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - 2*-1*sqrt(13)) + sqrt(143)\/(sqrt(44)\/sqrt(4)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q + 7. Suppose 16 - 18 = -2*w. Let v be b(w). What is the remainder when 22 is divided by ((-40)\/(-24))\/(v\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 29.\nAnswer: -20\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7390 by -5.\nAnswer: 1478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8082165, -8082164, -8082163?\nAnswer: -8082162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22022 - -200302?\nAnswer: 112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 + 99. Which is the closest to -2? (a) 1\/2 (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85\/(-1785))\/((-1)\/2*-1).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405955 is divided by 135097.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2908181658?\nAnswer: 2, 3, 484696943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(3) + sqrt(3) + sqrt(3)*-1)**2 + 3 - -3*(sqrt(3) - sqrt(3)*-2)**2 - ((sqrt(432)*-4)**2 + 5).\nAnswer: -6821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 11*b**2 - 34*b - 25. Calculate q(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 8. Suppose 19*w - 391 = -163. What is v(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (257 - 257 - 33*q + 2*q + 0 + 0 + (3*q + 2*q - 3*q)*(-2 + 4 + 0) + 1 + 2*q - 1 + q - q + q)*(2 + 4 - 3) as o*q + m and give o.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(99)*-1*-1 + (sqrt(99) - ((sqrt(99)*-1*2 + sqrt(99) - sqrt(99)) + sqrt(99))) - 4*(sqrt(99)*3 + -4))**2 + -5).\nAnswer: -864*sqrt(11) + 8270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2241 + 1789*i - 263*i - 5661*i wrt i?\nAnswer: -4135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -64 - 16\/3*b**3 - 2*b**2 - b**4 + 24*b. Find g, given that n(g) = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -126\/739 or 47.1?\nAnswer: 47.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191 - -287. Is 98 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -321 (base 5) to base 9\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s)**(-49)\/((s*s**(-5))\/(s\/s**(2\/27))) assuming s is positive.\nAnswer: s**(-1190\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 2:16 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 42*h + 40*h = -38, 2*h - 6 = 0. Which is the smallest value? (a) 2.2 (b) v (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 3*c + 5*u, -14*u = -c - 11*u - 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 10*d - 1. Let c(l) = -2 + 8 + 2*l**2 + 3*l**2 + 41*l - 3. Let z(s) = -6*c(s) - 26*o(s). Solve z(v) = 0.\nAnswer: -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 1 - 2. Let s = 33 - 33. Suppose s = -3*c - 42 + 48. Which is smaller: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + g - 7 in the form f + d*g and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19839 - 6238 = -469*x for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*y + u + 2*u, 3*y - 5*u + 14 = 0. Suppose -4*s + 10 = o - 3*s, 0 = y*s + 10. What is the remainder when (-1 + 9\/(-2))*-8 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 18) + (16 - -19) + 18 + -36?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 4*h**2 - h - 3. Let z be -1 - (-8 + (-4)\/(-1)). Let i be o(z). Let b = -0.07 - 4.93. What is the third smallest value in b, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 3*q**2 - 4*q + 4. Let o = -75 + 71. Let d be l(o). Suppose u + 2 = 3*w, -2*w - 5*u - 3 = 7. Solve w = -d*t - 8 - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -0*o + 7*o. Suppose 23 = -k + 12. Let l be -8*(4 - k\/(-2)). Calculate the greatest common divisor of l and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1567750 (base 8) to base 14\nAnswer: bb97a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -10. Let o = 18 - n. Calculate the lowest common multiple of (-14)\/(-6)*(1 + 2) and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 195901 = -2*v, -53869 = 5*g + 5*v + 142011. Let u be (-1695)\/(4 - g\/(-9800)). What is u rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819*x - 138 = 842*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(1 - (-4 - -12)). Let y = -35 + d. Suppose -72 = -5*q - y*q + 3*n, 5*n = 5*q - 80. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.37147 - -0.373. What is y rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1588 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -464\/49 (c) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75 + 115. Calculate the lowest common multiple of 44 and a.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2 + 2 + 8*o - 9*o. Let z be (-1)\/2*(-1 + 3). Give y(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 699 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6*z + z**3 + 22*z - 212*z**2 + 221*z**2)*(56*z - 35*z - 5 + 6) as m*z + q + o*z**2 + r*z**3 + l*z**4 and give r.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/87? (a) -2 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*m = -g - 1, -4*m = g - 31. Let z = 18 - g. Let l = -49 - -50. Solve 2*u - l = -z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*k**5 + 0*k - 5*k**2 + 55*k**5 + 0*k wrt k?\nAnswer: 660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/12 + (-350)\/84. Let f = 0.18 + -0.28. What is the smallest value in 8, f, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t - 3 - 2 + 6*t + t - t**3.\nAnswer: -t**3 + 3*t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**6\/720 + 47*x**5\/360 - 23*x**4\/72 - 253*x**2. Factor p(s).\nAnswer: -s*(s - 46)*(s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, t: 7}. What is prob of picking 2 t and 1 e?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10892 + 10891.9974019. What is p rounded to five dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4711 or 4713?\nAnswer: 4711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 649, 5, -5, 0, -24 in decreasing order.\nAnswer: 649, 5, 0, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -10\/149 (c) 197\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1\/5*(-1400)\/(-1120).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - c5420?\nAnswer: -c5429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 107572*x**4 - 11*x + 42006663 wrt x.\nAnswer: 430288*x**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14306 and 23?\nAnswer: 14306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khmkfmkfkkfcmmmcmc. Give prob of picking 1 h and 1 k.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*v = 36*v + 65. Let d(t) = -3*t**3 - 3*t**2 + 2*t. Let s(k) = -k**3 - 2*k**2 + k. Calculate v*s(g) - 3*d(g).\nAnswer: 4*g**3 - g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k + 18*k - 734747. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 92. Suppose -4*y + 27 = -u. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 28*x + 545. Is 10 a factor of i(-43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 1563492190562.9.\nAnswer: 1563492190563.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36477 + 36529. Suppose 3*n - n = 5*u + 8, -u = -5*n - 3. Let l be ((-12)\/u)\/3 - -49. Is l equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(405)*-2*-1 + 1 - (sqrt(15)\/sqrt(3)*-2 + 0 - (1 + sqrt(605))*-4))**2.\nAnswer: 144*sqrt(5) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*g**3*p + 14*g**3*s + 2*g**2*p + 339*p*s wrt g?\nAnswer: -15*g**2*p + 42*g**2*s + 4*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249680 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 77178.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10 - (6 + 0)) + -20 - -2) + 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-29)\/a)\/a**(-18) assuming a is positive.\nAnswer: a**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 7:14 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3*p*p**5*p*p)\/((p*p\/p**5)\/(p**(-1\/4)*p)) assuming p is positive.\nAnswer: p**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 1:53 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**4\/w)\/(w*w*w**(1\/6)))**38 assuming w is positive.\nAnswer: w**(95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -332 + 295 - (-30 - -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 58 = g, -r + 46 = 4*g - 148. Let u(d) = -12 + 3 - g*d - d**2 + 36*d. Is u(-7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7876 (base 15) to base 7.\nAnswer: -134310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 220305428 to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 305 - 41 = 0. Suppose 2*g - l = 4*g. Let i = g - -74. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*h = 10058, 3*h - 7357 = -2*m + 12759. What are the prime factors of m?\nAnswer: 2, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116741987 divided by 7\nAnswer: 116741987\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 502722304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (15 - 24 - (-45 - (-8 + 6 - 2)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2511 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -c + 26373 - 4495, 65670 = 3*c - 3*n. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2127 is divided by 83?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = 2*r - 10*v - 28726, 0 = 2*r - 2*v - 28746. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -264054, -1056307, -2376728, -4225317, -6602074, -9506999?\nAnswer: -12940092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p - 1. Calculate v(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/33124 and -63\/676.\nAnswer: 33124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 23, 46, 77, 116, 163?\n\"Answer: 4*q**2 + 3*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 33.5+26\nAnswer: 59.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.126 - 4868.673403?\nAnswer: -4868.799403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8750)\/625 + (3 - 32)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.3. Let o = 5.6 + -6. Let q = o + 0.5. What is the second biggest value in 0.2, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/1320)\/(2\/4). Let s = t - 401\/660. Let r be 0\/(1 - (1 + -1)). Which is the closest to r? (a) 0.3 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152 + -146. Let c be (-6)\/p - -5 - 5. Put 4, c, 0.4, -1.1 in descending order.\nAnswer: 4, 0.4, c, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5\/6)*w**(-6)*w*w)\/(w**(-1\/2)\/(w**(-1)*w)))**19 assuming w is positive.\nAnswer: w**(-247\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x + 15. Let a be z(7). Let k(d) = 2*d + 11. Let c be k(a). Calculate the smallest common multiple of 15 and c + (2 - (-2 + 3))*3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -2 - -3 - (-614 + 575)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1996 rounded to two dps?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -6, -0.05334, 1\/15 in decreasing order.\nAnswer: 1\/3, 1\/15, -0.05334, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - 5.3. Let a = 6 + j. Let s = a + 0.2. Put -1\/5, s, 5 in decreasing order.\nAnswer: 5, s, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**9\/(c\/(c**(-1\/5)\/c)))\/(c\/(c**(-3)\/c*c)*c**4) assuming c is positive.\nAnswer: c**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(2 + 12\/(-2)). Let r = 10 + h. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 13 - 1 = 0. Let c(w) be the second derivative of w**4\/12 - 4*w**3\/3 + 29*w**2\/2 + 25*w. Let n(l) be the first derivative of c(l). Determine n(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8*t. Let p be q(3). Let w = 43 - p. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 - -97.24. Let m = 2.75831 + l. What is m rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c**2 - 3*c**2 - 2*c**2 + 3*c**2. Let a(t) be the first derivative of -2 + 0*t + 1\/2*t**2. Give a(k(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -195 + 368. Let x = -308 + s. Let y = x - -135.0000142. Round y to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 8. Suppose 3*b + 3*d - 3 = -2*d, 0 = -c*d + 12. Is 237\/21 + b\/14 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -597*24\/7074 - -2. Let x be ((-2049)\/(-23580))\/((-2)\/(-164)). Let p = x + r. Find the common denominator of -12\/5 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22855, -22854, -22853, -22852, -22851, -22850?\nAnswer: -22849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-27)\/f**(-15))**(4\/17) assuming f is positive.\nAnswer: f**(-48\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbpk when four letters picked without replacement from {z: 3, k: 2, i: 1, b: 6, p: 2}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -6)\/((-1)\/(-3)). Suppose 0 = -x*n + n + 6. Sort 0, 1, n in ascending order.\nAnswer: 0, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2975, 25, 1, -6 in increasing order.\nAnswer: -24, -6, 1, 25, 2975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4461 + 4*w - 2*w + 4461.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3778.4 at most as big as 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*p - 144*p = -84 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(75))**2 + sqrt(3) + sqrt(48)*2.\nAnswer: 9*sqrt(3) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, 0, 39167, 1\/5, 1, 72?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3899 + -3278. Calculate the lowest common multiple of 414 and q.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + 748*o**2 + 73*o**2 - 150*o**2 to the form x + a*o + h*o**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -8*h - 2*j + 18, 5*h - 2*j - 14 = 0. Let b = -32 + 54. Let f be b\/33 + (-7)\/(-3). Solve -h = x - f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 732*f - 729*f + 1, 5*f - 17 = -4*b. Solve -b*i - 14 = -4*i + 2*u, 3*i - 4*u = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 6 - (-4 - -7). Solve 0 = 2*l - 0*l + 10, -2*f + 4*l + 18 = s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -5, 0.1, 2\/5, 12.08, 1\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and (-8)\/(-3)*(-135)\/(-18)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**5\/3 - 28*z**4 - 296*z**3\/3 - 424*z**2\/3 - 92*z - 68\/3.\nAnswer: -4*(z + 1)**4*(z + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 567, 536, 485, 414, 323?\n\"Answer: -10*d**2 - d + 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*s - 4, -q - q - 4*s = 4. Let o(u) be the second derivative of 2*u**2 + 0 + q*u**4 - 2\/15*u**6 + 4\/3*u**3 - 2\/5*u**5 + u. Factor o(i).\nAnswer: -4*(i - 1)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12436952\/3 or 4145650?\nAnswer: 12436952\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*1*(2 + (sqrt(275) + -2 + sqrt(275) + sqrt(275))*-2))**2*6.\nAnswer: -864000*sqrt(11) + 23846400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 15*k**2 + 32*k + 41. Let x be o(17). Let i(c) = 7*c**3 + 4*c**2 - 2*c. Let g(y) = -22*y**3 - 13*y**2 + 6*y. Calculate x*i(u) + 2*g(u).\nAnswer: 5*u**3 + 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -5*b + 11, 19240*b - 19237*b - 3 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44903*g + 111043*g**3 + 3*g**2 - 111029*g**3 - 44903*g.\nAnswer: 14*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25192186*r*s + s - 6386388 wrt r?\nAnswer: 25192186*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31063509 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 1)*(-3 + 5 + 0)*(-2 + 2 - 1)*(2 - 2 - 2*v**2) as m*v + s*v**2 + c and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-1 - (-28)\/8). Let d(n) = n**2 + 4*n - 6. Calculate d(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1045071835?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.08 - -0.12. Sort -2, n, 0.3, 10.\nAnswer: -2, n, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 6*o + 7. Let s be v(5). Suppose -7*h = -s*h - 65. Find the third derivative of h - 2*g**2 + 21 - 34 - 28*g**3 wrt g.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -23 - (3 - 2)\/(-1). Let k = n - -42. Suppose -7 = -2*m + 13. Calculate the highest common divisor of k and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 403, 800, 1183, 1546, 1883, 2188, 2455, 2678?\n\"Answer: -b**3 - b**2 + 407*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(65\/(-6))*(-2 + 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5 - 84*p**4 - 712*p**3 - 2176*p**2 - 2928*p - 1472.\nAnswer: (p - 92)*(p + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**3\/2 - 77*f**2\/2 - 284*f - 552 = 0.\nAnswer: -69, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28313, 118117, 267789, 477329, 746737?\nAnswer: 1076013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -212*u**2*y**3 + y**3 + 42*y wrt u?\nAnswer: -424*u*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j - 10 = 0. Let g(c) = -25*c**3 + 104*c**2 - 19*c + 21. Let x be g(4). Solve y = -2*s + 3*s - x, 40 = -j*y + 4*s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + 1 - 4 + 3 to c*n + z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2000 - -1995.095. Round s to 1 decimal place.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + 25. Let g = -48402 - -48409. Calculate the remainder when f is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, r: 13, x: 3, d: 2}. What is prob of picking 3 x?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 9892.926?\nAnswer: -3957.1704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36990\/2145 + -17 - (-6)\/(-39).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000069699172 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4886501?\nAnswer: 4886501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28037153 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 1\/6, 2, 59, 3 in descending order.\nAnswer: 59, 3, 2, 1\/6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 5) to base 16\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.07 (b) 147340\/67 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3473800 divided by 110.\nAnswer: 31580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1312 - 3935\/3. What is the smallest value in k, -9, -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-1\/11)*(o**(-37)\/o)\/o assuming o is positive.\nAnswer: o**(-417\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5099.742 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*i - 7*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 2*q + 5*q)*(0 + 6 + 0) to the form p*q + n and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -126, -215, -308, -405, -506, -611, -720?\n\"Answer: -2*w**2 - 83*w - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(sqrt(80) + sqrt(80)*-1 + -5))**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(55) - (sqrt(6655)*-1 + sqrt(6655))) + (sqrt(55) - (sqrt(165) + (sqrt(165) - sqrt(165)*-2))\/sqrt(3)))\/((sqrt(5) + sqrt(60)\/sqrt(48))*6))**2.\nAnswer: 44\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(((q*q**9*q)\/q)\/q))\/q)\/(q\/(q*q\/q**1*q*q))*(q*q**(1\/2))**31)**38 assuming q is positive.\nAnswer: q**1501","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -13*t**2 + t. Let p(w) = 8589*w. Calculate n(p(v)).\nAnswer: -959021973*v**2 + 8589*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (0 - 0\/(-2)). Let t be 2\/(l + 2)*0. Suppose -2*p + 20 = 5*b, 2*p + 0*p = -2*b + 8. Solve u + 2*z - 13 = -t*z, -5*u + 35 = b*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 1\/2, -202, -1.6, 4, -0.1 in decreasing order.\nAnswer: 4, 6\/5, 1\/2, -0.1, -1.6, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-5*k - 10*k + 4*k)*(k - 10*k - 1 + 7*k).\nAnswer: -44*k**2 - 22*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwnnwnnnwnnwwwnnww. Give prob of sequence ww.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54058423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2433 (base 5) to base 6\nAnswer: -1412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from kpmkmammmkmmpmmxpmp?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.38 - 1763.45.\nAnswer: -1763.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 102839280 to the nearest one hundred thousand.\nAnswer: 102800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3505 + -3?\nAnswer: 3502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13095996*k**3 - 13544569*k wrt k.\nAnswer: -78575976*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653.8733 micrometers to nanometers.\nAnswer: 653873.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 1572865.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (400 - 2 - 5) + -1. Suppose 2*n - w = -2*h, 0 = -n - 5*h + 198 - 10. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -245*x + 35. Let q(d) = -41*d + 6. What is 35*q(c) - 6*y(c)?\nAnswer: 35*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.7 + -8. Let x = -0.046 - 44.954. Let p = x + 43. Sort 2, p, r in increasing order.\nAnswer: p, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**3 - d**2 + d - 1. Let r = -4 + 4. Suppose -4*x + 0*x + 2*w - 2 = r, 4*x = -4*w + 4. Let i = 1 - x. What is l(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1838, 8249, 18944, 33917, 53162, 76673?\n\"Answer: -h**3 + 2148*h**2 - 26*h - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l + 40. Suppose b + 7*r - 4*r = 183, 4*r - l = 0. Suppose 10*u + 27 = b. Calculate the remainder when 73 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16124007 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + c**2 - 8*c + 16. Give x(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92710425 a multiple of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 25*n - 9*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -26. Solve j + 0 - 11 = 2*l, -16 = w*l + 4*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2. Let o(x) be the third derivative of -341*x**5\/10 - 1237*x**2 - x. Determine o(n(u)).\nAnswer: -2046*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2485 - -2485. Let q(k) be the second derivative of 0*k**2 + y*k**4 + 0*k**3 + 0 + 0*k**6 + 0*k**5 + 1\/189*k**7 + 12*k. Factor q(z).\nAnswer: 2*z**5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5320\/16)\/19*(322\/49 + -6). Let x(i) = -12*i. Let f be x(-5). What is the greatest common divisor of p and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/184 and 93\/3316?\nAnswer: 152536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.285 minus -0.6237?\nAnswer: 43.9087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 4, -1\/5, -358?\nAnswer: -358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15568 + -15033. Calculate the highest common factor of 5564 and x.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 9. Suppose -4*u + z*y = -116, -2*u + 5*u - 4*y - 90 = 0. Calculate the highest common factor of 65 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 2*k - 3*k - 4*k**3 + 4*k**3 - 1 in the form d*k + w*k**2 + o + x*k**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/9*(-330)\/440?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3332809 and -0.30998.\nAnswer: 3332808.69002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**3 - 615810*l**2 + 290328144*l - 34245576736 = 0.\nAnswer: 236, 307433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvgvvggvv. What is prob of picking 2 g and 2 v?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13741225651 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 502021, 502010, 502029, 502084, 502181?\n\"Answer: k**3 + 9*k**2 - 45*k + 502056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 6537 = -2*m + 5733, 2*m - 2*z - 12288 = 0. Is 69\/12 + -6 - m\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 10*x**2 + 4. Let h be j(-10). Suppose 9 = h*g + 1. What is the smallest common multiple of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127007 divided by -7471?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 - -51. Let c = z - -94. Let p = c + -30. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 4.021?\nAnswer: 4.021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -22*p + 162. Calculate the smallest common multiple of 23 and m(7).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*(4 + sqrt(612) + sqrt(612)) - (sqrt(612) + 1 + (sqrt(612) - -2*sqrt(612))))**2.\nAnswer: -306845 - 7800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7632678, -7632675, -7632672?\n\"Answer: 3*u - 7632681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2906053, -5812124, -8718191, -11624254, -14530313, -17436368?\nAnswer: -20342419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 13 = 2*l + l, -l = 5*a - 65. Let n = 16 - a. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -121\/208, 3, -0.1, -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = -3. Let q(o) = -o + 2. Let m(w) be the third derivative of -w**4\/24 - 90*w**2 - 4. Calculate k*q(n) - m(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.975 - 1.825. What is the fourth smallest value in 4\/5, -0.1, 0.4, w, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -181.78 to the nearest integer.\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*n + 254 = -76 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*k**2 - 58*k**2 - 37*k**2 to the form g + z*k + j*k**2 and give j.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (1 - 3) - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2)*f\/(f\/(f\/f**(-2\/5))))**33)**38 assuming f is positive.\nAnswer: f**(5643\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 44 = 2*i. Let q be (((-24)\/9)\/(-4))\/((-2)\/(-6)). Find the third derivative of -i*s**6 + 1181*s + 3*s**q - 1181*s wrt s.\nAnswer: -1320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2931073 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k - 7. Let p(j) = 5*j - 2. Let r(t) = -t + 1. Let u(s) = p(s) + 4*r(s). Calculate 2*o(c) + 7*u(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11548404 and 5453413.\nAnswer: 196322868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 5*w + j, 427*w - 424*w + 5*j = -57 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 175.89552+-857149\nAnswer: -856973.10448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 not equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) 0.4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + 0)*-1 + 1*sqrt(931)*1 + 3 + sqrt(931)*1 + -4)**2 + 5.\nAnswer: -14*sqrt(19) + 937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66267811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.89 - -5.09. Which is the third biggest value? (a) 0.03 (b) -0.01 (c) 4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -487 divided by -6\nAnswer: 487\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 145*u**7\/6 + 4*u**4 - u**3\/2 + 319*u. Find the third derivative of y(x) wrt x.\nAnswer: 60900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 53*n**6\/10 - n**5\/10 + 314*n**4\/3 - 355*n. Find the third derivative of o(x) wrt x.\nAnswer: 3816*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*d - 8 = 0, 0 = 3*d - 6. Calculate the highest common factor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 - 20*s**3 + 1460*s**2 - 2800*s.\nAnswer: -5*s*(s - 14)*(s - 2)*(s + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u**3 + 8*u + 25. Let o(t) = 15*t**3 - 20*t - 49. Give -6*o(i) - 11*y(i).\nAnswer: -2*i**3 + 32*i + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-8))\/((-12)\/(-16)) - 6200\/(-150). Calculate the greatest common factor of p and 2624.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 3, 1585, -0.2, 5 in increasing order.\nAnswer: -0.2, 3, 5, 80, 1585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2959094, 5918191, 8877288?\nAnswer: 11836385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3427 - 3445, -3*i - 226 = 4*v. What is the closest to 1 in -6, -3\/4, v?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 9*b**2 - 12*b - 8. Let n be i(-8). Let o(m) = -6*m - 6. Let p = 13 + -20. Let k be o(p). Calculate the greatest common factor of k and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1549 from -71.6.\nAnswer: -1620.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 3*n + 15. What is the biggest value in n, 3, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/946 and -18\/215.\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 320548.0948 less than -0.8?\nAnswer: -320548.8948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365262 minus -4?\nAnswer: 1365266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 8:30 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooeoeooooeeoeeoeeeo. What is prob of picking 1 e and 3 o?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 + (-7)\/(-2). Suppose l*b = -4*q + 27, -3*q + 33 = 2*q + 4*b. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8055 is divided by 109.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n - 2*n + 3*n)*(-4 + 2 + 1) + (94*n + 112*n - 225*n)*(3 + 0 - 2) to s + p*n and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 96 = -8*j. Let c be (1 - (-8)\/j) + 3605\/(-15). What are the prime factors of (-2124)\/(-14) + (c\/42 - -6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/805008 and -149\/201252.\nAnswer: 805008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4232651 is divided by 1729?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + g + 1. Let u(x) = -5*x**3 + 3*x**3 + 5 + 133*x**2 + 7*x + 3*x**3 - 125*x**2. Let n(v) = 4*h(v) - u(v). Determine n(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 2)*(2*t - t + t)*(6 - 2 + 4)*(1639*t - 1141*t + 695*t) to c*t**2 + z*t + u and give c.\nAnswer: -38176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, -0.02, -0.2 in decreasing order.\nAnswer: 160, -0.02, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 5:02 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4863 - -4867) + 1 + (0 - 0) + -2 - -41\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.36, -22, 5 in increasing order.\nAnswer: -22, 0.36, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 60 - 205 + 2*n + 76.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 0, 5, 1 in ascending order.\nAnswer: -30, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1059391.\nAnswer: 43, 71, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 185*y - 2154. Give o(11).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*l - 112 + 112)*(-2*l + l - 3*l + 2*l**3).\nAnswer: -66*l**4 + 132*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 11010111?\nAnswer: -11010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3266477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven quarters of a milligram in micrograms?\nAnswer: 9250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: 25\/(900\/(-702))*((-24)\/(-4))\/3\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 - 2*u**2 - 3*u + 2. Let o be n(2). Let t(f) = f**3 - 4*f**2 + 2*f + 3. What are the prime factors of t(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9118 times -3\nAnswer: 27354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -332 (base 4) to base 11\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 441 and 819?\nAnswer: 5733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*l, l = -4*p - p + 596. What is the least common multiple of p and 200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105 * 9300\nAnswer: -976500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4742505 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = -11*y + 3525. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 0 + 0)*(5 - 1 + 0)*(-2 + 2 - 5) to the form u*h + t and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -6*r - 6847*n + 6850*n, -5*n = -r + 26 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -9. Find the common denominator of 2 + p + (-315)\/24 and 409\/10 - (-4)\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y. Let b(k) = -5*k. Let h(a) = 5*b(a) + 6*z(a). Let x = 12 - 9. Let g(m) = 5*m + m - x*m. Give h(g(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t - 632 + 632)*(-3 - 4*t + 3) - t**2 + 0*t**2 - t**2.\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 1. Let t(l) = -706*l**3 + l + 1 - 711*l**3 + 2 + 2122*l**3 - 702*l**3. Determine -2*i(j) + t(j).\nAnswer: 5*j**3 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 36 = -0*t - h, -2*t - 3*h = -28. Let g(b) = -b**3 + 7*b**2 + 7*b + 1. Give g(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(468) + (sqrt(468) - (sqrt(468) + sqrt(468)*-2)) + sqrt(468) + 4 + sqrt(65)\/(sqrt(45) + sqrt(5)))*2 + -5)**2.\nAnswer: 291*sqrt(13) + 122353\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 1. Let g be b(1). Suppose q - 1 - 3 = 0. Suppose -q*t + 12 = -0*t. What is the highest common divisor of g and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 a factor of 16337760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 + 87 + 8*g + 14*g)*(-1 + 2 + 1).\nAnswer: 44*g - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/30 + 9*a**2. Let u(x) = -3*x**2. Determine p(u(h)).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - -19 - 72) + 1 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 3. Let a be d(-3). Suppose -4*g = a + 19. Let y(l) = 2*l**2 + 2*l - 4. Let k(s) = -2 + 4*s**2 + 5*s + 0 - 6 - 1. Calculate g*y(n) + 3*k(n).\nAnswer: -2*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, 4, -19 in descending order.\nAnswer: 4, -19, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77 times 5?\nAnswer: 3.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3. Let x be g\/(-2)*12\/(-3). Solve x*p - 3 = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/22, -4 in increasing order.\nAnswer: -4, -3\/22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -70*g + 130. Let f(y) = 483*y**2 + 2. Determine s(f(t)).\nAnswer: -33810*t**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 209707 - 307207. Let g be (-200)\/(4\/6 - (-64995)\/y). Round g to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 2*p + 70. Calculate the remainder when 389 - 293 - -6*((-52)\/12 - -4) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 - -101200201012210?\nAnswer: 101200201011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1575939, 1576141, 1576343?\n\"Answer: 202*b + 1575737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*x + 52 = 0, 0 = -2*p - 3*x - x + 44. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1148*r + 24. Let z be j(12). Round z to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**2 + 178 + 42528*n - 42528*n to the form g*n**2 + y*n + b and give b.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 2. Let z = 8 + -3. Let w be k(z). Suppose -6*m + 3*m + 22 = 2*b, w*b = 5*m + 71. What is the remainder when b is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/164 and -4\/615.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 5*w**2 + 7. Let r be n(-5). Does r = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 258305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/22)\/1 - 1638\/(-429). Let g(n) = -1 - 4 - d*n - 4 - 11. Let h be g(-7). Solve -6*v - 4 = -h*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - r - 7. What is q(6)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -2*m + 16*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2872)\/359 + (0 - -5029)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxkrmb. Give prob of sequence mmr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 80.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 1 - 1 + x - 3 + 3 - 2*x + 5*x - x - 6*x + 3*x + 2*x + (-3 + 2 + 2)*(-x - x + 0*x) + 0 - x + 0 + 317*x - 399*x - 6 - 170*x.\nAnswer: -255*x - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.31 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(-80) + (-1)\/40. Which is the closest to -1? (a) 0.1 (b) 1\/2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 + 4*u - 1. Give s(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -31238*l**2. Let n(k) = -9*k**2. What is n(o(w))?\nAnswer: -8782313796*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4501*i + 19174. Give m(4).\nAnswer: 1170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -13*w - 19. Let j(b) = 26*b + 38. Let t(c) = -5*g(c) - 3*j(c). List the prime factors of t(-4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -7) + (0 - 1) + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:59 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178296 divided by 3128.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -310 + 4028\/13. Which is the nearest to 0.1? (a) -0.5 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = o - 2*h - 8, -3 = -h. Let q(a) be the second derivative of a**o + 0*a**3 + 0*a**4 + 2*a + 1\/10*a**5 + 0. Differentiate q(r) with respect to r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 274.77\nAnswer: 247.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeppeeepokdeppepdkpe. What is prob of sequence pkpd?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1678814.9 days?\nAnswer: 239830.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 365818 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 8 + -7 + (5 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-10)\/4*(-84)\/120.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 11*c - 21. Let m be u(8). What is the first derivative of -9*t**4 + m*t**4 + 36 + 50 wrt t?\nAnswer: 232*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*b - w, -2*b - 3*b = 3*w - 19. Let g(t) = 2 + 2*t + t**b + 0*t**2 + 0*t**2. Let c be g(-2). Solve 0 = -3*n + c*h + 2, -4*h = 2*n + 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 466176805, 466176809, 466176815, 466176823, 466176833, 466176845?\n\"Answer: m**2 + m + 466176803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -5585?\nAnswer: -5585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23414320 - -130?\nAnswer: -23414140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i**3 + 7*i**3 + 6*i**3)*(-59 - 43 + 36).\nAnswer: -1914*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/12 and (40\/16)\/(3\/(-23))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4713255 is divided by 123?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a. Let f be b(-2). Suppose j - f*j + 15 = 0. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 9. Suppose -2*k + p = 4*p + 1, -y*k + 39 = -5*p. Suppose 5*s - 5*r - 27 + k = 0, 10 = 2*s - 3*r. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g = -33. Suppose 4*i - g = i + 3*x, 0 = -i - 2*x + 17. What is the remainder when i is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h - 5*h + 3*h - 10*h + h**2.\nAnswer: h**2 - 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.2809 centuries in years?\nAnswer: 20928.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 30*b**2. Let r(i) = -i**2 + 18*i + 74. Let x be r(22). Let p(m) = -9*m - 14. Let l(o) = 4*o + 6. Let h(v) = x*l(v) - 6*p(v). What is j(h(s))?\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (37\/12)\/(20\/(-6)). Let y = 4\/5 + s. Let k = -1.5 - -2. Which is the third smallest value? (a) y (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/984 and (-42)\/30 + 10*114\/738.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -2. Let l(o) be the second derivative of o**5\/20 - o**4\/4 + o**3\/6 - o**2 - 24*o. Calculate l(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -51\/2. Let d = 144 + -143.27. Let c = d - 0.43. What is the closest to 0 in 0.1, c, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 340213 - 0?\nAnswer: 340213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-36)\/(-14) - 2)\/(1\/7). Sort 1, x, 3.\nAnswer: 1, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*d = 1 + 5, 0 = -5*d - 15. Let b be 1 - (9 + p)*-1. Calculate the greatest common divisor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -182529, -182533, -182539, -182547, -182557?\n\"Answer: -n**2 - n - 182527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -110, -168, -226, -284?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.9 or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 9*i**3 + 2*i**2 + i - 1. Let l = -957 + 956. Let v be d(l). Let c(s) = -s**2 - 8*s - 3. Determine c(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14034634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21142311 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126081514?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + s = 2*w + 12, w - s = 8. Let i(k) = 3*k**2 + 2*k - 6 - k + 0*k**3 + 6*k - k**3. Let a(x) = x**2 - 1. Let f(t) = -a(t) - i(t). What is f(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23821 and -10879.\nAnswer: -259148659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.04 + -1.21. Let l be (-177)\/30 + -1 + 7. Which is the closest to 0? (a) j (b) l (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76921*v + 137108 wrt v.\nAnswer: 76921","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7626, 16280, 24946, 33624, 42314?\n\"Answer: 6*r**2 + 8636*r - 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 5*n**2 + 4*n. Let w be a(4). Suppose 0*z + z - 74 = w. Is 12 a factor of z\/3 + (-4)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z + z + 0*z)*(3 - 3 - z)*(-114 + 1407 + 1706) in the form w*z**2 + j + p*z and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 8*x**2 + 8*x. Let m be c(9). Let f be 11\/22 + m\/(-6). Is 14 a factor of 1*-3 + 114*f\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-40)\/64*(-6)\/10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 + -75. Suppose -3*k - 4*y + d = -k, -5*k + 40 = 3*y. Solve 20 = -k*f - 5, -5 = -5*n + 2*f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*v - 9 = 0, 0*v - 12 = -4*v. Suppose s = 9*b + 25*b. Is -5\/54 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -41*p**2 - 7*p + 338005. Is f(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4756*g + 4753*g = p + 6, -5*p - 4*g = -14 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10632303371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-15 + 17 + 15 + 26)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301, 604, 907, 1210?\nAnswer: 1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4\/6 + 13*w. Let d(m) = 2*m. Give d(s(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 1 (b) -29 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 6389769.\nAnswer: -1\/6389769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1352 and 46.\nAnswer: -62192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.533?\nAnswer: -0.1066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 135?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1872*694\nAnswer: -129.9168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -1534. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -43. Let c be f - (-4 - (-1 + 3)). Solve -4*l + l = -c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001671016553 to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*c = 12, q + 0*q - 1 = 3*c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 652 = 5*o, 713 - 189 = 4*o - 3*p. Suppose 7*v = -9*v + o. Suppose 0 = v*a - 11*a + 5847. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 3\/53, -0.3, -1, -4, -2\/5 in increasing order.\nAnswer: -4, -1, -2\/5, -0.3, 3\/53, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594 = -3*a - 6*a. Let r be ((-1035)\/10 + 4)*2. Let o = a - r. What are the prime factors of o?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/4*(-16)\/5. Let z be 68\/16 + (-2)\/d. Put -3, z, 0 in decreasing order.\nAnswer: z, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((54\/45)\/3)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-308)\/55 - (-1680)\/1050\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (760\/48)\/(((-1)\/(-7))\/((-106)\/371)). Is -8 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1\/424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40449 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -516?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*y + 2)*(16*y + 530*y + 103*y + 577*y).\nAnswer: -2452*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58764?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, i: 1, g: 1, v: 1, n: 1}. What is prob of sequence ggi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4*i = 44, -77*i + 73*i = -3*r - 52 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 1. Let o = 4.1 + -3.1. Which is the nearest to o? (a) -0.1 (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 821, 4, -5, 5, 8848 in ascending order.\nAnswer: -5, -4, 4, 5, 821, 8848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 3189 = 750. Let x = c + 292. What is the least common multiple of 123 and x?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7278*t + 7290*t - 3090660 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.12 (b) 18 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149338853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -2 + (4\/(-2))\/2. Let b(i) = 10*i**3 - i**2 + 1. Let a(x) = -x**3 - 7*x**2 + 5*x - 6. Calculate the remainder when a(-8) is divided by b(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -7 + 11 + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:47 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -524 and -523 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-118)\/(-15) - 12\/(-90). Let z(v) = v - 3. Let b be z(6). Suppose -b*t - 640 = -a*t. Calculate the greatest common factor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -47108933 and -47108936 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 233892699 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3032013110000 - -1?\nAnswer: -3032013103333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1724050 - -1?\nAnswer: -172404e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22897?\nAnswer: 7, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -23*w**3 - 13. Let h(p) = 11*p**3 - p + 7. Let d(n) = 5*h(n) + 2*k(n). Let m(t) = -5*t**3 + 3*t - 5. Calculate -3*d(g) - 5*m(g).\nAnswer: -2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = -50*y - 50*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1419 (base 12) to base 14.\nAnswer: -bc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45726168743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggwjgrgrggmmgh. What is prob of picking 2 m?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -42*w**2 - 62*w - 1. Let r(s) = 6*s + 29. Calculate m(r(v)).\nAnswer: -1512*v**2 - 14988*v - 37121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 2122210?\nAnswer: 2122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a**3 + 12*a**2 - 4*a + 10. Let w(m) = 73*m**3 + 122*m**2 - 42*m + 102. Let y(k) = 21*d(k) - 2*w(k). Let n be (-84)\/10 - (-4)\/10. Give y(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12659 - 12632 + 25288 + 3*h**2 + 27*h**3 - 2*h**4 - 8*h as q + w*h + z*h**4 + c*h**2 + d*h**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-132))\/((-2)\/((-24)\/3)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -52. Let c(b) = b**2 + b - 10. Let y be c(z). Calculate the greatest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8736 and 25216.\nAnswer: 6883968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1215 and -91\/270?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.59 + 0.01. Let w = 1 - i. Which is the smallest value? (a) -1\/2 (b) -1\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-2 + 10 - 1) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 5 (b) -4 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -d + 13, -7*d = -3*d + 4*n - 4. Suppose r = 4*i + 8, 0 = -d*r - 0*r + 3*i + 15. Which is the nearest to -1\/4? (a) 0.2 (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 2*x**2 - 16*x - 101. Does 6 divide q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (9 - (20 - (25 - 3 - 11)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 69 = -g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 14*s - 12*s)*(3 - 3 - 1 + (-2 + 1 + 0)*(1 + 0 - 3))*(-1 + 1 + 1).\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 - (-139*1\/6 + -3) and -41\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 3, 2, -958?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162564, -325132, -487704, -650280?\nAnswer: -812860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w - 4 - 46. Put w, -3, -4 in descending order.\nAnswer: -3, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, x: 3, i: 4}. What is prob of picking 2 p, 1 i, and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 26*m**2 - 12*m + 14. Let b(t) = -t**3 + 7*t**2 - 7*t + 11. Let s be b(6). Does 12 divide x(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:57 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2524634*i**3*z**3 + i**3 - 2838*i**2 + i*z**2 - 10*z**2 wrt z?\nAnswer: 15147804*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 650. Does 93 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324502.\nAnswer: 2, 162251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - r - 95 = -6*q, -4*r = -q. Let d = 95687 - 95667. What is the highest common factor of q and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 117 = 3*j. Suppose 35 + 19 = o. Let w = o + j. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 3950*d**2 - 3950*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -11*f**3. Let i be (7\/14)\/(2\/(-100)). Let j = i + 18. Let g(v) = v**3 + 6*v**2 - 6*v + 8. Let l be g(j). Determine m(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 304?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1168 - -1168.000639. What is c rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010101110100000101001 (base 2) to base 6.\nAnswer: -140134133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -208 (base 9) to base 8\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26761.\nAnswer: 7, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 273.1361 millennia?\nAnswer: 2731.361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3840 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 508*h**2 + 43*h**4 - 2813*h**2 - 6900*h**6 - 43*h**4 wrt h.\nAnswer: -828000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 3:10 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*v = 3*v - 6, 2*v = -3*o - 6. Solve o = -4*f + w + 9, 7 = -3*f + w + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1859*y**2 - 1850*y**2 + 3710*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 627 and 16416?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + d - 4 + (d + 4*d - 3*d)*(2 + 0 + 0) + d - d - d + 4*d - 2 + 2 + (0*d + 2*d + 0*d)*(0 - 1 + 3))*(4*d - 31 + 31).\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -45329, -45480, -45615, -45728, -45813?\n\"Answer: f**3 + 2*f**2 - 164*f - 45168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - j. Let s be c(-1). Suppose 0 = s*d + 5*a - 28, 5*d - 4*a - 1 = 3. Solve 6 = -d*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.5 + -33658142.26236\nAnswer: -33658131.76236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 3*l**3 + 2*l**4)*(-7 + 13 + 5) - l + 3*l**4 + l + (2*l - 3*l + 2*l)*(0*l**3 + l**3 - 3*l**3).\nAnswer: 23*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*p + 4 = 0, -34*y + 34*y + 2*p = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i\/((i\/i**(-7)*i*i)\/i))\/i))**(-6\/13))**(2\/9) assuming i is positive.\nAnswer: i**(-44\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6 - 592\/(-12). Let p = 69 - f. What is the smallest common multiple of p and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1032852583, -1032852585, -1032852587, -1032852589, -1032852591, -1032852593?\nAnswer: -1032852595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71651?\nAnswer: 137, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 391874 - 391912.8091. Let o = 38.8 + n. Round o to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 6*y**2 + 7*y - 7. Let k be h(5). What is the derivative of 0 + k + 2*g + 2 + 1 wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -231 - -2?\nAnswer: -22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 10*d = 2*z + 42, 4*d - 2*z - 38 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.5 + -8. Let j be (-6)\/(-9)*3\/2. Which is the third smallest value? (a) u (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24624085?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*1*-3*5)\/((sqrt(800) + (sqrt(800) - sqrt(800)*-5))*-4))**2.\nAnswer: 153\/3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7393*-69823.\nAnswer: -516201439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15551*p + 16021*p + 15994*p - 47567*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (13 + 2 - (12 + -5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 6:54 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 507a (base 12) to base 2\nAnswer: 10001000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 - 149 = 0. Calculate the highest common divisor of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 934.6301277 to one dp.\nAnswer: 934.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 + 811*s - 66*s**3 - 811*s.\nAnswer: -66*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 10 + 73 = 0. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 384, 294, 160, -12, -216, -446?\n\"Answer: r**3 - 28*r**2 - 13*r + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.495 and 23439339087.\nAnswer: 23439339085.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/150)\/((-18)\/(-15)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 25*c**2 + 83*c - 2. What is the remainder when 982 is divided by b(-4)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 670134?\nAnswer: 1\/670134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 371*b**2 - 427*b**3 + 129*b**3 + 205*b**2 wrt b?\nAnswer: -1788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - j + 27. Let n be b(0). Let m = -8 - -11. Suppose -2*p + m*t = -n, 0 = 3*p - 0*t + 5*t + 7. What is the remainder when p is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 5*l**2 + 100. Let k(j) = 2*j**3 + 8*j**2 + 150. What is -5*k(n) + 8*p(n)?\nAnswer: -2*n**3 + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -37, 14, 1, -2 in descending order.\nAnswer: 14, 3, 1, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -11 - 12*g - 14*g**2 - 14 + g**3 + g**2. Let d be i(14). Solve -12 = d*r - 0*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 281608*h**2 + 37*h + 38. Is b(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3 - 74\/17*i**2 + 8*i + 26\/17*i**4 + 2\/17*i**5 - 56\/17 = 0. Calculate i.\nAnswer: -14, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*q**2)*(4*q**3 - 4*q**3 + q**3) + (-4 - 2*q + 4)*(2735*q**4 + 693*q**4 - 91976*q**3 + 91976*q**3).\nAnswer: -6854*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7872*v**2 + 30*v - 10. Let b(n) = -2623*n**2 + 9*n - 3. Calculate 10*b(z) - 3*g(z).\nAnswer: -2614*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12618 - -12622. Let s = 8 - 5. Let 0 + 9\/2*x**s + 3\/2*x + 9\/2*x**2 + 3\/2*x**g = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 7*f - 8. Let v = 18 + -57. Let w = v - -33. Determine b(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllmllmlllllllmmlmm. Give prob of picking 2 m and 2 l.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 182 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + 0 - (2 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -3*v**4\/8 - v**3\/6 - 1550*v**2. Let a(y) = -4*y. What is -7*a(i) + 3*z(i)?\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**6\/120 + v**5\/60 - 2*v**3\/3 - 5*v**2 + 9. Let l(o) be the second derivative of c(o). Suppose -y - y = 0. Determine l(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqnqqfqq. Give prob of sequence nq.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -52. Suppose 3*d + p = d + h, -2*d + 16 = 4*p. Solve 0 = 3*a + a + d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 9:59 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2569 - 1431. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2252, 5084, 9812, 16430, 24932?\nAnswer: 35312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -17142*f + 17145*f + 3*g, -f - 4 = -2*g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 456*t - 456. Determine y(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 5. Let r be w(5). Suppose 3*q = 5*z, 2*q + 5*z + r*z - 25 = 0. Let l = q - -1. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4520.2 + -4519.839862. Let o = l - 0.36. Round o to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-6)*(-27)\/378.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(216) - (sqrt(1296)\/sqrt(12) - sqrt(3)).\nAnswer: -29*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10810573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27948*f**2 - 11 - 19855*f**2 + 13 - 2.\nAnswer: 8093*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m**2 - 25*m + 15. Determine l(6).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890 divided by -6?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 299272082 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 1, 4*z + 306 = 4*o - 546. Is -215 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m - 2*m**2 - 4*m)*(3*m - 4*m + 6*m) + 18*m**3 - 21*m**3 - 33*m**3 in the form r*m**2 + d*m + h*m**3 + v and give h.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 5, q: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -55221 > -55220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 1 + 0)*(169*m**2 + 189*m**2 - 319*m**2) to the form t*m**2 + a*m + k and give t.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -8\/3, 1, -0.01?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 9*b + 4. Let s be w(-9). Suppose -2*p - c + 142 = 0, 3*p - 202 = -0*p + s*c. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-19 - -3)) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3270049445 to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-36)\/21)*(-63)\/(-90) - 2\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, -1, 15, 2 in increasing order.\nAnswer: -171, -1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 5:11 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-10 - 14) + 12)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5798*d**3 + 10*d**2 + 2*d - 142 wrt d.\nAnswer: -34788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**6\/24 - 7*j**4\/24 + j**3\/3 + 10*j**2 + 4. Let v(f) = -2*f**3 + 3*f - 1. Let k be 4\/6 + (-23)\/3. Calculate k*v(o) - 3*n(o).\nAnswer: -o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q**3*y**3 - 27*q**3*y - 5*q**2*y - 8*q**2 - 167*y**3 - 4*y - 5 wrt y.\nAnswer: -18*q**3*y - 1002*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 6*n - 10*n, -2*j + 44 = -3*n. Suppose 2*x + x = 5*q + 12, 3*q + j = 4*x. Suppose -428 = -4*z - 5*r, q = z + 2*z - r - 302. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 46. Solve -16 = 5*u - 6, 2*y - 4*u = d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21200210201 (base 3) in base 7?\nAnswer: 1200442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515140 (base 7) in base 4?\nAnswer: 302100311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 7*v - 6*v - 1, f + 2*v = -7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 22 = -9*a. Suppose -b + 24 = 5*o, 2*o + 4*b = -b + 5. What is the remainder when a is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-8 - -3) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.1, 0.5, 0, -263\/4.\nAnswer: -263\/4, -0.1, 0, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 11:05 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 3*n**2 + n - 2. Suppose 12 = -2*c + 6. Give d(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -275113*j**4 + 225172*j?\nAnswer: -3301356*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 45 = -0*q. Calculate the highest common divisor of q and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3681 times 4?\nAnswer: -14724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*d - 88838 = -399902. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78416 is divided by 158?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/45 and ((-6)\/9 + 2)\/((-40)\/188).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3749.\nAnswer: 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197129*p - 197243*p = 3078 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20851 divided by 29?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 19211*m**2 + 383916*m + 1842336.\nAnswer: (m + 8)*(m + 12)*(m + 19191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 42. What is the third derivative of 17*r**2 + 6*r**a - 3*r**3 + 3*r**3 wrt r?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4844633 is divided by 5468?\nAnswer: 5453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 449, 430, 411, 392, 373?\n\"Answer: -19*h + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10167.3179 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*o + 5*l - 107, -38605*o = -38607*o - 3*l - 35 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 10:57 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + sqrt(112)*-5))**2.\nAnswer: -1800*sqrt(7) + 25425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2406 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -10*h - 58. Sort -73, -3, h.\nAnswer: -73, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/70 - ((-704)\/14)\/4. Suppose 22 = 3*r + 13. Put a, r, -1 in increasing order.\nAnswer: -1, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i - 4. Let f(b) = -3*b + 3. Let v(d) = 4*f(d) + 3*s(d). Let y(w) = -75*w - 2. Determine v(y(l)).\nAnswer: 225*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1403\/5, -8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-36)\/(-81)*9\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13420621 times 9?\nAnswer: -1.20785589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {a: 1, s: 4, r: 1, m: 1, h: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 285710?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*r + 76 - 991 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -10*q - 2\/3*q**4 + 0*q**2 + 5\/3*q**3 + 0. What is the second derivative of s(d) wrt d?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(187)*5)\/sqrt(11)*6*5.\nAnswer: 1 + 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*m + 12*m - 14*m**4 + (6*m**2 - 2 + 2)*(-3*m**2 + 5*m**2 + 2*m**2) - m**3 + m**3 - m**4.\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -355.33763 + 354. Let h = -1.331 - o. What is h rounded to 4 decimal places?\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1681*u - 7911 - 13770 = 5018 + 8602 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7 + 2 + 3 - 3*c + 0 - c**2. What is w(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**2 + 2*f - 1. Let h be j(1). Suppose 4*i - h = -4*v + 8, -5*v = 2*i - 5. Suppose -19 - i = -4*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -4, 0, -62, -308 in decreasing order.\nAnswer: 0, -4, -51, -62, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02734 rounded to three decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/4? (a) -47 (b) 132\/17 (c) -2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a factor of 60444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(120\/(-21) + 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhyhggfgqhfhffg. Give prob of picking 3 f and 1 y.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**7\/168 + v**6\/120 - v**5\/80 - v**4\/48 + 2*v. Factor z(g).\nAnswer: g**2*(g - 1)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -6*q - 3. Let y be (15\/(-10))\/(q\/(-10)). Let d = 18 - 18. Put y, 1, d in ascending order.\nAnswer: d, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 14. List the prime factors of (-12)\/12 + 31 + m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(17) + -1)*6*-4*4.\nAnswer: -576*sqrt(17) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 4:27 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18030 (base 10) in base 9?\nAnswer: -26653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -1 - (-1 + 0)) + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 40*j**2 - 338*j - 56. Let l be g(-28). Which is smaller: l or -350?\nAnswer: -350","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -563.1 + 42323449.\nAnswer: 42322885.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -217820 or -217818?\nAnswer: -217820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -5 (c) -1\/8 (d) -3 (e) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3019 + -15096\/5. Which is the third smallest value? (a) 1\/2 (b) 1\/5 (c) z (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2 + sqrt(3072)*-3)**2 + (-3*sqrt(3072) + sqrt(3072))**2*1 + 3 + -5).\nAnswer: -1152*sqrt(3) + 119814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -8, 0, 3, 0.11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113 - -50. Let d = -62 - x. Solve -3*f + 5 = -d for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 24 = 2*h. Let n be ((-16)\/30)\/(112\/(-24)). Which is smaller: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 + 1 - (-16 + 24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13993 and 1539230?\nAnswer: 1539230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001529 rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 12. Let q be d(-9). Differentiate -5*c**4 + q + c**4 - 2*c**4 - c**4 with respect to c.\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 + -92. Calculate the remainder when a is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*n**3 + 306*n**3 + 833*n**3 + (-3 - n + 3)*(0*n**2 + 0*n**2 - 2*n**2) as f + c*n + i*n**2 + t*n**3 and give t.\nAnswer: 1088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l = -5*l. Let a be ((l - 1) + 2)*(-2 + 4). Solve -3*s**2 + 7*s**a - 3*s**3 + 7*s**2 + 6*s - 8*s**2 = 0 for s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -44?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 11 + 3*i**5 + 75*i**2 + 2*i - 5*i**5 - 43*i**2 + 3*i**5 + (-5*i + 2*i + 5*i)*(0 - i**4 + 0).\nAnswer: -i**5 + 32*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/8 + 205305*m\/4 + 1642056.\nAnswer: 3*(m + 32)*(m + 136838)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l*l**(-5)*l)\/l))\/l**(10\/9)*l*(l**(-9\/5)*l)\/l*l**(-1\/13))**(6\/7) assuming l is positive.\nAnswer: l**(2354\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 2:10 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9360874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 3)*(5*y + 0*y + y) - 2 - 3*y + 0 + 2*y in the form c + o*y and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 27 (b) -1575 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5002677 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -2) + (-69 - 79 - -90)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 12. Suppose 2*v - b - 8 = -3*d, 3*d = 6. Is v\/(2\/2) - -107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 15, 10*v = 6*v + 4*t + 36. Suppose 12*b - 285 = 9*b - 2*g, 4*b - 360 = v*g. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286659 divided by 3.\nAnswer: -95553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13487.23 + -12880.1. Round b to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 133 = -79 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2 - 8\/(-2). Let k(s) = s**2 + 1 + 6*s**2 - 5*s**3 + s**3 + 3*s**3 + 8*s. Let v be k(8). Solve -3*p = -4*l - v, 2*l - t*l = -4*p + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 55392175 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*f**3 + 5*f**3 + 10*f**3 + 218*f**2 - 3*f to y + q*f + c*f**3 + p*f**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2. Let v be m(4). Let j(l) = l**3 - 3*l**2 - 6*l + 8. Let p be j(6). Calculate the highest common factor of v and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ab124 (base 14) to base 11\nAnswer: 263524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/5 - 42308*o**4\/5 + 2575002*o**3\/5 - 34923352*o**2\/5 - 28080640*o + 172793856\/5 = 0. Calculate o.\nAnswer: -4, 1, 32, 21093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75*j**4 - 2*j**2*s - 15*j**2 - 2*j*s + 2*j - 1332 wrt j.\nAnswer: -900*j**2 - 4*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y**3 - 16*y**3 + 13*y**3.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + l - 4*l)*(-55*l - 1418*l**2 + 1444*l**2 - 242*l) in the form z*l**3 + x*l**2 + i*l + v and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -582.\nAnswer: -5238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f = -4*o + 14*f + 18, -4*o - 4*f = -28 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2498*u - 26306. Give v(-11).\nAnswer: 1172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1521, 1530, 1533, 1530, 1521?\n\"Answer: -3*u**2 + 18*u + 1506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 2299?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*l + 3. Suppose -1349 = -l*i + 303. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -9*g - 12*g + 4 - 3*g + 22*g. Let y be 80\/(-14) - (-2)\/(-7). Is 7 a factor of s(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 140507 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 (221312\/16)\/28*((-36)\/(-117))\/2?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*c = -1 - 9, 5*c - 5 = 0. Let m(k) = 4*k**2 + 2*k - k - k. Let h(v) = v**2. Give z*h(l) - m(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 429.201 and -1.331?\nAnswer: 430.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144552253 (base 7) to base 3.\nAnswer: -200010001222111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*a**2 + a**2 + 28*a**2 + 4*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -70*n**3 - 2*n**2 + 8*n + 14. Let z be i(-3). Suppose 0 = 12*a - 6970 - z. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0.5 (c) 4 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -135 (b) 3 (c) 22692\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 12*p + 4. Suppose -6*q + 5*q + 8 = 0. Let i = 17 - q. What is the units digit of h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**4\/12 + 126*u**2 - 733*u. Let r(v) = 2*v. Determine k(r(y)).\nAnswer: -4*y**2 + 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -9*w**6\/10 + 3*w**3\/2 - 2*w. What is the second derivative of o(a) wrt a?\nAnswer: -324*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roeeoooerroeeaa. Give prob of sequence err.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**4\/4 - i**3 - i**2\/2 - 5*i - 2. List the prime factors of m(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*a**4*t**3 - 6*a**4*t**2 + a**4 + 4*a**2 - 21*a*t**2 + t**3 wrt a?\nAnswer: 240*a*t**3 - 144*a*t**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*k**3 - 247*k + 247*k + (3*k - k - k)*(2*k**2 + k**2 - 5*k**2).\nAnswer: 34*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13088029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vot when three letters picked without replacement from oovooztottttttzott.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/6)\/(2\/5154). Let n = s - -485338\/113. Let l = n + 7547\/904. Find the common denominator of 33\/7 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, -30, -86, -184, -336, -554, -850, -1236?\n\"Answer: -2*x**3 - 3*x**2 - 3*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -207, 5, 4 in descending order.\nAnswer: 5, 4, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-24) - (-1 + 0). Solve -1\/3*y**5 + 0 + 1\/3*y**3 + 0*y - w*y**2 + 2\/3*y**4 = 0 for y.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.1, -5, 16 in ascending order.\nAnswer: -5, -1\/5, -0.1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (-1)\/10)\/(85\/(-2040)). Factor -i*w + 0 + 12*w**2 - 15*w**3.\nAnswer: -3*w*(5*w - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**3 - p**2 + 4*p. Let a(n) = 18*n**3 - 2*n - 19*n**3 + 5*n - n. Calculate -5*a(l) + 2*s(l).\nAnswer: -l**3 - 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + -12 + -62 + -2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.53 + 3.53. Is t != -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9163, -9018, -8873, -8728, -8583, -8438?\nAnswer: -8293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 5) + -19 + 36\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 84\/36*6\/(-4)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/64977 or 1?\nAnswer: 1\/64977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -39*q**2 + 2*q. Let p(o) = -2539*o. Calculate p(k(c)).\nAnswer: 99021*c**2 - 5078*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 29.91, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -1 + 6 + 5 + 2*p + 4 - 3. Let o(f) = 14*f. Let h(s) = 9*s. Let q(k) = -8*h(k) + 5*o(k). Determine q(b(g)).\nAnswer: -4*g - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -436\/1079 - -8\/83. Suppose -v - 8 = -y - 4*y, 3*y - 9 = 2*v. Which is bigger: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 252*o*p**6 - 45*o*p**4 - 1641*o*p**2 + 1 wrt p.\nAnswer: 30240*o*p**3 - 1080*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1760903 is divided by 148?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 h when four letters picked without replacement from {l: 7, h: 5}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 35. Suppose n + 81 = -m*n + 4*t, t = -2*n - 135. Let b be (-6)\/(-36) - (n\/(-18))\/(-1). Solve 3*i + 16 = -5*u, -b*i + 4 = -6*i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 756, -63 in increasing order.\nAnswer: -63, 0.4, 756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*w = -46*w - 660. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*n + 3, -n = r + 2*n + 3. Suppose -5*j = -x - 4762, -3*j + r*j = x - 2862. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -5*i**3\/2 + 11*i**2\/2 + i. Let k(l) = 7*l - 5. Suppose 2*t - 14 = 6. Let o = 16 - t. Calculate o*g(d) + 13*k(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 238*k**4 + 3*k**3 + 106448*k**2 + 138522233?\nAnswer: 952*k**3 + 9*k**2 + 212896*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 457747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from eoemeux.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 8.3. What is the closest to -1\/3 in -1\/5, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10068 = 2*a - 2*o, -32*o - 30248 = -6*a - 37*o. What is the highest common divisor of 44 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 26*v**2 + 25*v - 613. What is k(-28)?\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + y - 283 - 67 = 0, -n - 5*y = 96. Let h = n - -49. Let l = 0 - h. What is the remainder when l is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 55 - b + 2*b - b - 2*b. Calculate the remainder when p(0) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.096 times -0.035?\nAnswer: -0.00336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220002 (base 3) in base 14?\nAnswer: -aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -4*g + 16, -139*u - 40 = -2*g - 134*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*u**2 + 72237*u - 1081530 = 0. What is u?\nAnswer: 15, 24034\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, w: 4, q: 3, g: 2}. What is prob of sequence qgc?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**2\/4 - 122126*a - 14914759876 = 0.\nAnswer: -244252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34833698 - -47.\nAnswer: 34833745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1\/793 (c) -1.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*r**2 - 2 + (2*r - 3*r + 4*r)*(-2*r - 4*r + 2*r) - 2*r**2 - 4*r + 4*r + r to the form i*r**2 + n + g*r and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 2:32 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 591 and 2416993?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.2 + 0.9. Let k = -5 + w. Suppose -3 = a - 4*a. Is k bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1598, 2\/7, -1, 1\/3 in descending order.\nAnswer: 1\/3, 2\/7, -1, -1598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*j + 8. Let f be 8 + -8 + j\/10. Factor -f + 0*a**2 - 6\/5*a + 2\/5*a**3.\nAnswer: 2*(a - 2)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3138\/13 less than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 1008.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1. Let t(z) = 2*z + 22. Let d(s) = -88*n(s) + 4*t(s). Let c(p) = 2*p + p**2 + 7*p - 9*p + 0*p. Give c(d(b)).\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 150 = 5*m + 5*f, 12 = 3*f. Suppose -5*u - 5*s + 331 = -44, 4*u - 4*s = 308. Let x = u + m. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, 1, -0.1, -25 in decreasing order.\nAnswer: 1, 0.1, -0.1, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 33*m**2 - 327*m - 357.\nAnswer: 3*(m - 7)*(m + 1)*(m + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 7*o**2 + 3*o + 1. Let p be c(-6). Let d = p + -11. Let w be (-6)\/d + (-33)\/(-12). Solve 2*t + 4*v - 18 = 0, 0 = w*t - 5*t + 5*v - 17 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + 2 + 3 - 6 - 2*s**3 + 2*s**2 + s**3 - 2*s**2 + (-4 + 3 + 0)*(-3*s + 3*s + 3*s**3).\nAnswer: -4*s**3 - s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 35 = 5*x, -3 = -4*x - 5*b + 25. Suppose x*w - 15*w = -32. What is the highest common factor of 20 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -4) + 2\/(-1). Let r(b) = -8*b - 1. Let x be r(-1). Suppose -c + g*c = -x. What is the remainder when c is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 201?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 greater than or equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -88*k. Let g(s) = -24*s**2. Calculate r(g(y)).\nAnswer: 2112*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -377*s**4 - 27*s**4 - 286*s**4 - 5*s**4 - 4*s**4 + 3*s**4 + (-2*s**2 + s**2 + 0*s**2)*(2*s**2 + s**2 - 2*s**2).\nAnswer: -697*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -19 + 35 + 8*v + v**2 + v - 15. Let l be g(-9). Which is greater: 1\/23 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50880)\/(-72))\/53*9\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1 + 3. Let h = 0 - b. Which is smaller: h or 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/16 + (-13)\/12*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-480)\/(-112))\/(1\/(-7)). Let s be 81\/15 - 3*(-4)\/i. Suppose 154 = 4*d - s*y - 1, -4*d + 163 = 3*y. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**(-5\/6))\/g))**(3\/8)*(g**(-1)\/g*g*g)\/(g**(4\/7)*g))**(-22) assuming g is positive.\nAnswer: g**(1089\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*o - 20 = o, 8 = g + o. Suppose 3*t - 18000 = -2*b, g*t + 4*b - 757 - 23243 = 0. Round t to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8 + 11*h**2 + 6*h + 3 + 9*h + 10*h**2 - 20*h. Let i(n) = -116*n**2 + 28*n + 28. Let x be -33 - (0 + (-5 - 0)). Calculate x*d(y) - 5*i(y).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgggggggbgg. What is prob of sequence bb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1645281 is divided by 501?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 204764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnavannaannnavaavn. Give prob of sequence anvn.\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35\/3 - -11. Let k be 3\/(-12) - (-53)\/12. Let z = -193\/42 + k. Which is the second biggest value? (a) -1\/6 (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 14*a**2 - a. Let s(d) = 9010*d - 9010*d + 0*d**2 + 2*d**2. What is s(p(c))?\nAnswer: 392*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 17216?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*11*(1612\/341)\/26.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*s + 4*s + 4, 0 = 2*s - 5*k + 20. Let v be (3 + (-16)\/5)\/((-10)\/(-25)). Which is bigger: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*o + 100. Suppose -8 = s + s, 2*q - o = 3*s. Suppose -q*v - 8 = -6*v + 2*p, -4*p = -2*v + 10. Solve 3*n = 3*g, v*n = -g + 3 + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84626856571\/21945 + -26994221\/7. Let v = s + -2\/627. Is 1\/4 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 113766?\nAnswer: -113764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212834684 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sivslyk. What is prob of picking 1 i and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22268765, 22268761, 22268757, 22268753, 22268749, 22268745?\n\"Answer: -4*c + 22268769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-430)\/(-50) + -9)\/(3\/5)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or -125?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3748 and 265736948?\nAnswer: 3748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(6\/(4\/(616\/21)))?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + g = 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2943 + -2808. Calculate the highest common factor of u and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, -31, 54, 0, 3.\nAnswer: -31, -10, -1, 0, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78212 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 10 - (0 + (-1)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6787.\nAnswer: 11, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 700, 1397, 2104, 2827, 3572, 4345, 5152?\nAnswer: 5999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + 0.01.\nAnswer: 36.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 3*q**3 + 0*q**3)*(-2*q - 3*q + 4*q + 0*q + 5*q - 3*q + 5*q - 2*q - q + q + 1 - 1 + (2 - 1 - 2)*(2*q - 2 + 2) + 3*q + 6 - 6).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, i: 4}. Give prob of picking 3 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnonnnano. What is prob of picking 2 n?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iowiw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -2*f**3\/3 + 356*f. Let l(g) = -13*g**2 + 2. Calculate k(l(j)).\nAnswer: 52*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -611, 0, 2 in increasing order.\nAnswer: -611, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -407 - -419. Solve k = -2*m + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49158?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*y + 70 + 18, -3*y = -3*t - 66. Suppose -y = -3*p + 2*s, 3*p - 6*s = -s + 37. Let b be (1 + -2)*(-4 + p). Solve b = -d + 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 10*s + 11. Suppose -57 = 6*u - 3. Give o(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -704340\nAnswer: -3521700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5 + 8 - 3*l + 6*l**3 - 5*l**2 - 2 - 5*l**3. Let m be z(5). Which is smaller: -13\/4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 385?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whw when three letters picked without replacement from whhwhhhhhhw.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 118*f. Let u be l(0). Let h(m) = -m**3 + 4*m**2 - 2. Let b be h(4). Sort b, -1, u, 18 in decreasing order.\nAnswer: 18, u, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 110 = 2*r, -3*r = 140*w - 142*w + 105. Solve -42*f - w = -51*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 175 = -10*y + 5*y, 0 = 4*y + 3*a - 137. What is the remainder when y is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 - 1.54. Let p = y - -2. Sort p, 0, -2.\nAnswer: -2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -6631068.\nAnswer: -1\/3315534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -11. Let h(y) be the first derivative of 0*y**5 - 2\/3*y**3 + 1\/3*y**6 + l*y - 1 + 0*y**2 + 0*y**4. What is the third derivative of h(g) wrt g?\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 12:34 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1520 + 3181?\nAnswer: 1661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -4*u + 154. Let k = 395 + -213. Calculate the greatest common factor of k and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0*i + 5*s + 1, 29 = -4*i - s. Let d = 9 + i. Let l = -5.5 - -5. Sort 3, l, d in ascending order.\nAnswer: l, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1166 and 54.\nAnswer: 6.2964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32505 and 2955.\nAnswer: 32505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20955, 20957, 20961, 20967, 20975, 20985?\n\"Answer: o**2 - o + 20955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104496 is divided by 9182?\nAnswer: 3494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62899327 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.3. Let y = 1 + -0.6. Let n = -0.1 + 0.6. What is the nearest to r in n, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 216*t + 12 = 211*t, 0 = 3*i - 5*t - 23 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 1. Let j = -24 - -55. Let q = 33 - j. Suppose q*x + 0 = 8. Give k(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 115, 384, 813, 1396, 2127, 3000?\n\"Answer: -s**3 + 86*s**2 + 18*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240720 divided by 3540.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -2*r + 2, -74*r - 26 = -76*r - 6*x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 7*i + 4*i - 5 = 0, -5 = p + 2*i. Let m be (-1 - -5) + 0 + p. Solve 3*d + 15 = -2*x + m, 15 = -3*x - 3*d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2296 (base 14) to base 7\nAnswer: -23346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*q - 581*q = -567 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 193797768?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 + -2. Let m = -12785 - -12785.2. What is the nearest to l in m, -6, -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 - 111 - 25*g**4 + 220 + g**3 - 112 in the form d*g**3 + f + c*g**2 + b*g + v*g**4 and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmeemmem. What is prob of sequence meem?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5148*w - 15438. Calculate m(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 9:00 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let b be ((-1)\/(-6))\/((817\/114)\/43). Let u(p) = 67*p**2 + p. Determine b*v(r) + u(r).\nAnswer: 67*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 911*l - 101. Is n(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 t when four letters picked without replacement from jjjjjjjtjjt.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-20))\/(14\/5). Let k = -0.13 - -5.13. Let b = 0.8 - 0.5. What is the nearest to p in k, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2783 divided by -5\nAnswer: -2783\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 18*s + 10. Let n be y(0). Is n - -5741 - (-1 - 0 - -5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1338 and 4038?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69935440 is divided by 2210.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -12*q**2 - 99*q - 63. Let j(u) = -13*u**2 - 99*u - 92. Give -2*j(x) + 3*o(x).\nAnswer: -10*x**2 - 99*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.3 take away -0.06665264599?\nAnswer: -9.23334735401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 2*z - 1 + 4. Let d be (-2 - 3\/3) + 3. Let h be (d - -1)*(1 + -4). Calculate g(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/3*-2 + 2. Suppose q*s + 3*s = -24000. Round s to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.74 - -0.8. Let k = f - -0.14. Is k > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320140120 (base 5) in base 8?\nAnswer: -23772343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 132 (c) 10\/149 (d) 105\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3307 - 2591. Calculate the remainder when t is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.722 - -2226.378. Let h = p + -2229.063. Let v = -20 + h. What is v rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 84*l - 1. Is h(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 + 1.1. Let y = 0.07522 + 7.92478. Put y, m, -0.5, -2\/7 in ascending order.\nAnswer: -0.5, -2\/7, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26697943.\nAnswer: 1061, 25163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-2 - (-10 + -4)) + 1 + -13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32820, 65627, 98430, 131229?\n\"Answer: -2*z**2 + 32813*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -577634 or -577629?\nAnswer: -577634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7787, 31154, 70099, 124622?\n\"Answer: 7789*r**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.15 and -517056?\nAnswer: 517054.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*u**2 + 109*u**2 + 103*u**2 + 176*u**2 - 162*u**2.\nAnswer: 268*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 16208316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 21007 - 21045 = -4*y, 0 = 3*y - 2*p - 26 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22093.34 milligrams in micrograms?\nAnswer: 22093340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -238*c - 2127. Determine g(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 - 301*f**3 + 302*f**3 - 1 - 2*f - 1 - 2188*f**2 to the form h + b*f + y*f**2 + d*f**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - 0) + -259 + (166 - -88).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1982.6*0.1.\nAnswer: -198.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.46, -19, 2\/7, -2, -2\/15 in decreasing order.\nAnswer: 2\/7, 0, -2\/15, -0.46, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.79 + 17.69. Sort -2, -16, k, 0.4.\nAnswer: -16, -2, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dox when three letters picked without replacement from xoxoxxdzixooxxoxoxx?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9599 - -0.0401. What is the closest to 0.06 in 9, 18, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 15 = 0, 5*o + 4*c - 42 = -0*c. What is the greatest common divisor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1792 is divided by 90.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.505571.\nAnswer: -1.011142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23074, -22203, -21332, -20461?\n\"Answer: 871*m - 23945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 0*m**4 + 0*m + 1\/120*m**6 + 0*m**3 - 4*m**2 - 1\/20*m**5 + 0. What is the third derivative of w(d) wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 75 = 5*k - 0*a, 4*a + 75 = 5*k. Suppose 2*p - 45 = -3*d, -3*d - 2*d - 3*p = -75. Calculate the highest common divisor of d and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 117 = -5*m - 5*a, 148 = 4*m - 4*a. Let c(f) = -f + 10. Calculate the remainder when m is divided by c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1540081676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2405 in 1, -46, 0.2?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*r = 3*r + 462. Let y be 25\/(-10)*(-4)\/5. Suppose -n = -y*n + 42. Calculate the remainder when n is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004694 rounded to 4 dps?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12274580, 12274578, 12274576, 12274574?\nAnswer: 12274572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 62 (b) -1\/4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y + 3*y)*(2 - 30*y - 33*y + 62*y).\nAnswer: -y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventy-three quarters of a milligram?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 1)\/(-1) - (-9 - -9). Solve -2*s - a = -13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*r + 184*r + 12723 - 1731 = -3*r for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ereeeemremrerrrrrr. Give prob of picking 2 r.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, n: 4, l: 7, h: 5, f: 2}. Give prob of sequence nnln.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 16) to base 3.\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from emeembbmeeb.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17177680 by 3435536.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 9 - 26. Does 7 divide 2 - (1 - h) - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -1\/10*a**5 - 7\/24*a**4 + 3\/2*a**3 + 1\/120*a**6 + a + 0 - 3*a**2. Let o(n) be the first derivative of k(n). Determine o(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-8*s**3 + 3 - 3)*(3 + 2 + 1).\nAnswer: 96*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.945 and 0.3?\nAnswer: 4.1835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2779 + 2781. Let z(o) be the first derivative of -2\/39*o**3 + 1\/13*o**c + 2\/13*o - 1\/26*o**4 - 16. Factor z(d).\nAnswer: -2*(d - 1)*(d + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2837, -25269, -86079, -204455, -399585?\nAnswer: -690657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 25. Let b be (-4)\/(-12) - s\/(-6). Factor 0 + 4\/3*r**2 + b*r + 2\/3*r**3.\nAnswer: 2*r*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*c + 33 - 1 = 0, v = -2*c + 13. Suppose -5*l + 84 = v*k - 288, -3*k - 4*l + 372 = 0. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*y - 41 - 2*y + 16 - 3*y)*(-3*y + 5*y + 2*y) in the form k + b*y + p*y**2 and give b.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4205 - 4195. What is the greatest common factor of c and 890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 134913878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 0*h + 2*n + 6, 2*h = -n - 3. Let q(c) = 2*c + 4. Let g be q(8). Let r = g - 18. Sort r, 1, h in decreasing order.\nAnswer: r, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**8\/112 - f**6\/20 + f**4\/8 - 2*f**2. Factor d(c).\nAnswer: 3*c*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 t when three letters picked without replacement from tbzsbttttttz?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 + 3 - n**2 - 3*n**2 - 5*n. Suppose -13 = -4*c + 5*z + 11, -4*z = 0. Calculate s(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31402 + 5869 - 21446 = 1449*o + 118207 for o.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 + 3. Let y = t + -0.9. What is the third smallest value in y, -3\/8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11411 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 111049 - 111049 - x. Let h(y) = 25*y**2 - 1. Calculate h(n(k)).\nAnswer: 25*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 10*i**2 + 2*i. Let c be s(-1). Solve -2*d - 3*g = -3, 3*d - 3*g = -4*g + c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 28*v**2 + 14*v - 19. Let l be y(18). Suppose -3*o = 2*o + f - 18, -4*o + 5*f = -26. Suppose -b = o*k - l, 3*k = -k + 3*b + 9317. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72496864.\nAnswer: 2, 11, 205957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.6 and 1.6?\nAnswer: 2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**4\/4 + 3*y**2\/2 - 4*y - 11876. Give v(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 462, 466, 474, 486, 502, 522?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/9)\/(y*y*y\/y**3))\/(y**(-1\/3))**(-15))\/(y**(-6)*y\/(y**6*y))**(2\/3) assuming y is positive.\nAnswer: y**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*s - 39, 0 = 5*a + 4*s - s - 81. Calculate the remainder when (-2 - -31)\/((-1)\/(-1)) is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 6:21 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(35) + (sqrt(35) - ((sqrt(140) - -1*sqrt(140)) + sqrt(35) + sqrt(35))))\/(sqrt(360)\/sqrt(2)).\nAnswer: 10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*w + 60. Let a = -10 + w. Let c be (29\/a - 3)*4. What is the biggest value in -3, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3) + (-10)\/15)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 0 + 0*d**4 + 17\/20*d**5 - 7*d + 0*d**2 + 13\/6*d**3. Find the second derivative of l(f) wrt f.\nAnswer: 102*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 + -67. Suppose -d*x + 66 = -38*x. Suppose -x*h = -10*h - 262. Does 40 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067011187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n + 9*n + 4527 + 12119.\nAnswer: -4*n + 16646","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 73\/6?\nAnswer: 73\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2*x = -6, -143*w - 2*x = -148*w - 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 30*b**2 - 342*b - 10775. What is n(-29)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.064? (a) -0.1 (b) -0.2 (c) -1\/2 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 4*f + 3*f)*(-f + 0*f - f)*(1 - 3*f - 1)*(-40 + 8 - 63).\nAnswer: -1140*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1732 - -0.045545?\nAnswer: -0.127655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.346999592 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172 - -150. Let t(a) = -a**2 - 29*a + 18. What is the units digit of t(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a93a + -a?\nAnswer: -8a949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + sqrt(117) + 1 + sqrt(117) - (1 + sqrt(117) + -2))**2)*-2*4.\nAnswer: -1016 - 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 3*x - 7. Let g be z(10). Differentiate 2 - 124*f + 76 - g*f + 250*f wrt f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q**(-2\/13)*q*q)\/q*q)\/q*q**5*q)**(4\/7))**(3\/14) assuming q is positive.\nAnswer: q**(612\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a**(-3))\/a))**(-5\/8)*a**2\/a*a**(6\/7))**(6\/11) assuming a is positive.\nAnswer: a**(-27\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2572 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5403 + -5402.9. Sort -103, d, 0.4, 3 in decreasing order.\nAnswer: 3, 0.4, d, -103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*m = -4, 3*m = 5*p + m - 20. Suppose 9 = -3*g + p*g. Let a(s) = 4 + 8 - g*s - 6 + s**2. What is a(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -1, -3, 4, 1420\/1627?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.01 take away 280781.2095?\nAnswer: -280782.2195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065612?\nAnswer: 2, 3, 88801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 0.966, 1\/5, -6\/5 in descending order.\nAnswer: 4, 2, 0.966, 1\/5, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.998057 hours to nanoseconds.\nAnswer: 10793005200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/24 > -111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -9*c**3 + c - 280. Let d(x) be the third derivative of -x**5\/30 + 2*x**2. Calculate m(d(j)).\nAnswer: -108*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107 - 107.289. What is m rounded to two decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*p - 84*p + 1596*p + 1611*p.\nAnswer: 3775*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49623753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 143?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 - y - 2. Let m(o) = -13*o**2 + 10*o + 6. Let i(t) = -2*m(t) - 6*r(t). Let p(c) be the first derivative of c**3\/3 - 21. What is i(p(u))?\nAnswer: 8*u**4 - 14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128038355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 208. Let i = -120 + p. Let y = 89.00000057 - i. What is y rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 smaller than -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*-14 + (43 - (16 + -13)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 273 = -10*i. Factor -q**4 - 19*q**2 + 6*q**2 - 14*q**2 - 6 - 2*q**4 + i*q + 15*q**3.\nAnswer: -3*(q - 2)*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 388, 4812, 16786, 40084, 78480, 135748, 215662, 321996?\n\"Answer: 629*n**3 + n**2 + 18*n - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 696, 716, 734, 750, 764, 776, 786?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -181 + 187.7. Let t = y - 8.7. Let f be ((-6)\/(-16))\/(4 + -1). What is the nearest to -1\/3 in -0.1, t, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 2*l**2 - 3*l + 3. Let y be q(2). Find the second derivative of -11*a**5 + 4*a + y*a - 16*a - 4*a wrt a.\nAnswer: -220*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 41\/2 of a day?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8290 is divided by 151?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 5:00 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.650888 nanograms?\nAnswer: 0.007650888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19\/55 + -8\/55. Let h = 4.4 - 4. Which is greater: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 66*r**2 + 2*r + 1. Let q be t(-1). Let f = -13 - -21. Suppose -g - f = -q. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3\/8 - 695*b**2\/2 + 24947*b\/8 - 2771 = 0.\nAnswer: 1, 8, 2771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16807 - 34?\nAnswer: 16763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5308, 7300, 9292, 11284, 13276?\n\"Answer: 1992*g + 3316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 divided by -4?\nAnswer: 113\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 511799 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6.5, -23, -5\/4, -44, 7?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (61 - 61) + (2 - 2 - (-2 - 2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3219122 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 6007, 1, 0, -9 in ascending order.\nAnswer: -9, -4, 0, 1, 3, 6007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -212706\/171185 + -3\/9782. What is the common denominator of 91\/30 and a?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 + -14?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**5 + 48*r**4 - 135*r**3 - 486*r**2.\nAnswer: -3*r**2*(r - 9)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-15) + 3 + (-12)\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 13 + 7*f + 3*f**2 + 3*f - 2*f**2. Let h be o(-9). Solve -h*c + 12 = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -63, -191, -425, -783, -1283, -1943?\n\"Answer: -3*k**3 - 35*k**2 - 2*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.3 + -8. Let n be ((-9262)\/(-924) - 10)*4. Put n, 37, c in descending order.\nAnswer: 37, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1665 = 2*b, 7*b - 2775 = -5*x + 2*b. Suppose -x = o - 4*o. Let y = o - 132. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {u: 5, c: 13}?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 29\/((-261)\/(-6))*2\/8\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Let a = x + -3. Solve s - 19 = 3*v + v, a = -5*s + 4*v + 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a centimeter in micrometers?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 440481 or 440417?\nAnswer: 440481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3910 + 11728\/3. Which is the nearest to -0.47? (a) q (b) 0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 20, 0 = -2*k - 16*y + 20*y - 26 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5694197*f*x**2 + 2*x**2 + 3051458 with respect to f.\nAnswer: 5694197*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-9) + (-78)\/(-9). Let y = -15 + n. Let m(q) = 3*q**3 - 17*q**2 - 23. Let w(x) = -x**3 + 6*x**2 + 8. Calculate y*m(t) - 17*w(t).\nAnswer: -t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2. Let l(c) be the second derivative of 17*c**3\/6 - c**2\/2 + 27*c - 10. Calculate l(x(n)).\nAnswer: -34*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -18, 1\/8, 5, -4, -0.5, -5, -36060?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19836413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 8*f**2 - 4*f - 22. Let d be y(9). Suppose 2*j = d + 23. What is the highest common divisor of j and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.723936 to one decimal place.\nAnswer: -11.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + 4)*((-13860)\/(-15435))\/(4\/(-14)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -117*i**3*t**2 + 476*i**3 + i*t**2 wrt t.\nAnswer: -234*i**3*t + 2*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11337.1 and 0.1?\nAnswer: -1133.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 2417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 2 (c) 0.1357 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 12*f**2 + 11*f + 2. Let u(y) = 10*y**2 + 12*y + 3. Let b(z) = 4*s(z) - 3*u(z). What is the units digit of b(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*o - 49425, 0*u = -3*o + 5*u - 29674. Let s = -1517 + o. What is s rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2179838\/5 - -435968. Solve -g*n**3 + 18\/5*n + 0*n**2 + 0 = 0 for n.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 1:33 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s = 120. Let g be (-2)\/(-8) - s\/(-16). Solve -g*x + 7 + 5 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -142 at most -130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 788927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -6 (b) 0.3 (c) -1\/5 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*n - 15 = 0, 0*z - 3*n - 9 = 3*z. Suppose z*r - 3*y - 4 = -r, -r - y + 4 = 0. Let g = 17 - 16.9. What is the closest to g in -2, 1\/2, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1153624 - 57?\nAnswer: 1153567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**5 + 515*q**4 + 2955*q**3 + 4365*q**2.\nAnswer: 5*q**2*(q + 3)**2*(q + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -26. Let v = -1 + 3. What is the smallest common multiple of d and v + 2\/1 + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28653 - 144308\/5. Let g = 206 + h. Suppose i + 9 = -2*i. Is g at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 19 = 3*l, 0 = 157733*l - 157737*l + 4*f + 24 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -66 in -17, 2\/7, 0.1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152377?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367504441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -0.06, -0.1, -4, 5 in descending order.\nAnswer: 10, 5, -0.06, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 969.5915cm in kilometers?\nAnswer: 0.009695915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4266021*k**3 - 4*k**2 - 443*k + 9559 wrt k?\nAnswer: -25596126*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324535 is divided by 79987?\nAnswer: 4587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 63*p**2 - 81*p - 1075. Let c be g(-64). Solve 43 = -6*f + c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 30*m + 1587. Let c be b(116). Suppose 3*f + 19 = -4*h - 1, 5 = 4*f - h. Suppose -5*s + 5*n + 8450 = f, -2*s + c = s - 4*n. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 733940463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18.6 and -0.120907.\nAnswer: 18.479093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -64946 * -0.09568\nAnswer: 6214.03328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -28153 + 14080 - 11*j + 14078. Determine b(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0042145384 to 5 decimal places.\nAnswer: -0.00421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6202177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*v. Let j(c) be the first derivative of -c**3\/3 + 165*c + 1. Let u be j(v). What is the highest common divisor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (488\/(-24))\/(2\/(-78)). Let x = v - 448. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -44.6, 10, -5\/6, -4\/7, 0?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*p**3 - 1 + (-15 + 15 - 10*p)*(-4*p**2 + 3*p**2 + 0*p**2).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-116)\/240 - 4\/(-10). Which is the third biggest value? (a) 1\/7 (b) -4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25236 - 103?\nAnswer: 25133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + 8 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Let m(c) be the second derivative of -30*c + 1\/6*c**3 + 1 + 0*c**4 - 7\/2*c**2 + 1\/20*c**5. Determine m(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 323331 (base 6) to base 2\nAnswer: 110100001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21121231 (base 8) in base 7?\nAnswer: -53142626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 589 divide 27979788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 185.00000096 - 185. What is p rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*t + 3. Suppose 2*y + 4*r = 82, 2*r = -t*y - 3*r + 120. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9835 + 1960 - 3402 = 537*h for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/12 + 556\/4170?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5d202 (base 15) to base 11\nAnswer: 193531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8*x + 7*x + 0*x)*(-3*x**2 + 2*x**2 + 0*x**2) + 1 - 1 + x**3)*(0*x + 3532 - x - 3557).\nAnswer: -2*x**4 - 50*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by -16.\nAnswer: 55\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5050179 times -16\nAnswer: 8.0802864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 132*o = 127*o + 65, 3*d + 41*o + 151 = 0 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 + 215. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (396\/54)\/(8\/(-36)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32788*s**2 - s + 32780*s**2 + s.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (8 + -7 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 200 = -57. Let w(m) = -m**2 - 10*m - 5. Let c be w(-7). Suppose 2*d = c + 44. Calculate the remainder when d is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2117829721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0329 + 21.7329. Let l = a + -21.699558. What is l rounded to 5 decimal places?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*(-2 - 390\/(-208)). Put -0.5, -2\/3, 4.72, w in increasing order.\nAnswer: w, -2\/3, -0.5, 4.72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 4:30 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-10) + 72\/15. Let j be 2*(3 + 4\/(-8)). Solve w*h = 3*p - 15, h = -j*p - 0*h + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128631967\/378 + 340296. Calculate the common denominator of 17\/36 and t.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a centimeter?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m - 12*m + m**2 + 4*m.\nAnswer: m**2 - 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3 - r**3 - 4*r**2 - 3 + 3 - 7*r**2. Let w be d(-11). Suppose 4 + h - 3 - 2*h**3 + h**w - h**2 = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-156)\/16)\/((-48)\/64) and 11?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -966697 divided by 3\nAnswer: -966697\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 2*q. Let c be w(-2). Suppose -y = -5 - 1. Suppose k + k - 2*n = y, -2*k + 5*n = c. Solve 0 = k*a + 4 - 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 7:15 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 - 4*o**4 + o**2 + 0*o**2 - 2*o**4 + 5*o**4 - o**4 + (33*o**2 + 4*o**3 - 33*o**2)*(-1 + 1 - o).\nAnswer: -9*o**4 + o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (-50)\/3*(12 + (-936)\/65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415473927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 18 = 2*d, 24 = 137*d - 141*d - 5*u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7\/2, -4, 2\/3, -309, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 267 + -156. Find the third derivative of -17*t**2 + 7*t**2 + 98*t**4 - n*t**4 wrt t.\nAnswer: -312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130 - 0) + -6 + (-17 - -2).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**2\/5 - 975*v + 391500 = 0.\nAnswer: 725, 900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117545258.\nAnswer: 2, 5783, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12705 divided by 1815?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 849 at least as big as 3399\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6805703mg to micrograms.\nAnswer: 680.5703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1354, 2\/2153, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690001.\nAnswer: 13, 53077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 167 + 548. Suppose 0 = z - 1 + r. Let u = z + 1361. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 6*w**2 + 136*w - 836. Calculate l(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1984 or -1983?\nAnswer: -1983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 7.\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21739777 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*b = -84, 4*p + 3*b + 139 = -p. Let k = p + 51. Suppose 0 = -5*s - 0*s + k. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 5:30 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n. Let t(r) = -r**2 + r + 1. Let h(v) = v**2 + v + 1. Let c(z) = -2*h(z) + 2*t(z). What is c(i(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12 + 22 - a - 8 + 5*a**2. Let g(f) = -9*f**2 + f - 3. Give 3*g(k) + 5*q(k).\nAnswer: -2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(0 + (-3)\/9). Let n(y) = -y**3 + 5*y**2 - 2*y + 1. List the prime factors of n(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183460.\nAnswer: 2, 5, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bttwujwtwjewut. What is prob of sequence buwe?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -42.26. Let c = 0.7400122 + u. Round c to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*l = -6, -3*h + 2*l + 8 = -2*l. Suppose h = -r + 2*r - 6. Solve o - 5 = r*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13390510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 28*k - 34*k = -1210. Calculate the least common multiple of 18 - 0*4\/(-16) and k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -5*g**2 - 3*g - 1. Let b be k(-6). What is the common denominator of (-3)\/(-5) - b\/20 and 83\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7567.575 * 88.\nAnswer: -665946.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*m**3 + 37*m**3 + 32*m**3 + 38*m**3.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 12*l**2 - 5663*l - 91686. What is v(-16)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**3 + 2*q. Let d(c) = -4*c**3 - 2*c. Determine -6*d(n) - 5*g(n).\nAnswer: -n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 14476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2371493, -4743005, -7114517, -9486029, -11857541?\nAnswer: -14229053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 8:52 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(9) + sqrt(9) + (-2*sqrt(63) - sqrt(63))\/sqrt(7)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*u**2 + 115*u**2 + 56*u**2 - 2 - 2*u**2 + 2 - 2*u**2 + 5*u**2 - u**2 + (3*u + 0*u - 2*u)*(u - 1 + 1).\nAnswer: 139*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*1184284\nAnswer: 47371.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-6))**(-17))**49)**40 assuming i is positive.\nAnswer: i**199920","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 1\/21*y**4 + 0 + 0*y**2 - 1\/140*y**5 + 18*y - 2\/21*y**3. Let d(a) = 0. Calculate a.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 51*b - 311. What is y(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t, 32*f - 11 + 2 = 35*f + 4*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*sqrt(252)*3 + -5*sqrt(252)*-2)**2*3.\nAnswer: 365905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -771537 and -771536 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 220969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(2\/5)*w*w\/w**(-7\/6)*(w**(-1))**(-19))**(-40) assuming w is positive.\nAnswer: w**(-2852\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44164 - 44165.9889. Round j to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36606 divided by 63.\nAnswer: 12202\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3265 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3536?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(4\/7)*v\/((v*v**0)\/v*v))**(-1\/7))**(-4\/5) assuming v is positive.\nAnswer: v**(16\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 171.9093 decades?\nAnswer: 20629.116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25\/63? (a) 5 (b) 4 (c) -2 (d) 2 (e) -3 (f) 0.0242\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 0, 4 in decreasing order.\nAnswer: 4, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.490904 grams in kilograms?\nAnswer: 0.009490904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10767?\nAnswer: 3, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*z = -471 + 1227 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 l when three letters picked without replacement from neeelneeln.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 275 + 489. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -195486404*s. Let n(k) = k. Give d(n(w)).\nAnswer: -195486404*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 7*s**2 + 8. Let y be (-8)\/(-8) + (-10)\/(-2). Let d be l(y). What is the highest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 902.009cm in millimeters?\nAnswer: 9020.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(14*w**3 - 16*w**3 - 1521 + 1556 - 75*w**4).\nAnswer: 150*w**4 + 4*w**3 - 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4 + 672*r**3 + 14698*r**2 - 433692*r + 2209680 = 0.\nAnswer: -310, -44, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, b: 2, y: 7, k: 4, q: 2}. Give prob of picking 1 q, 1 y, and 2 m.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2217 + -97531\/44. Let u = y + -7\/11. Which is bigger: u or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {q: 4, v: 3, z: 2, g: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5 - (-363)\/(-330))*(-982)\/(-16203).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 15*o**7\/7 + 73*o**3\/3 - o**2\/2 + 45. What is the third derivative of s(v) wrt v?\nAnswer: 1800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 4. Suppose h + 1 = 2*h. Let g(q) = 1 - 1 - h + y*q. Give g(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**7\/70 - f**6\/20 + 3*f**5\/20 + f**4 + 2*f**3 - 16*f**2. Find i, given that z(i) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -538.55 and -4.\nAnswer: 2154.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 9. Let i = -7 - u. Suppose 3*q = -i*s + 37, 3*s + 2*q + 0*q = 27. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(343) - sqrt(112)*4) + -1 + 1)**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*o - 4*n + 28 = 86*o, -2*o = -2*n - 14 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 12*f**2 - 23*f - 8. What is w(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 347 - 345 - 75*d**2 - 751*d**2 to the form h*d**2 + k + p*d and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**2 + n + 10. Let p(t) = -t**2 + 1. Determine -l(b) - 3*p(b).\nAnswer: -2*b**2 - b - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5357849392 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3 + 47999*b**2 + 144006*b = 0. What is b?\nAnswer: -3, 0, 48002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 3 + 2 = -2*x - 3, -3*t - 3 = -3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + o - 28. Let w be u(0). Let l = w - -43. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3\/7, -0.5, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 n when three letters picked without replacement from {w: 2, n: 2, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 2*c + 5152, -3*c - 5152 = 2*q - 6*q. Is 23 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33, -29, -21, -9, 7, 27, 51?\n\"Answer: 2*h**2 - 2*h - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/15)\/c**5)\/((c*c**(-1\/7))\/c**7))\/(c*c*c**(1\/10)*c**(2\/11))**(-1\/17) assuming c is positive.\nAnswer: c**(55387\/39270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3*1)\/(-3) - 5. Let z = 5 - 6. Let y(f) = -3*f**3 - 9*f**2 - 2*f + 4. Let m(d) = d**3 + d**2 + d. Let k(t) = x*m(t) + z*y(t). Give k(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58107 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005058 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125 or -126?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/99*(-42 + -57).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 2048332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/6 - -1*256\/(-24)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(0 - 1 - 1). Let r = n + 17. Suppose 17 - r - 8*w + 7*w**2 - w**3 - 21 = 0. Calculate w.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/33*(-6)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.479 - 0.019. Let x = 0.07 - f. Let s = 0.3988 + x. Round s to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z + 1. Let b(r) = -5*r - 1. Determine 4*b(v) + 7*u(v).\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-187*c + 187*c - 22*c**3)*((0 + 0 - 2)*(0 + 0 - c) - 2*c - 3*c + 4*c)*(-3 - 7 + 5) in the form d*c**2 + b + g*c + z*c**3 + i*c**4 and give i.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t - 2*t - 2*t + 0*t. Let b(p) = -48*p - 44. Let n(z) = z + 1. Let f(q) = 2*b(q) + 88*n(q). Calculate m(f(s)).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**22\/s*s)\/(s\/(s\/s**17)*s*s) assuming s is positive.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 0)*(-65)\/(-39)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 8*t - 39 = 0, 4*d + 43*t = 45*t - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 422401, 422424, 422447, 422470, 422493, 422516?\n\"Answer: 23*o + 422378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 14414331?\nAnswer: 14414332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/7 + 15786102*z**2\/7.\nAnswer: -z**2*(z - 15786102)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*k*q*s**3 - 30*b*k*s**3 - 3*b*k*s**2 + 4*b*k + 2*b*q*s**3 - 96*k*q - 2 wrt q?\nAnswer: -2*b*k*s**3 + 2*b*s**3 - 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.641 + 19.641. Which is the fourth biggest value? (a) 1\/3 (b) g (c) -25\/2 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45905 = 4*x - 10539. Let s = 26152 - x. Let o = -192573\/16 + s. What is the common denominator of o and -7\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j**3 - 4*j**2 - 2*j + 3. Let t(b) = b**3 - b**2 - b - 1. Let m(c) = -h(c) - 5*t(c). Let o be m(-8). Solve 6*q + o = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + h + 0 - 4 = 0, -2*v + 2*h + 8 = 0. Let x be v*(-1 + 0) - -10. Suppose 18 = x*y + 2. Solve 0 = i - 2*d - 11, -2 - y = i + 3*d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 r when three letters picked without replacement from rnrwwwwrnbwhrwrrwwr?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 19 - 5*t - 3*t + 7*t - 27*t. List the prime factors of c(-6).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -4\/19*q**2 + 18*q + 5\/57*q**3 + 0 - 1\/114*q**4. Suppose i(r) = 0. What is r?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 8, -3, -3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 53610107 and -4.\nAnswer: 53610103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 13226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -175\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2490046 = 4692*x + 9249*x + 3973*x for x.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 12489.507 microseconds?\nAnswer: 0.00020815845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**3 + 2*u**2 - 4*u + 1. Let r be c(3). Let k be 2\/9 + r\/9. What is the common denominator of 4\/k + (-37)\/(-38) and -8\/11?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2 = -5*h. Suppose -h*x - 2 = -0*x. Let a(z) = -2*z**2 - 2*z**2 + 7*z**2 + 2*z + 1. Give a(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 135\/6 + (-2)\/(-4). Sort i, 3, -3.\nAnswer: -3, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2241173 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14548226 to the power of 1\/2, to the nearest integer?\nAnswer: 3814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*t**3 - 70*t**3 + 200*t**3 + 152*t**3 + 181*t**3.\nAnswer: 418*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.8 + -128.8. Let s = q - -121.8. Let d = s + -8.8000013. Round d to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvrplbp. What is prob of picking 1 b, 1 v, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s**2. Let d(g) = -g**2 - 23*g**2 + 142 - 142. What is l(d(c))?\nAnswer: -3456*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86.00405 - 86. What is h rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1014*t**4 - 334*t**3 + 12229931*t**2?\nAnswer: 24336*t - 2004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -128*z**2 + 711*z**2 + 2922*z + 1233*z**2 - 340*z**2 wrt z?\nAnswer: 2952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 16 = -4*l, 6*d + 3*l - 25 = 11*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*u - 104, 5*u + 0*u - 80 = -5*t. Solve -19*z = -u*z - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + f + 2. Let m be v(0). What is the third derivative of 0*o**2 + 2*o**5 + 2*o**m + 3*o**5 - 6*o**5 wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a year in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101001 + -1000011110?\nAnswer: -1100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -216 + 260 - (6 - -3)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1267657890?\nAnswer: 2, 3, 5, 31, 107, 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 91\/14 - ((-5 - 6) + (-1170)\/(-100))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 16) to base 4.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (40\/(-15))\/((-8)\/12). Which is the nearest to -1\/2? (a) -2\/11 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 0*m**2 + 5*m**2 + (-1298 + 72*m + 1298)*(m + m + 0*m).\nAnswer: 145*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 58568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 5, -5, 1456, 1 in decreasing order.\nAnswer: 1456, 5, 4, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 + -3.91. Sort -0.2, 1, n in increasing order.\nAnswer: n, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 i, and 1 t when four letters picked without replacement from {t: 3, i: 2, w: 5, g: 4, r: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 + -6 + 10 + 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1129412 + 4*u**2 - 5*u**3 + 2258861 - 4*u**2 - 1129449 + 2*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4290 - 102*n + 550*n + 222*n - 4290.\nAnswer: 670*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0*d - 2*d)*(27 - 27 + d**3 + d**2).\nAnswer: -d**4 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021022021 + 22?\nAnswer: 1021022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3153.2685 times 2\nAnswer: -6306.537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-112)\/12 - (-20)\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-1)\/(3\/(-2))*198\/(-88)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*r = -15, -r = -3*u - 4*r + 9. Suppose -5*i - k + 118 = u, 4*i - 4*k + 6*k - 98 = 0. Calculate the remainder when 113 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u**3 - u**2 - 3*u + 3. Let g be z(2). Calculate the common denominator of 23\/2 and g\/(-8) - (-3)\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*y + 1 - 14*y + 14*y in the form a + s*y and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 14\/237, 0.3, -5, 2\/27, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 16 = -7*t + 8*t, 2*w = -5*t - 26. What is f in 2\/3*f**w + 0 + 0*f = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66656*t**6 - 17*t**5 - 6*t**3 + 87*t**2 + 36*t + 6578 wrt t.\nAnswer: -7998720*t**3 - 1020*t**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.5 - 103.5. Let n = -83.99937 - t. Round n to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*q + 1170*q**2 - 35*q - 5*q.\nAnswer: 1170*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 + 0*t**2 - 2*t**2)*(t**3 - t**3 - 3*t**3) + (2*t**3 + 3*t**3 - 4*t**3)*(-3*t**2 - 4*t**2 + 4*t**2) + 0*t**3 + t**5 + 0*t**3.\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q\/((q\/q**4)\/q))))**(-37)\/(q**(-4\/7))**(-1\/14))**(-4\/33) assuming q is positive.\nAnswer: q**(9672\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*k - 4, 13 = -3*i - 2*k - 1. List the prime factors of (-164)\/i + (-8)\/(-12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88 - -74) + (2 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24.63 from 1.979824118.\nAnswer: -22.650175882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -43. Let y(o) = -o**3 + 3*o**2 + 6*o - 3. Let g be y(4). Factor g*c**2 + 10 - p - 32*c + c**2 + 8*c**2.\nAnswer: 2*(c - 2)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2955074222?\nAnswer: 2, 8353, 176887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2311, -2295, -2255, -2179, -2055?\n\"Answer: 2*f**3 + 2*f - 2315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*m - 21 = 18*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 11. Suppose 2 = o + c*i, o - 27 = -0*o + i. What is the greatest common factor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -136009238*c**3 - 583366602*c?\nAnswer: -816055428*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 1628*i - 173. Let k be p(22). Suppose 12*y - k + 2991 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1\/5, 34, -0.1, 10, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -10)\/((-21)\/(-189)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -52722 - b?\nAnswer: -5272d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 9:56 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 = 5*h, 4*h - h + 55 = 2*z. Suppose 689 - 231 = 4*m + w, 3*m - 4*w - 353 = 0. What is the greatest common divisor of m and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 58.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13 + -14 - (9 - 1). Let n(v) be the second derivative of -v**5\/20 - 5*v**4\/6 - 7*v**3\/3 - 10*v**2 + 5*v. Is n(w) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 9) to base 4\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (1 - (-3 - -6)) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2640, 2635, 2628, 2619?\n\"Answer: -y**2 - 2*y + 2643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -167*g - 598. What is the thousands digit of j(-44)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -4, -1\/7, 4, 0.058?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12375, -49496, -111361, -197970, -309323?\nAnswer: -445420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 921*r**2 + 2751*r + 19521. Calculate q(924).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -4, -3, -196, 1, 2 in decreasing order.\nAnswer: 28, 2, 1, -3, -4, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**(-30)*v**8\/v**(-9) assuming v is positive.\nAnswer: v**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 - (35 + 0 + (-1723 - -1760))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21366 is divided by 475.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 115100909.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 671020.\nAnswer: -1\/671020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*k**3 + 5*d + 13*k**3 - 1384*k**2 + 29475*k wrt k?\nAnswer: -6*d*k + 78*k - 2768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p + 2*p - p as t + j*p and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 7:46 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -w - 5, -4*h + 8*h - w = -13. Let b be (-2 + 2)\/(h + 4). Solve j + 13 - 17 = b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 14*p + 22. Let w be r(-2). Suppose t + 5*v - 21 = 0, -4*v + 8*v = -w*t + 18. Solve -3*l = 2*k - t, -2*l - 4*k - 2 = 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1052141, -1052103, -1052065?\n\"Answer: 38*i - 1052179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -953 + -647. What is d rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-16)*16\/(-6). Suppose 3*i + 3*t - t = 82, -v*i = -5*t - 61. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (4 - (19 + -35) - 4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1576, 1575, 1574?\nAnswer: 1573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 13*p**2 - 15*p + 2. Let c be a(-14). Let g be ((-18)\/792)\/((-2)\/c). Which is smaller: g or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1442 - -1491. Let i be -2 + 0 + 2 - -2. Let p(a) = -y + 49 - 2*a**i. Let r(s) = 3*s**2. Determine p(r(f)).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 + -70. Let y = a - 19.022. Let p = y - 2.378. What is the fourth smallest value in -0.5, -0.2, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -3 (b) -2\/7 (c) 5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**2 + 31*y**2 - 18*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(3 + 1959*f**2 - 1959*f**2 - 80*f**4) - f + f + f**4.\nAnswer: 81*f**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (16\/168*-6)\/((40\/(-84))\/5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**5\/3 - 58*v**4 - 336*v**3 + 32*v**2\/3 + 1792*v = 0.\nAnswer: -168, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940151409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-368)\/96 - (-2)\/(-12). Let w(v) = -5 + 1 - 11*v - 1. Let f(k) = 6*k + 3. Let b(n) = c*w(n) - 7*f(n). What is the first derivative of b(h) wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4623\/483 + 8\/(-14). Solve -o*v = 167 - 158 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1370953 = -3*f, -1370948 = -12*f + 15*f - 2*s. Let d = 1075986 + f. What is d rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h - 8. Let o(q) = q + 1. Let l = 10 - 5. Let w(g) = l*o(g) + c(g). Let y(k) = -2. Determine 2*w(a) - 3*y(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -1*sqrt(19) - (-2 + sqrt(19) + 2))*-1)**2.\nAnswer: 12*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 9:49 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -376*w**2 + 1672. Let b(r) = 93*r**2 - 418. Let f(h) = -9*b(h) - 2*v(h). What is the derivative of f(u) wrt u?\nAnswer: -170*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 4. Let s be 3 - (0 + b + 2). Factor -2 - 5 + 6*c + s - 3*c**2.\nAnswer: -3*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g - 4 - 4 + 2*g**2 - 4*g + 2*g**2. Let h(u) = 5*u**2 + 7*u - 9. Let d(v) = -2*h(v) + 3*y(v). Does 12 divide d(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133.928 - 0.728. Let q = i + -133. Let m be 0 + 1 + 7\/(-14). Which is the nearest to -1\/2? (a) q (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mummbmmmmmm?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034701 to the power of 1\/2, to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*f = 111*f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:08 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 2. Let k be p(-3). Let x be (6\/33 - 8\/44)\/1. Suppose x*t = k*t - 85. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3 + 11. Is f smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30469 - 63368 + 150256 = -3304*v - 130443 for v.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 1 + sqrt(567) + -5)**2.\nAnswer: -80*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 15. Suppose -2*x + x + 3 = j. Suppose 30 = -0*k + x*k. Calculate the least common multiple of k and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 + 1047?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50043025 is divided by 2585?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - -28. Let m = r - 23. Let y be (6\/4)\/(m\/64). Solve -3*w + 2*h - 5 = -3*h, y*h - 11 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/12)\/c)\/c*c*c*c**(-7))\/(c**(1\/4)\/c)**(2\/33))**15 assuming c is positive.\nAnswer: c**(-4535\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j - 41*h - 250 = -5, 3*j - 143 = -5*h - 184 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -w - 4*w. Suppose h + 4*u = 5*u - 7, -2*u = -4*h - 20. Let t be 5 - -2 - (h + 5). What is the highest common divisor of t and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 5*m - 44605. Suppose -29746 = 3*a - 3*x + m, -4*a = x + 45088. Is (-8)\/(-12) - a\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven quarters of a minute?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/5 or -1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {v: 1, r: 1, j: 1, z: 2, p: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*c + 4*c**2 - 2*c**2 - 3*c**3 - 22*c)*(2 - 3 - 4)*(0 + 6 - 3) as w*c**3 + u*c + a*c**2 + o and give w.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25, 46, 89, 166, 289?\n\"Answer: 2*y**3 - y**2 + 10*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1199667, 2399300, 3598933, 4798566, 5998199, 7197832?\n\"Answer: 1199633*q + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 7)*1*-1. Suppose 16*x - 2*b = 13*x + 32, 3*x - 5*b - 35 = 0. Calculate the highest common divisor of a and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/((-14)\/3381*3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, n: 3}. Give prob of sequence uuun.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -560909*c**3 - 2*c + 753469 wrt c.\nAnswer: -3365454*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 854574\nAnswer: -16\/427287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*j**2 - 2*j**2 + j**3)*(3 + 0 - 1) - 30 + 30 - 24*j**3)*(0 + 0 - 1)*(-3*j**2 - 223*j + 114*j + 107*j).\nAnswer: -66*j**5 - 44*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 19. Calculate the least common multiple of 20 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10596248161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 2*b - 7. What is q(5)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m - 4*m + 18*m)*(-47*m**2 - 8*m**2 + 9*m**2) + m**3 + 6*m**3 + 2*m**3.\nAnswer: -1049*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 120621927 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 10*w**2 + 19*w - 10. Let c be f(-7). What is the third smallest value in 5, c, -0.03?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/11)\/((-93)\/(12\/(-14)*378\/(-108))).\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 37*w - 14. Let z(p) = 106*p - 44. Give 7*d(s) - 2*z(s).\nAnswer: 47*s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-221))\/((-4)\/(-650))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5708 - 4?\nAnswer: 5704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16875 - 147*l**2 - 16875 + (0*l + 3*l - l)*(-3*l + 4*l + l))*(2 - 12 + 1)*(-3 + 0 + 1).\nAnswer: -2574*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/7, 7, -2, 20, -212 in ascending order.\nAnswer: -212, -2, 8\/7, 7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 99*q - 21. Let f(u) = 85*u - 20. Let v(c) = -7*f(c) + 6*n(c). What is v(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4913*w - 108080. Calculate s(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.16, -11\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o - 4*o - o + 0 + 0 + (0 - 1 - 1)*(0*o + 2*o - 3*o) - 1 + o + 1)*(3*o**4 - 5*o**4 + 3*o**4).\nAnswer: -3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12 + -6)*(2 - (-35)\/(-15)). Suppose 2*j - i = -0*i + 3, i = 4*j - 11. Are t and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 36 = -8*q. Calculate the greatest common divisor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7076281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 41785200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -182876, -182881, -182886, -182891?\n\"Answer: -5*p - 182871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43, 250, 807, 1888, 3667?\n\"Answer: 29*z**3 + z**2 + z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 13545.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17735042, -35470084, -53205126, -70940168?\n\"Answer: -17735042*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**2*s**3 + 14*g**2 - 4*g*s**3 + 1015*s**3 + 21*s**2 - 6 wrt s.\nAnswer: 18*g**2 - 24*g + 6090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(544) + (sqrt(544) - (sqrt(544) + sqrt(544) + -1*sqrt(544)))*3))\/(sqrt(288) + sqrt(288)*-2 + (sqrt(2) - (sqrt(16)*2)\/sqrt(8))).\nAnswer: 16*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 7*v + 82. Let p be q(6). Let g = 18 + -36. Let c = 33 + g. Solve d - p*d = -c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**5\/60 - v**4\/6 + v**3\/3 + 3*v**2. Calculate m(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**3 - 10*f**2 + 677*f + 3 wrt f.\nAnswer: 30*f - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*h - 2407 = -281*h + 17465 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + cb70ee?\nAnswer: cb70ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**2 + 0 + 0*p**3 + 0*p + 29\/24*p**4. Let f(j) = 2*j**2. Give f(q(n)).\nAnswer: 1682*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1785*v. Let g(x) = -2*x**2. What is n(g(b))?\nAnswer: 3570*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by 5?\nAnswer: 99\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -438967 by -60.\nAnswer: 438967\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 21\/5*h**5 - 13 + 0*h**4 + 0*h**2 + 0*h + 5*h**3. What is the third derivative of i(y) wrt y?\nAnswer: 504*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -320.75 and -3.99?\nAnswer: 1279.7925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8601.91 - -8602. Let f = 0.49 - 0.5. Which is the closest to -1? (a) 3 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + -3. Let w(d) = 23*d**2 + d - 1. What is the remainder when a is divided by w(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 142877525?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -9, 1\/8, -213, 121.\nAnswer: -213, -9, 0.01, 1\/8, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 51. Let y(k) = k**2 + 4573. What is y(n(q))?\nAnswer: q**4 - 102*q**2 + 7174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106.78 + -106.8. Which is the smallest value? (a) z (b) -2 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -26. Suppose 5*t + 25 = 5*n, 3*n + 5*t + 7 = y*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449 - 10*p**2 + 105 + 118 + 116 + 110.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - g - 4 = 0. Suppose -g*h + 12 = h. Let c(o) = -h*o**2 + 7*o**2 + 0 + 0. Let y(d) = -3*d. Calculate y(c(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6569810 and 49495.\nAnswer: 124826390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15772974769 - -55\nAnswer: -15772974714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453820*t**2 + 26800*t**2 - 487035*t**2.\nAnswer: -914055*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94174?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 324 * -2383177\nAnswer: -772149348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99954 is divided by 98773?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 14*b - 139. Let a be i(-22). What is the highest common factor of 6179 and a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3333106 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5029*d**3*x**2 - d**3 - 3*x**2 - 3*x - 3 wrt d?\nAnswer: -15087*d**2*x**2 - 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3335)\/1450 - (2 + -1 - (3 - 0))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 5*x**2 + x + 5. Let f(t) = t**3 - 15*t**2 - 15*t - 21. Let v be f(16). Let q be n(v). Suppose q*b = -3*b + 309. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1 = -2. Let b = -63 + 59.1. Let h = b - -4. Put h, -2, g in decreasing order.\nAnswer: g, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**3 - 92*o**2 - 5828*o + 5916 = 0.\nAnswer: -29, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19661\/18 - -1093. Suppose 1812 = 4*s + 4*k, 0 = s + 2*k - 83 - 368. Find the common denominator of (-205)\/(-2)*(-7)\/s and p.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1349500 rounded to the nearest 10000?\nAnswer: -1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/129 - -789\/43. Which is bigger: m or 18?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/4)\/(s\/(s**7\/s))*s*s\/s**6*s\/(s\/s**(-14)) assuming s is positive.\nAnswer: s**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2816 and 12?\nAnswer: 8448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901221936?\nAnswer: 2, 3, 2897, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1762 + -782. Let s = -628 + o. Suppose -4*j + 6*f + s = 3*f, 2*j + 2*f - 162 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295*d + 1123 = 296*d. Suppose d - 4961 = -38*r. List the prime factors of r.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026907 to five dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 1 (b) -0.21 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - 851631423.\nAnswer: -851631438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.672 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 87677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4d (base 16) to base 13\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 889 = -38*s + 205 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -34, -47, -60, -73, -86, -99?\n\"Answer: -13*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**3 - c**2. Let x be a(1). Let i be (-3)\/(-1) - (4 + x). Let z(q) = 2*q + 2. Let p be z(-3). Are i and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 8*y**2 - 13*y + 77. Let r = -30048 + 30056. Give z(r).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*-1*(8 - 7) - -1. Suppose -u + 11 = d, d + 0*d = 2*u - 1. Suppose 4*s - t = -12, 3*s = -2*s - 2*t - 15. Sort d, s, 2, l in increasing order.\nAnswer: l, s, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.9459729 to four decimal places.\nAnswer: 2.946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -2 + 21 + -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1002\/5 - 201. Let h = -10 - -3. What is the third biggest value in h, j, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/423 and -32\/317015?\nAnswer: 2853135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-10))\/(2\/(-5)). What is the third derivative of -8*x**3 + x**n + 8*x**3 + x**5 wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2010\/603)\/((210\/(-4704))\/((-12)\/(-14)))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/((-21)\/(-18)))\/(-1))\/(6\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 * -1646339.8\nAnswer: 2634143.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.1 (c) 3 (d) -74 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 4877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 47626.\nAnswer: 142878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3190392420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**6\/120 + 2*w**5\/15 + 7*w**4\/24 - w**3\/6 + 5*w**2. Let j be f(-7). Sort -5, 5, j in decreasing order.\nAnswer: 5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 5:17 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85655 and 1140369.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*3*5*(1 + sqrt(1008) + sqrt(1008) + -3).\nAnswer: -155 + 1800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233212 + 3?\nAnswer: -233203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306, -173, 186, 885, 2038?\nAnswer: 3759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 642 and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*(-229668)\/(-16))\/(81\/108) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 divided by -120?\nAnswer: -61\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/3335 and -91\/184.\nAnswer: 26680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1767 + -1777.016. Let c = 0.016 + i. Let h = c - -9.9999991. What is h rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1400*y - 7599. What is h(4)?\nAnswer: -1999","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**3 - 3*y**3 + y - 11*y + 14 + 12*y**2 - 17*y. Let m be b(-14). Suppose 4*j + 4*o + 8 - 28 = m, -o = -j + 11. Solve 0 = j*h - 4*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 435 and 696.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 68013642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73*o**4 + 324*o**3 + 524*o**2 - 234 wrt o?\nAnswer: -1752*o + 1944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13178956 times -0.37\nAnswer: -4876213.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -4*s + 22, -2*s + 12 = 374*c - 377*c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/50 (b) 27 (c) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - -15 - (0 - 73)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l - 3 = 0. Is 838\/3*(9\/(-6) + l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12895 = 5*s + 5*v, -9*v + 14*v = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 69 + 73 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8785631mm to kilometers.\nAnswer: 0.0000008785631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**6\/4 - 301*v**5\/10 - 10193*v**4\/8 - 40161*v**3\/2 - 32670*v**2 + 71874*v + 277. Solve x(w) = 0 for w.\nAnswer: -33, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/8798159 or 1?\nAnswer: 3\/8798159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1447 = 14*j + 108*j + 261 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 7. Let x be p(7). Let z be ((-3)\/(-12)*x)\/(-2) - -2. Let q be ((-8)\/1)\/z + (-280)\/(-20). Solve -u - q = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Let a = 4 - f. Suppose 0*n = a*n - 1172. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + y - 2)*(-4*y + 0*y + y + 0 + 0 + y + y + 3*y - 5*y - 3*y - 2*y + 3*y + (1 + 1 - 4)*(-3*y + 2*y + 2*y)).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 + 21*m + 11. Let c be g(7). What is the highest common divisor of c and 1920?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 19*m + 13*m)*(-5*m**4 - 2*m**4 + 5*m**4).\nAnswer: -66*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9595 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: Do -9\/2299 and 144\/121 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 26 + 9 = -5*w, 0 = 5*w + 25. Find the second derivative of -o + 6*o + 10*o**c - 6*o**2 wrt o.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7dee + 108e?\nAnswer: -6d60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5\/19 - 1018*q**4\/19 - 9902*q**3\/19 + 38914*q**2\/19 - 4096*q\/19 - 51896\/19 = 0.\nAnswer: -499, -13, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48217385?\nAnswer: 5, 347, 27791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -780 + 780 - 66*r**2 to h*r**2 + p*r + y and give h.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 36 - 90 + 2)*(-3*q**2 + 6*q**2 - 2*q**2) to the form x*q**2 + p*q**3 + d + r*q and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 897203860 to the nearest 100000.\nAnswer: 897200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 5*v**2 - 4*v + 2. Let o = -373 + 375. Calculate t(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 4 = -4*i. Suppose 157 = -i*n + 7*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v + 108 = 0. Let d = v - -22. Sort -18, d, 2 in descending order.\nAnswer: 2, d, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 93*n + 21. Let p be x(-10). Let q = -588 - p. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11139040 divided by 12658?\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 27*f**2. Let m(l) = 735374*l. Calculate m(v(r)).\nAnswer: 19855098*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11518844 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: What is 388 minutes before 8:13 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 1)*(x + 2*x - 5*x)*(-x**2 - 2*x**2 + 0*x**2) + 0*x + 0*x - x**3 - 7*x**3 + 3*x**3 - 5*x**3 to c + k*x**2 + f*x + t*x**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 18. Suppose -p*g + 4 = 2*g. Which is the biggest value? (a) g (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28688044 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -196*y - 91. Let c(t) = 13*t + 6. Let f(q) = -91*c(q) - 6*d(q). Let x(k) = 2*k. Calculate f(x(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -3\/23, 14\/15, -1\/2?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -329 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 14110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 14. Let i(d) = d**3 + 2*d**2 + 2*d - 2. Give i(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5687, -17070, -34153, -56936, -85419, -119602, -159485?\n\"Answer: -2850*h**2 - 2833*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8922 - 8798. Solve 38*v - d = 7*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h**4 + 0*h**4 - h**3 - 1 + h**2 - h - 16*h**4 + 6*h**4 + 3*h**4 to the form g*h**2 + n + o*h + r*h**3 + u*h**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/9)\/(4\/(-18)). Suppose t*g + 5 = -x + 3*x, 3*g = -3*x + 15. Which is greater: 5 or g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-11))\/((-50)\/6*102\/(-85)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 364*c**3 + 496 wrt c?\nAnswer: 1092*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3348 + 31615\nAnswer: 34963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.5041313 to 3 decimal places.\nAnswer: 8.504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5197, -6160, -7763, -10006, -12889, -16412?\nAnswer: -20575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/54 and 127\/4860756.\nAnswer: 4860756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(i**2 - i**2 - 2*i**2).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3707508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 5*w**2 + 5*w + 2. Let d be c(6). Let k(r) = -4*r + 4. Let a be k(d). Suppose -a + 0 = -4*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 25*r + 83. Let w be 4 - 8\/((-40)\/(-125)). Let y be x(w). Which is the nearest to y? (a) -0.2 (b) 3 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 2*x - 20, m + 47 = -191*x + 186*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22045, -22121, -22197, -22273, -22349?\n\"Answer: -76*g - 21969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(22\/176*-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 4, 1, -124 in ascending order.\nAnswer: -124, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-25)\/10*(-6)\/5. Let c be (-1)\/s + (-10)\/(-3). Differentiate -g**2 - 6 + 4 + c*g**2 with respect to g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/117 + 13 + (-1508)\/117?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 1. Calculate the remainder when 7 is divided by 2\/(-6)*y*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.8 + -1.8. Let g = -26.7 + h. Suppose m + 12 = -5*x, 3*x = m - 5 + 1. Which is the nearest to m? (a) 1 (b) 3\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.089748 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1323*c + 1143*c + 5256*c - 209*c + 3594*c to m + o*c and give o.\nAnswer: 11107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, n: 2}. Give prob of picking 2 n and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2 and -4\/5445.\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i. Let b(q) = -6*q + 93. Let d be b(14). Suppose 165*m - d = 162*m. Solve 2*p = 3*h - m + 5, -5*h - 2*p - 14 = i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 1\/3*m**3 - 1\/360*m**6 + 0*m**2 + 1\/4*m**4 + 1\/15*m**5 + 0*m - 3. Let w(y) be the third derivative of o(y). What is w(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, 68, 1 in increasing order.\nAnswer: -85, 1, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -758673, -1517347, -2276021, -3034695, -3793369?\nAnswer: -4552043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1093 - 1088. Calculate the remainder when 5 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/378 + 4 + 1225\/135.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*-1*(-2682)\/(-21). Let y = t - -839. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42\/84 + 942\/4 is divided by 37?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2266 rounded to 1 decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**2 + 17110*x + 14637605 = 0.\nAnswer: -1711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -691*r + 797 = -649*r - 463 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -0.3983 (c) 0.1 (d) 153 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 5*c**2 + 3. Let o be b(-5). Suppose -o*t = 12, 3*k - 3*t = -k + 60. Is 13 a factor of (-1)\/(-2) + 162\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5112146469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*i)*((2*i - 4*i + i)*(3 + 2 - 4) + 2*i - 6*i + 2*i + 4*i + 0*i - 2*i + 2*i + i + 0*i - 2*i + i - 2*i + (-4 + 4 - 3)*(2*i + i + 0*i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -108140 to the nearest one thousand.\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 17\/12 (c) 206\/12961\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 25. Put m, -4, 3, -14 in increasing order.\nAnswer: -14, m, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -112*y + 236. Let o be t(2). Let h be o*(2\/(-8) - (-1)\/(-12)). Let d(g) = 3 + 4 + 4*g - 3. Let c(z) = 3*z + 3. What is h*d(v) + 5*c(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(8)\/sqrt(4)) + sqrt(1200)\/sqrt(6).\nAnswer: -4 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 3*f**4\/8 - f**3\/2 - 2*f**2. Suppose -7 = -0*o + 3*o + 5*g, -8 = 4*g. Let x be c(o). Let n(w) = w**2 - 4*w + 3. Give n(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -9*h + 96. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00208778 rounded to 4 dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49188*w = -46186*w - 135090 for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84234304 and 462.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1. Let o(b) = -7*b + 10. Let d(q) = -11*q + 15. Let m(r) = 5*d(r) - 8*o(r). What is -3*f(t) + m(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-16))\/((-1)\/4). Let n be (y\/36)\/((-9)\/(-24)). Sort -0.4, -5, n in descending order.\nAnswer: n, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*u - 41 = 0, -2*t + 2*u = -t - 37. Find the third derivative of -11*c**4 + 33 + 10*c**2 + c**4 - t wrt c.\nAnswer: -240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274339*s**4 - s**2 + 1005.\nAnswer: -6584136*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -212101 (base 4) in base 5?\nAnswer: -34244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -500, -609, -798, -1073, -1440, -1905, -2474?\n\"Answer: -y**3 - 34*y**2 - 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/9911 and -69\/19822.\nAnswer: 19822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -14\/57 (b) 3 (c) -46 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {v: 1, b: 3, o: 3, x: 1, y: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 0*t**6 + 3\/70*t**7 + 0*t**3 + 0*t**5 + 0*t + 0 + 1\/8*t**4 - 12*t**2. Find the second derivative of x(v) wrt v.\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -2) + 1\/(-3) + 4. Which is greater: o or -7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y + 90. What is the tens digit of s(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*u**3 - 61*u - 5 - 66*u**3 + 5.\nAnswer: -u**3 - 61*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11285 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 5*l - 4. Let x be z(-6). Suppose 4*i + x = -18. Let r = 0 + -1. What is the closest to r in -4, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*y - 30, 0 = 3*i + 82*y - 87*y - 30 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 20*k - 17. Let m be b(-18). Let c = -24 - m. Suppose 0*w + 6 = 3*w, -v + c = 3*w. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*w - 71 = -225, 4*w = 2*o - 74. Suppose -11 - o = -5*v. Solve -j + v = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4640?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2*q = 7, -9430*g + 9436*g - 4*q - 22 = -0*q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 82*m**2 - 155*m - 322. What is the least common multiple of w(80) and 429?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22866779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16238569*k**2 - 2*k - 1785450 wrt k?\nAnswer: 32477138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 4*z + 7. Let d be x(5). Suppose 0*u = -d*u - 7*u. Suppose 9*b - b + 112 = u. Is -15 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-204)\/(-24))\/(2\/8) is divided by (0 - 548\/(-36) - 1) + (-8)\/36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 822, 1032, 1394, 1914, 2598, 3452, 4482?\nAnswer: 5694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/2704 and -71\/54080?\nAnswer: 54080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 7*g - 3. Let q be r(6). Suppose -q*t + 3*x + 15 = 0, 2*x - 5 = -4*t - 15. Let u(j) = 2*j + t - 1 - 6. Calculate u(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -363345730458 - -79.\nAnswer: -363345730379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-143) + (-98)\/(-539)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4060 and 10087840?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1251, 1237, 1199, 1125, 1003, 821, 567, 229?\n\"Answer: -2*u**3 + 1253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1232315 + 11552?\nAnswer: 1244311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*c + 27. Let z = -29 + c. Solve 0 = -0*i - z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64524976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 11:18 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656 divided by 664?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0) + (-33 - -35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**3 - 10*k**2 - 50*k + 250 = 0.\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4935 times -0.5\nAnswer: 2467.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 13) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5371 + 5378. Which is the closest to -4? (a) o (b) 0.5 (c) -0.07 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525 + 15 = -5*m. Let l be (-8)\/12 + (-9)\/(m\/224). Suppose 0 = -l*d + 17*d + 156. Is d a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 434 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 127301933155028\nAnswer: 127301933155027.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 k when three letters picked without replacement from giipkpigk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-952)\/(-34)) - 14\/8.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/250 and -68\/875.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23103743*t**4 + 31928*t**2 - 19?\nAnswer: 554489832*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/15)*u)\/u**(-4\/9))\/(u\/(u**(1\/2)\/u)*u**(1\/6)) assuming u is positive.\nAnswer: u**(-7\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*g - 44*g - 3*g**2)*(1 - 2*g + 3*g + 5*g).\nAnswer: -18*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 not equal to 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010 + 100?\nAnswer: -10001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 - 2*y + 5 - 7 + 5 - 2*y**2 + y to the form f*y + a + k*y**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2224 + -26?\nAnswer: -2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -447431 > 0.011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*r + 38*r = -2*j + 10, 0 = -j + r + 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*q**4 - 402705*q**3 + 4903086*q**2 wrt q.\nAnswer: -168*q - 2416230","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-765)\/9860)\/(((-17)\/(9520\/(-252)))\/((-24)\/10))?\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*r**3 + 477*r**3 - 245*r**3.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 277\/3 + -91. Which is the nearest to 0.1? (a) 2\/5 (b) z (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262 + 370 = c + 4*t + 42 + 45, -2*c = -3*t + 35 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1263 - v + 1267 - 3949 + 1419.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 - (-238)\/84?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - (0 + -4))\/1. Solve z = 5*h - 0 - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104.3 + 100. Which is the third smallest value? (a) 3\/2 (b) v (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 5826.1866638.\nAnswer: 5828.1866638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**2 - 1\/3*v**4 + 0*v**3 + 43\/10*v**5 + 7*v - 10. Find the third derivative of b(n) wrt n.\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 m when four letters picked without replacement from {m: 4, g: 1, x: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -4 (c) -79 (d) -1\/203 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -4 + 250\/238. Let l = c - 11579\/714. Let p = -5829\/2 - -26282\/9. What is the common denominator of l and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 37956.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 168295 or 168306?\nAnswer: 168295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 15*r - 9*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**7\/840 + z**6\/72 + z**5\/15 - z**4\/24 + 2*z**3 + 7. Let a(i) be the third derivative of g(i). What is a(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 20*i = -55, -3*n - 5*i = -8*n + 4*n - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 15*y**2 + 301*y + 23. Let l be j(-20). Suppose -l*q + 23 = -2*c, 2*q + 2*c + 32 = 44. Solve -6*s + 4 = -q*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27899.53 years in decades?\nAnswer: 2789.953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - l. Let z(n) = -4*n - 6. Let x(u) = 5 - 7*u - 10 - 6. Let s(r) = -6*x(r) + 11*z(r). What is s(q(h))?\nAnswer: 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 + 114*v - 13425. Give p(-88).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 15*d + 42. Calculate the remainder when 136 is divided by h(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**4 - 460*b**3 - 23560*b**2 + 460*b + 23562 = 0.\nAnswer: -153, -77, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4431+-57.26732\nAnswer: 4373.73268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -344772036 divided by -195449?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**4 - 3*p**3 - 3*p**2 - 4*p. Let d(r) = -3*r**4 + 4*r**3 + 4*r**2 + 5*r. Let o(s) = 3*d(s) + 4*j(s). What is the second derivative of o(u) wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -5*k - 19, -50*k = 5*m - 54*k - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(1\/6)))\/(t*t**(-9)))**(-6\/5) assuming t is positive.\nAnswer: t**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02606588588 rounded to 3 dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1415 - 2835 + 3*k**2 - 78*k**3 + 1421 - k in the form f*k**3 + o*k**2 + v*k + t and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5819982 and 308?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 469412.5g to tonnes.\nAnswer: 0.4694125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-117*(-87)\/(-2349))\/((-2)\/(-6))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28220 divided by -1411.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*l + 4*l**2 - 6 + 76*l.\nAnswer: 4*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -73, 22, 141, 296, 499, 762, 1097, 1516?\n\"Answer: 2*w**3 + 81*w - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2127104 (base 11) to base 13.\nAnswer: a10842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.31 - 1.08. Let v = 0.0025 + -0.2025. Does r = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from {y: 3, t: 9}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6231, -2\/9, 18, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9, -6, -31, -72, -135, -226?\n\"Answer: -y**3 + y**2 - 11*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 89695.8 centimeters?\nAnswer: 896.958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 15*l + 349. Let y be o(-23). Suppose -3*p = 3*i + p + 10, 0 = -5*i + 3*p + 22. Solve n = i*k - y, 3*n - k = -3 + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 112?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3. Let k(x) = -x**3 - 12. Calculate -2*k(g) - 9*t(g).\nAnswer: 2*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 211\/22?\nAnswer: 211\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 1:32 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37522.\nAnswer: 2, 73, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p = -39*p + 297. Let f = p + -213. Let j = -119 - f. Sort j, 7, 4.\nAnswer: j, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011010001100000101100 (base 2) to base 13\nAnswer: -107b92a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 156754960 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*h - 0*h. Suppose -h - 5 = -g. Solve -g = 5*j - 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 430*n**2 - n + 1. Let q be u(1). Suppose -3*m = -3*j - 0*j + 240, 0 = 5*j + 5*m - q. Calculate the remainder when j is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**2 - 2316*u + 11480 = 0.\nAnswer: 5, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -169845754 divided by -2?\nAnswer: 84922877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7*r = -4. Suppose 5*j = -x + 5, -3 = -5*j + 2*x + 2. Let c be 0 + (2 - 1) + j. Which is smaller: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 215*m - 7427. Give u(172).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -116490 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316 divided by -79.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3042 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**6\/40 + 5*w**5\/24 - 7*w**4\/16 - 272*w**2. Factor v(l).\nAnswer: -l*(l - 3)*(6*l - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 7 - (0 + -6)) + -7 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2261?\nAnswer: 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12127097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 55, 1\/29, 11\/4, 8?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from ifvvivvff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 8*f**2 - 14*f - 10. Let o be z(-7). Sort 5, o, -4, -3.\nAnswer: -4, -3, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 244223.\nAnswer: -48844.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 0 - -1) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**3 - 55*b**2 + 155*b - 105 = 0. What is b?\nAnswer: 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 7. Let h be m(7). Suppose -4*p = 4*k - 16, h = -3*k + p - 1 - 3. Suppose k - 6 = -2*o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -1, -143\/9, -5, 1\/4, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 28. What is the tens digit of ((-18)\/(-15))\/(l\/70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**8*o**(1\/16)\/o)**(-9\/7)\/((o**(-1))**(6\/5)*o**(-3\/10)\/(o\/o**1)) assuming o is positive.\nAnswer: o**(1311\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -13*k + 43513. Is d(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 803, 3091, 6695, 11471, 17275, 23963, 31391, 39415?\nAnswer: 47891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25662 and 15197?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-3\/5))\/(i\/(i**(7\/6)\/i*i*i)) assuming i is positive.\nAnswer: i**(47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18835 divided by 3767\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 11 + -2 - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218148619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 121201?\nAnswer: 121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 6) + -34 - (-9 - -11)*-1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-3 - 5\/((-315)\/183)). Sort 2\/9, 3, k in decreasing order.\nAnswer: 3, k, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526252 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than -113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 5, w: 3, b: 3, l: 3}. What is prob of picking 2 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 18.6. Let h = y + -1.2. Let n = 1.3 + h. What is n rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*i**2 - 5*i - 1 + 35*i**2 + 5*i to g*i + f + d*i**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 80307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8\/11)*b*b**(-8)*(((b*b*b**(1\/4))\/b*b)\/b)**(-46))**(-1\/31) assuming b is positive.\nAnswer: b**(1435\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 12, v: 1, e: 1}. What is prob of picking 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -11*l + 52. Let v be o(-27). Let x = -343 + v. Let j = -2 - -5. Calculate the highest common divisor of j and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/45))**(-4\/3)*o**19*o**(-6\/19) assuming o is positive.\nAnswer: o**(44353\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 527524 + -2?\nAnswer: 527522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 6*i - 1. Let a be r(0). Let c(w) = 424*w**2 - 2*w - 1. Let z be c(a). List the prime factors of z\/(-10)*(-54)\/15.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.31, 5, 0.1, -3\/2, 1\/4, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*p**3 - 16*p**2 - 5*p**2 + 28*p**2 wrt p?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = 16. Let h(n) = n**2 - 3*n + 1. Let c be h(4). Suppose -2*q + z - 2 = c*z, -4*z + 3 = 3*q. What is the remainder when w is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36814, -146914, -330308, -587002, -917002, -1320314, -1796944?\n\"Answer: -p**3 - 36641*p**2 - 170*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -23*n + 850. Let r be p(37). Which is bigger: r or -11\/31?\nAnswer: -11\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -374, -747, -1120, -1493?\n\"Answer: -373*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - w**3 + 0*w**2 - 3*w**3)*((3*w - 4*w + 2*w)*(4*w - 2*w - w) - 3*w - 2*w**2 + 3*w).\nAnswer: 4*w**5 + 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3888, -20099, -47116, -84939, -133568, -193003, -263244?\nAnswer: -344291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2079*f**2*v**3 + 12*f**2*v**2 + f*v**3 + 12*f - 67*v**3 wrt f?\nAnswer: 4158*v**3 + 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 921 + 195. Suppose -i - 24 = -3*o. Calculate the greatest common divisor of o and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -44, -50, -56, -62, -68?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36912 is divided by 1754.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -424 + 426. Let y(c) = 3903 + c**x - 3903. Let j(p) = -3*p. What is y(j(q))?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/22 - (2704\/(-792))\/13.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71788 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2418263682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1265618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*u - 10418 + 2259 + 521 = 5794 for u.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 555255053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2737 by 3281.\nAnswer: 161\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*h + 5*l - 15, 0 = -2*h + 2*l + 12. What is the second derivative of -7*m + h*m**4 + 6*m + 7*m wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 3*g + 7, 1199*g + 9 = 4*k + 1204*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(27) + -3 + -2*sqrt(27) + 3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*n - 55, -5*n - o + 4*o = -81. Let k = n + 5. Let i = 29 - k. Calculate the highest common factor of i and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38654051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3 - 23140*x**2 - 278024*x + 648592 = 0.\nAnswer: -14, 2, 11582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-323)\/(-5 - (-390)\/80)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 30, -121.\nAnswer: -121, 5, 7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/2 - (373 + 3). Let j = -200 - b. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 11) to base 4\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 2*j**2 + j. Let l be m(1). Suppose 2 + 8 = -2*c + 2*k, 4*k - 30 = 5*c. Let i be (5\/(-2))\/(c\/(-20)). Put i, 0, l in ascending order.\nAnswer: i, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.9 + -7. Let f be 15 - 20 - -9 - (-36)\/(-10). Do f and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-90) + 4\/(-60)*6\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12056 is divided by 148.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(-32\/5))**(-36))**(-39))**(-42) assuming u is positive.\nAnswer: u**(1297296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 6:37 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2614221*j**2 - 11263155*j wrt j?\nAnswer: 5228442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 14123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26832 and 204938344.\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**2 - a + a)*(-68*a**2 - 30*a**2 - 5*a**2) + 3*a**4 - 2*a**4 + a**4 to the form n + k*a**3 + q*a**4 + o*a + d*a**2 and give q.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 11. Suppose -4*i + 124 = 2*v + s*v, -4*i + 3*v = -131. Let j = i + 713. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 3*w - 3*i = 201 - 15, 4*i - 301 = 9*w - 4*w for w.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.055 - 0.045. What is the nearest to -1 in -2\/7, q, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35412 by 26.\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -10.5. Which is the nearest to -1\/5? (a) -0.5 (b) q (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-5 - -4) + 3 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 960\/(-200)*(-43)\/(1806\/(-140)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3.9, -6\/527, -92?\nAnswer: -6\/527","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n**3 - 4*n**2 - 7*n + 12. What is w(-4)?\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-84)*128\/(-112)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/70 and -31\/56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 89.399 and 131523.232?\nAnswer: 131433.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4592 - 4798. Which is the closest to -1\/4? (a) 2 (b) g (c) -3\/8 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 3:41 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7011*f**2 + 26194*f**2 + 32507*f**2 - 20408*f**2.\nAnswer: 45304*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12840759623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 8*n**2 - 277*n + 1059. Let t be q(4). Solve -94 - 26 = t*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 7*q**2 + 8*q + 3. Let f be j(8). Suppose -4 = -f*v + 8. Solve -v*o + 9 = -3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/145104 and -37\/2403285.\nAnswer: 38452560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12147871, -12147878, -12147887, -12147898, -12147911, -12147926?\nAnswer: -12147943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0.2, -4, -3\/4.\nAnswer: -4, -3\/4, 0.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 10 = 41. Suppose 0 = 2*u + 5*n - 285, 2*u = -f*u + 5*n + 800. Do u and 155 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -98, -226, -354, -482, -610, -738?\n\"Answer: -128*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 362210940 a multiple of 4563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 132bc (base 13) in base 10?\nAnswer: 35645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 87*m + 2. Let d be h(2). Calculate the highest common factor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + v**2 - v + 4. Let y be t(0). Suppose -4*o + 2*o = -2*j - 18, -3*o - y*j + 6 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 15*i + 1. Let t be j(-15). Let o(w) = -5*w + 0*w - t + 6*w. Determine o(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*q = 16, 3*h + q + q - 12 = 0. Suppose 0*o + h*o - 16 = 0. Calculate the remainder when o is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 47 = 2. Suppose -b*x + 2*x = 42. Let j(c) = c**3 + 5*c**2 - 4*c + 6. Give j(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9 = 1. Let o(i) = 9*i**2 + i - 1. Is o(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -25*r**2 - 3*r - 28. Let v(y) = -9*y**2 - 2*y - 9. Let d(q) = 11*v(q) - 4*z(q). What is d(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.95 - -0.05. Let f = -0.7 - 0.3. What is the third smallest value in f, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -39*j**2 + 4*j - 4. Let s(f) = -38*f**2 + 5*f - 5. Let u = 8780 - 8785. Determine u*z(t) + 4*s(t).\nAnswer: 43*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 28608 divided by -6\nAnswer: -4768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-2150)*35\/14. Let k(x) be the second derivative of -x**3\/6 + 8*x**2 + 5*x + 1. Let m be k(15). Which is bigger: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 6 = 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 39. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeceecevecccewvvvvee. Give prob of sequence evwc.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f*f**(-10)*f))\/f)\/((f**10*f)\/f))**(-1) assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -0.199\nAnswer: 1.791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**3 + 94*n**2 - 42*n + 327. What is i(31)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134027 divided by 1299?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3\/4 + 81*s**2\/2 - 16290*s - 32736 = 0. Calculate s.\nAnswer: -176, -2, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (46\/667 - 4680\/(-261))*6\/4. Factor 24*r**4 + o*r**2 + 486*r - 3\/2*r**5 - 219\/2*r**3 + 324.\nAnswer: -3*(r - 6)**3*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3114.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -19*x**2 + 2. Let m(s) = -6*s**2 + 12*s - 7. Let o(d) = 11*d**2 - 27*d + 16. Let k(q) = 9*m(q) + 4*o(q). Determine 2*j(g) - 5*k(g).\nAnswer: 12*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*w**4 - 1035030*w**3 - 690005*w**2 - 115000*w.\nAnswer: -5*w*(w + 23000)*(3*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/(-33) + (-5211145)\/(-55) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 79882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 128\/18 - (-128)\/144.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43.0018 - 42.03. Let s = i + 26.0272. Let j = s + -27. Round j to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v + 12. Let y(z) = z + 12. Let q(m) = -2*b(m) + 3*y(m). Suppose -3*l + 36 = l + 2*r, l + 4*r = 9. Let f be q(l). Solve 2*p + f = 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 46*u**3 + 800*u**2 - 5*u - 13. Let j(g) = -101*g**3 - 1599*g**2 + 11*g + 28. Determine 5*j(m) + 11*n(m).\nAnswer: m**3 + 805*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkokogiiogsgsy. What is prob of picking 2 i and 1 g?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 1\/30*i**5 - 10\/3*i**4 - 19*i - i**2 + 400\/3*i**3 + 0. Let r(z) = 0. What is z?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.75 + -23.95. Sort 0, 7, 0.2, 11, u in decreasing order.\nAnswer: 11, 7, 0.2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**2\/3 - 15*p - 560\/3 = 0. What is p?\nAnswer: -7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 217 + 0 + 4 - -4 - -3. Suppose -b = -u + 894. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 10*l + 6. Give t(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 6:27 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-464)\/(-1218))\/((-64)\/72)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrshqqnxnxxs. Give prob of sequence rsxx.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (163\/2)\/(3\/6). Let j = 655\/4 - s. Which is the smallest value? (a) j (b) 1\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*j**3*s*y + c**2*j**3*y - c**2*j**2*s*y + c**2*j**2*s + 6*c**2*j**2*y + 510*c**2*j*s**2*y + 14*j**3*s**2*y wrt s?\nAnswer: 1020*c**2*j*y + 28*j**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1050*i + 586*i + 30160 = 0 for i.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 274.8924?\nAnswer: 274.4924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19954*w**2 - 5807*w**2 + 70405*w**2 + 16194*w**2 - 2816*w**2.\nAnswer: 97930*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 0 + 3\/5*q**6 - 19\/5*q**5 - 8*q**2 - 26*q + 38\/3*q**3 - 1\/6*q**4. Determine z, given that s(z) = 0.\nAnswer: -1, 2\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1112.0002354 - 1112. Round f to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4531 - -9659. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/2*(-85)\/1615*-342.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 11*m - 15. Suppose 0 = -t + 4*o + 5, -3*t = 6*o - 4*o + 41. Let f be d(t). Let j = -96 - f. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7047*h + 655376. What is j(-93)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*i + 1 + (0 + 2 - 3)*(i + 2*i - 5*i) + 3*i - 2*i + i)*(15 - 8 + 14)*(-1 - 1 + 1).\nAnswer: -126*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 637210471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925102?\nAnswer: 2, 31, 43, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8820 and 2646.\nAnswer: 26460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*s + 0*s - 5*s)*(2 + 1 - 1) + 0*s + 3*s - 2*s + 5*s - 2*s - s + 17*s + 7*s - 4 - 2*s)*(0 + 19 + 3).\nAnswer: 462*s - 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 11 + 5. Let j = q + 4. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 - 4 + 4)*(-5 + 5 + o + o**2) + 0*o**4 + 4*o**4 + 0*o**4.\nAnswer: o**4 - 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*x - 7*x - 106 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*p - 8*p + 191*p + 13*p as l + q*p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -41 + 47\/4*s**4 + 0*s**3 + 0*s**2 - 3*s. Differentiate z(l) wrt l.\nAnswer: 141*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3193829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -9*q + 29. Let p be s(5). Let l be (-6)\/p - 112\/128. Suppose -2*x - x - 80 = h, 3*h - 60 = 3*x. Is l smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 26. Suppose -m - 1 = -3*w, 4*w + n*m - 14 = 2*m. Let c(d) = -3*d - 5 + 5. Let r(v) = -v + 1. What is w*r(b) - c(b)?\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*d - 50, -5*a + a = d - 40. Let n = 26 - a. What is the remainder when 4\/(-20) - (-604)\/20 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4511770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -139, -2\/3.\nAnswer: -139, -4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n. Let x(t) be the third derivative of -t**5\/24 - 2*t**3\/3 - t**2. Let p(f) be the first derivative of x(f). What is v(p(m))?\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 261992 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 46. Let f = 10 - l. What is the third smallest value in f, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3075 and 18900?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 n, 1 w, and 1 m when four letters picked without replacement from {n: 2, m: 1, h: 1, w: 6, s: 5}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -15*x**3 + 258*x**2 - 37*x + 98. Determine n(17).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6067206*t**5 - 10*t**2 - t + 214493.\nAnswer: -364032360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 7*l**2 + 4*l + 133. Is 18 a factor of d(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 61, 40, -9, -98, -239, -444, -725?\n\"Answer: -2*w**3 - 2*w**2 - w + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2575 = 348*g - 14755. Calculate the remainder when 1194 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 13*m**2 - 2. Let o(r) = -26*r**2 + 5. Calculate -5*h(w) - 2*o(w).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 76*l**2. Let f(h) = h**2 - 132. Calculate f(t(d)).\nAnswer: 5776*d**4 - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106 - (137 - (15 - -106)).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**3 + 4*d + 3*d**3 + d - 2*d**3 to the form v*d**2 + w*d + f*d**3 + o and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109 + 2*d**2 - 26 + 361 to f + s*d**2 + o*d and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-24))\/(-1)*-10*4. Let w(b) = b + 7. Calculate w(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g**5 + 260*g**4 - 1568*g**3 + 4216*g**2 - 4560*g + 900 = 0.\nAnswer: 1\/4, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 22726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*v = -43*v + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4571771.0000125 - 4571795. Let r = l - -24. What is r rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 65 = 12 + 28, 0*h - 6*o - o - 5*o = -3*h + 237 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-20)\/k)**(-14)*(k**(3\/2)\/k)**13 assuming k is positive.\nAnswer: k**(601\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.679 - 0.321. What is the second smallest value in p, 3\/4, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q\/(q**6*q*q)))*q*q*q\/(q\/(q**(-8\/5)\/q))*q)\/(q**(-7\/3)*q*(q*q*q\/(q\/(q**(1\/14)*q))*q)\/q) assuming q is positive.\nAnswer: q**(-1541\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 671 and 1093669?\nAnswer: 12030359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 71.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*o + 46, -5*i - 4 = -7*i. What is the third derivative of -21 - o - 9*v**3 + 52 - v**2 wrt v?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15990 = -4273*n + 3207*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - x - 5. Suppose y + 5*h + 27 = -0, -4*h - 26 = 3*y. Let j be q(y). Suppose j = 4*t - 3. Solve -2 = 3*s + n, -4*s - t*n = -5*n + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*h + 7*h**2 - 11*h + 49 - 3*h**2 wrt h.\nAnswer: 8*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - x + (-2*x + 0*x + 3*x)*(-1 + 2 + 1) + 2*x + x - x + 63*x + 128*x - 126*x.\nAnswer: 68*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 7 = -2*b - 5, 0 = -3*k - 3*b - 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.44 at most 7\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118 - 112 - 17*q**3 - 6 + 0*q**3.\nAnswer: -17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3266 and 190233?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 + u**2 - 2. Let f(r) = 7 + r**3 + r**2 - 2 - 6. What is f(p) - o(p)?\nAnswer: -2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1686712 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 796192860 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -25\/14, -0.4, 4, 20, 2\/15, -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 77642172 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/(2\/(-8)). Let n(o) = 22*o**2 + 1 - 4*o + 4*o + f*o - 17*o**2. Suppose 0 = 4*b + 6 - 2. Determine n(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 35634.\nAnswer: -1\/11878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -190 + 412. Suppose 3*c = 4*v - 296, -3*v - 4*c + x = -2*c. What are the prime factors of v?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {m: 4, i: 7}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1804 divided by -41?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 + 12*t + 12. Let v(k) = -k + 4. Let z = 0 - 6. Let a(l) = l - 5. Suppose 2*u = 9 - 19. Let y(p) = u*a(p) + z*v(p). Give d(w) - 12*y(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 158.\nAnswer: -1738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 + (-6)\/3)\/(1\/12). Which is the third smallest value? (a) 3 (b) 0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1501946 and 1436644?\nAnswer: 33042812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 9:42 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -281309\/33592 - 3\/4199. Suppose n = -r + 18 - 2, 0 = r + 5*n - 24. Find the common denominator of (-1 + 1*56)\/r and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 8*z = -676. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (240 - 240 + 34*b**2)*(-b + 0*b - 2*b + (-3 - b + 3)*(0 + 0 + 2)) to s*b**2 + p*b + w*b**3 + h and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 107*q. Let a(j) = j + 15. Give g(a(w)).\nAnswer: 107*w + 1605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -8*y - 15*y. Let g be 6 - (0 - y - (0 + -2)). Solve 5*j - 3*c = -5, 2*j + g = 2*c - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 16 = 26. Let v be (-1)\/(-4) - (-22)\/8. Put v, 1, h, -1 in decreasing order.\nAnswer: v, 1, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k**2 + 1. Calculate the lowest common multiple of d(1) and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 7*v**2 - 8*v - 10. Give o(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umru when four letters picked without replacement from {u: 2, r: 2, m: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.82, -2, 0, -390 in increasing order.\nAnswer: -390, -2, -0.82, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 4*r**2 - 13*r - 3. Let p be h(-6). Let f(j) be the first derivative of 3 + 2*j + 1\/4*j**4 - j**3 - p*j**2. Give f(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8497?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 11827530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -0.17 (b) -0.3 (c) -5 (d) -9\/46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 354, 712, 1078, 1452, 1834, 2224, 2622?\nAnswer: 3028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*i**4 - 173*i + 11 + 173*i wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1882*j**2\/3 - 265382*j\/3 - 940.\nAnswer: -2*(j + 141)*(941*j + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*t + 1963, -3*d + 4*t - 6*t + 1973 = 0. Let -378*f**5 - d*f**4 + 160*f - 404*f**4 + 63*f**5 - 160*f**2 - 1070*f**3 = 0. What is f?\nAnswer: -4\/3, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 286 and 41474?\nAnswer: 5930782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 8 = -4*g. Suppose s + 2*z = 16, -4*s + 59 = -5*z + 8. Suppose g = -2*b + s. Let d(x) = -x**3 + 4*x**2 + 5*x + 4. Give d(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*n - 765. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + x - 39 = 0, -5*l - 3*x = x - 102. Let q(o) = -l*o - 18*o + 6*o**2 + 35*o. Calculate q(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -203069197, -203069196, -203069195, -203069194, -203069193, -203069192?\n\"Answer: w - 203069198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4\/11, -5, 3\/148 in decreasing order.\nAnswer: 3, 3\/148, -4\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3522*l**2 - 31*l + 15. Let p(c) = 1760*c**2 - 17*c + 8. What is -6*k(x) + 11*p(x)?\nAnswer: -1772*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/30 and 97\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 3*g**2 + 0*g**2)*(2*g**3 + 4*g - 2*g + 0*g)*(187 - 82 - 70).\nAnswer: -140*g**5 - 140*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 9 - 1. Let b = 2781 + -4777. Is ((-4)\/(-4))\/(o\/b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {u: 2, z: 8, m: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1425)\/(-20) - 3 - (-3)\/(-12). Let u = 88 - c. Let d = 16 - u. Let h(f) = 2*f - 1. Determine h(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 28*k + 5*k)*((2 - 2 - 1)*(2*k - 5*k + k) + (-5 + k + 5)*(4 + 3 - 5)) + 4*k**2 - 4*k**2 - 2*k**2.\nAnswer: 118*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 = 9*n - 737. What is the greatest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/5368 and 39\/932936.\nAnswer: 626000056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (10 - (30 - -1) - (-2 - 0) - 11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 10*y**2 - 1198*y - 243. Let a be j(120). Let q = -4 + 6. Put a, q, -5 in increasing order.\nAnswer: -5, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 52?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145625154?\nAnswer: 2, 3, 24270859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*u - 29*u - 7*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t + 37. Let r be d(5). Let h be (r\/3)\/1*(-99)\/22. Sort 3, h, -21 in decreasing order.\nAnswer: 3, h, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 61*a**2 + 43*a - 1084. Is r(42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*g**3*o**2 + 8*g**3*o - 222*g**3 + g**2*o wrt o.\nAnswer: 18*g**3*o + 8*g**3 + g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2090 and 418?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + 15*d**3 + 0*d**3 + 11*d**3 - 3*d to g*d**2 + s*d + t + r*d**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -13. Let t(b) = 2. Let l(g) = -g - 1 + 2 - 7 - 4. Suppose 2*q + 2*w = w + 5, 2 = 3*q - 4*w. Calculate j*t(f) + q*l(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 11:34 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.402 + 1020.\nAnswer: 1019.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 z when three letters picked without replacement from {z: 4, b: 7, d: 2}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence siss when four letters picked without replacement from siixxssiiixss.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.035 times -4\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = -4*u. Suppose u*k = -k + 24. Let a = k - 4. Solve 0 = -a*z + 2 + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggv when three letters picked without replacement from gnvsng?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = b - j - 0*j, -4*b + 24 = 5*j. Let d = 3.97 + 0.03. What is the closest to b in -4, -1\/3, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 + m. Let x be t(2). Let u = x + 11. Solve -3*h - 2*h = -i - u, 0 = -5*i + 2*h - 30 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 9*s**2 - 12*s - 12. Let h be n(-10). Let c(m) = 2*m**2 - 15*m - 5. Let x be c(h). Solve -x*o - 3*q + 12 = 2*q, 4*o = 5*q + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 5. Suppose -18 = -f*d + d + 4*x, -x - 5 = 0. Find the common denominator of 90\/(-4)*d\/(-24) and 85\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-24) - (-3)\/4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 7. Let o = 6 + -4. Let x be 9*(o\/2 - 0). Solve c = 2*p + p - x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2\/7 - 2812*a\/7 = 0.\nAnswer: -1406, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4 = 3*k - 5, 4*k - 2*u = 42. Let i be 11\/4 - ((-186)\/(-24) - k). Which is the nearest to 1? (a) 4 (b) 12 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-63)\/(-12))\/((-2)\/8)*29382\/(-581). What is the greatest common divisor of c and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-6)*2)\/(12\/1152). List the prime factors of (-48)\/o*(-1402)\/(-1).\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**2 + 16907*h - 6762 = 0.\nAnswer: 2\/5, 3381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 51201334*c.\nAnswer: -2*c*(c + 25600667)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-13))\/1*-3*(-7)\/((-462)\/(-24)).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 35 = -9*q + 6*q, 3*v - 4*q = 10. Suppose -33*a - v*a = -516. Solve -a*z = -17*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -61554805?\nAnswer: -61554815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5352814289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-5) + 3\/(-5). Let t be ((-3 - -2) + f)\/(-2). Solve t = -5*y - 3*g - 20, 4*g = 5*y - 4 - 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-34)\/(-1*6\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118602 is divided by 750.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, 2\/9, -16, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n - 1701*n**3 - 12*n + 26*n + 1703*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c**2 + 3*c**2 + 3*c**2)*(6*c + 1400*c**2 - 7 - 1412*c**2 + 10*c) in the form d*c**3 + o*c**2 + b + j*c**4 + t*c and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 315482 or 315485?\nAnswer: 315485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -6*r**3 + 148*r**2\/3 - 248*r\/3 + 16 = 0.\nAnswer: 2\/9, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(3\/1 + -2). Suppose j - 8 = 3*j. Is p at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 - 3*y**2 + y**2)*(9*y**2 + 8*y**2 - 6*y**2)*(-7 + 3 + 1).\nAnswer: 231*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 123*p - 702. What is f(5)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 27975*a + 2238057. Determine g(-80).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -5. Let b = -5226.33 - -5226.63. Sort -0.5, b, u, 0.12 in descending order.\nAnswer: b, 0.12, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*v**3 + 0 + 2\/5*v**2 - 3\/5*v.\nAnswer: v*(v - 1)*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -1)\/2 - 0. Let t be 6*(372\/(-92) - -4). Which is bigger: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-12) - 7\/(-3). Suppose 5*m - t*c - 22 = 0, 3*m = 4*m - 3*c - 7. Suppose -4\/3*f + 0 + 14\/3*f**m - 14\/3*f**2 + 4\/3*f**3 = 0. What is f?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r**3 + r**2 + r. Let u be m(-1). Let l = u + -2. Let p = -12 + 47. What is the greatest common factor of p and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2130 and 4311110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -495*w - 3906. What is y(-8)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 23. Suppose 44*v - 3*r + 79 = 39*v, -r - 25 = 2*v. Give u(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4565*u**2 + 19*u - 2284*u**2 - 2280*u**2 - 3*u**4 as g*u**2 + p*u + c + z*u**3 + a*u**4 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1\/2. Let g be 1 - (2 + (3 - 7)) - 4. Which is greater: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -7*f + 11. Let j = -7 + f. Let k be 2180005 - j - (4 + -1). Round k to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 2, 34, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -217 + 216. Sort z, -53, -3 in increasing order.\nAnswer: -53, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 0. What is the second derivative of 6*x**4 + d*x + 6*x**3 - 6*x**3 wrt x?\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.409 - 1.4. Let o = s + 1.591. Let w = o + -1.60000004. What is w rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13437, -2, 195, -5.\nAnswer: -13437, -5, -2, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91024941.\nAnswer: 3, 7, 73, 59377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 120 and 15.6.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4)\/s)**23*(s**1)**(6\/19) assuming s is positive.\nAnswer: s**(-2161\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -70519 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26924 or 26925?\nAnswer: 26925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbf when three letters picked without replacement from jdbbfxbpfffpjb.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3 - 80*o**2 - 184*o + 672 = 0. What is o?\nAnswer: -4, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(5\/2) + -2. Suppose -c - 2*l - 11 = x, 0*l = 2*c + l + 7. Let t be (-2 + c)\/(-1) + -2. Solve -5*v + t = 4*g - 5, 10 = 3*v + 4*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2513196?\nAnswer: 2, 3, 7, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -5*g, -8*y - 18 = -3*g - 11*y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*u**3*y**2 + u**3*y + u**3 - 581*u**2*y**2 - 2*y**2 - 59*y + 1 wrt y.\nAnswer: -42*u**3 - 1162*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**5 - 2*k**3 - k. Let q(x) = -50*x**6 + 6*x**5 + 36*x**3 - 1917*x**2 + 3*x. Let h(y) = -3*l(y) - q(y). Find the third derivative of h(a) wrt a.\nAnswer: 6000*a**3 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 7*c**2 + 4*c + 25. What is the tens digit of f(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -32. Let y be 4*(-2 + t) - 3. Suppose -6*z + 23 = y. Solve 4*w = -v - 3*v + 20, -v + z*w - 11 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/58, 0.1, -2\/127, 5, -20, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 5*q - 8. Let u = 96 - q. Does 32 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 6*c**2 - 9*c - 4. Let a(h) = -h**3 + 4*h**2 - 3*h + 5. Let v be a(4). What is the units digit of s(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 63*j**2 + 64*j + 118. Determine t(-62).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:01 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 20475, 2, -1, -0.2, 0.2, -1\/10, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*u**5 - 19699*u**3 - 5*u**2 + 178790*u.\nAnswer: 4140*u**2 - 118194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (12\/15)\/(49\/35)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*w**3 + 10302*w - 405\/4*w**2 - 10201.\nAnswer: (w - 202)**2*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9720124.8 to the nearest ten thousand.\nAnswer: 9720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1875 and 47300250?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -4 (c) -19 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 46*h - 1448. Is q(41) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 520 - 478. Sort 0, -2, x in decreasing order.\nAnswer: x, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (-58)\/(-18) + (-301)\/(-63). Is 11 a factor of ((-6)\/o - -1) + 11172\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1186, 7317, 13448, 19579, 25710, 31841?\nAnswer: 37972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44429633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2832*q - 2827*q + 2*q**2 - 3*q**2 + 5681*q.\nAnswer: -q**2 + 22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140333148?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 7, -18, -4 in decreasing order.\nAnswer: 7, 4, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2350, -9434, -21248, -37798, -59090, -85130, -115924, -151478?\nAnswer: -191798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.07 - -7.1. Which is the fourth smallest value? (a) -1 (b) -6\/5 (c) 1\/8 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -41 + (-25608)\/(-679).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16620554381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**4\/24 + 17*y**3\/6 + 4*y**2. What is the units digit of j(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1 + 8*g**2 - 45*g**3 + 44*g**3 + 1 - 5 + 3*g. Let n be v(4). Let r = 137 - n. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 - 43819755*v**2 + 43819755*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixty-three eighths of a kilogram?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 13. Let k be q(19). Suppose -k*u - 121 = -637. What are the prime factors of u?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3129, 0, -3, -16066 in decreasing order.\nAnswer: 3129, 0, -3, -16066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55 and -0.04.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 14*f + 36 = 81*f, -25*k - 60 = -20*k + 3*f for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 158, 1 in decreasing order.\nAnswer: 158, 1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/11 + -487\/22. Suppose 7*r + 2975 = 12*r. Calculate the common denominator of 4 + r\/30 + -4 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 14, m: 5}. Give prob of picking 1 m and 2 f.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 131379 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 4*t + 13*t + 3.\nAnswer: 14*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 15*w**2 + 21*w - 9. Is k(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -32*n - 496. Let k be t(-16). Which is smaller: 9 or k?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201541 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7, 18, 35, 58, 87, 122, 163?\n\"Answer: 3*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a**2. Let m(i) = -i. Give -m(x) + s(x).\nAnswer: -8*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**2\/3 + 11071060*h\/3 = 0.\nAnswer: -5535530, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*d - 4*d - 578, -1165 = -2*d - n. What are the prime factors of d?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13840448*c**3 + 115023*c**2 + 7 wrt c.\nAnswer: 83042688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**3\/3 - p**2\/2 - 37*p - 1. Suppose 5*q + 5*q = -10. Determine j(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 18 = -11*i - 27 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 7:45 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*sqrt(1300) + 4)*5 - (-5 + (sqrt(1300) + -2*(sqrt(1300) + 0) + sqrt(1300) + 6*1*sqrt(1300))**2).\nAnswer: -46785 - 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 485089 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -93 in 2\/17, -4, -2\/17, 0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 20*g - 16. Let i(r) = -21*r + 17. Let o(w) = 4*i(w) + 5*p(w). What is the first derivative of o(b) wrt b?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5106\/5 (b) -4\/5 (c) -4\/7 (d) -1\/3 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19904, -39726, -59462, -79112, -98676, -118154, -137546?\nAnswer: -156852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 + 1. Let x be c(1). Differentiate 7*b + 5 - 32 + x with respect to b.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i - 62 = 5*j, -i - 136*j + 140*j = 2*i + 2*i + 38 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681121.\nAnswer: 7, 97303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*l + 547 = -1005, 3*v - 4*l = 2293. Suppose v = 4*p - 245. Suppose 2*k = 4*k - p. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 170.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9647 - 0.0353. Let d = -0.5 + -27.5. Which is the closest to 0? (a) -1\/6 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4 + 2*b - 1 - b**2 + b. Let v be t(6). Let w = -9 - v. Calculate the highest common factor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 8. Let x be h(8). Suppose 3*v - 6*v + 6 = x. Solve 4 = v*k - k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3\/2 + 2944*y**2 + 3482262*y + 944429544 = 0. Calculate y.\nAnswer: -522, 6932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8998157?\nAnswer: 7, 1285451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 297, 596, 995, 1494?\nAnswer: 2093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3149*w**3 + 3149*w**3 + 9*w**6 + 3*w**2 wrt w?\nAnswer: 1080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 578*i**2 - 578748*i + 144874242.\nAnswer: 2*(17*i - 8511)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -1587*p**5\/4 + 20401*p**4\/2 - 74438*p**3 - 99372*p**2 + 11737*p. Factor d(v).\nAnswer: -3*(5*v + 2)*(23*v - 182)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53859, 12, -1, -4 in increasing order.\nAnswer: -53859, -4, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u - 1. Let m be k(-1). Let j(b) = -b**3 + 5*b**2 + 6*b - 4. Give j(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269114.\nAnswer: 2, 239, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from couu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1350*j + 6061 = -49289 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 45*p**2 + 7 + p - 1 + 8 + 1 in the form i*p**2 + g + v*p and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t - 3*i - 220 = 0, -3*i = 2*t - 88. Suppose -5*c + 206 = -t. Suppose 123 = 5*h + 23. Calculate the highest common factor of c and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let h(x) = -5*x**2 + 6*x + 13*x**2 - 3*x**2 - 6*x**2. Determine h(r(q)).\nAnswer: -q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**3\/6 + 4*a. Let p = 28 + -10. Let n(x) = 4*x - p*x + 4*x. Calculate z(n(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1186 + -1186.2248. What is b rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1478 is divided by 210.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -126*c**3*d**4 + 14935*c**3 + 15*d**4 wrt d.\nAnswer: -504*c**3*d**3 + 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*q + 11*q - 17*q + (-1 + 1 + 2)*(q - 3*q + 0*q) - 6 + 2*q + 6 - 1 - q + 2*q + 4)*(4*q + q - 4*q).\nAnswer: -57*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44 - 14*o + 27 + 11)*(-o + 2*o + 3*o**2 - o**2 - 2*o**3) in the form t*o**2 + g*o**4 + j*o + v*o**3 + k and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0 (c) -51.2 (d) 1\/11 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 481 + -2?\nAnswer: 47c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.14+3745240484791\nAnswer: 3745240484790.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/63)\/(-4 - (185\/9)\/(-5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 119196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13454.515 and -0.072.\nAnswer: 968.72508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3\/8))**(-38)*n\/n**(11\/3)*n*n*n*n**(-6\/11)\/n*n assuming n is positive.\nAnswer: n**(-3163\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w**3 + 4*w**2 + 4*w + 3. Let n be p(-2). Is (-3556)\/6*n\/30 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9*b + 55. Let s be f(-11). Let g be s\/3*-3 + 6 + -8. Which is smaller: g or 43?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3818757976 + -3818757952.99999939. Let x = -23 + a. Round x to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -14. Suppose 2*d = 6 + m. Suppose d + 66 = 5*s. Calculate the lowest common multiple of 22 and s.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 - 0.36. Let n = 0.8 + r. Let v(m) = m**2 - 3*m - 3. Let h be v(3). Which is the nearest to 1? (a) 4\/3 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3561280 to the nearest integer?\nAnswer: 1887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(0 - (-15)\/(-12)). Let l = g - 3. Let d = l - 1. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10460, 17113, 23766, 30419?\nAnswer: 37072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjp when three letters picked without replacement from pljllllvpg?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rppp when four letters picked without replacement from {p: 3, r: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -g - 2*f - 40, -f - 8 = -g. What is the second derivative of -4*u**3 - 8*u + 10*u - g*u wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8239576 plus 2486.7?\nAnswer: 2487.5239576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from gbwgwwggwgywwgbqwgw.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -18*m**2 - 16*m**2 + 36*m**2. Let j(y) be the second derivative of 5*y**3\/6 + 9*y. Calculate j(d(i)).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 0.34, 0.4, 7, 5, -138?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 - -159. Suppose -p + 34 = 3*f - 7*f, -3*p + 5*f + 81 = 0. Calculate the remainder when y is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 11*c + 11123. Give a(100).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -101.67 and 0.4.\nAnswer: -101.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v + 6*v + 3 + 0 + 3*v - 3*v + 2*v + (2*v - v + 0*v)*(-3 - 5 + 2) - 1 + 1 + v to b*v + s and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**5\/30 + t**2. Let r(g) be the second derivative of 6*g**4 + 12*g + 11. What is n(r(p))?\nAnswer: -10368*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 480 and 117960?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-45)*(-265)\/1431.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 64*g - 123. Let p be q(10). Suppose -2*r - j = -p, -10*r + 5*r - 5*j = -1295. Is 23 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + l + 2. Calculate y(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*v = -119 + 475, 4*r = v - 277. Let g = r + 94. Factor 30 + g - 54 - 4*l - 4*l**2.\nAnswer: -4*l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 17 + y - 21. Let h(m) = 4 - 6 - m + m**3 + 3*m + 5*m**2. Let v be h(-4). What is d(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852 is divided by 280?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*h = -694*h - 93*h + 12168 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4781129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 518090.4 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*p, 0 = -4*c + c - 4*p - 3451. Let s = 2762 + c. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1385*d + 970*d + 126*d - 10852*d**3 - 3 + 5 + 3312*d**3 wrt d.\nAnswer: -45240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 5*v = -9 - 13, -5*j - 16 = -2*v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -5)\/(15\/(-35)). Suppose o = b + 6. Calculate the highest common divisor of 24 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1, -30.1, -3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1848 + -20326\/11. Factor -2\/11 + z*n**2 + 0*n.\nAnswer: 2*(n - 1)*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) -1\/6 (c) -5 (d) 0.1 (e) -993 (f) 3 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 f, and 1 w when three letters picked without replacement from {w: 1, c: 2, f: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*p - 1641 + 471 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/5595 and 25\/115086?\nAnswer: 214635390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k = -27*k + 50*k + 720. Calculate the lowest common multiple of 12 and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Let u(t) = -3 + 1 + 4. Let a(n) = -4*n**2 - 3*n - 3. Let q(f) = 5*f**2 + 4*f + 2. Let s(v) = -4*a(v) - 3*q(v). Give z*s(w) - 6*u(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-49)\/(-14)*4\/(-3)*-3 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3743)\/(-247) + -15)\/(((-168)\/(-39))\/7)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9163877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -6 - (3 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 177*q + 1588. Determine g(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000036011228 to six decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/74*((-140)\/168)\/(3\/9)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -30*u**2 - 12*u. Let m(w) = -12*w**2 - 5*w. Let p(b) = -5*j(b) + 12*m(b). Let d = 1 + 0. What is the remainder when 22 is divided by p(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 7) to base 11\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -72432717 + -3?\nAnswer: -72432721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900)*-1)**2 + -1)*4.\nAnswer: 7596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryjey. What is prob of picking 1 e and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(3\/7)\/(r\/r**2) assuming r is positive.\nAnswer: r**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2866.0791 minutes to hours.\nAnswer: 47.767985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1814406.3 months to years.\nAnswer: 151200.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 802308.7 minutes?\nAnswer: 48138522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -25006.\nAnswer: -1\/12503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1530)\/53040 - (-47400)\/(-832)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5\/7 - 18*k**4\/7 - 386*k**3\/7 - 166*k**2\/7 + 816*k - 1064 = 0 for k.\nAnswer: -7, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -24*y + 8. Let d be a(-2). Suppose 4*i + 0*k = -3*k + 56, 4*i = 2*k + d. Suppose -24 = -6*h + i*h. Let n(r) = r**2 - r + 3. Give n(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 1652*y + 1650*y - 4 = 0, -5*y = 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71708357 and 14.\nAnswer: 143416714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 2. Let u(c) = c**3 + 2*c**2 - 4*c - 1. Let n be u(v). Do n and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011010001111100 (base 2) to base 10.\nAnswer: 46204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - 14*p**2 - 850*p - 3270. Calculate u(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(84)*6 - sqrt(84) - sqrt(84))\/sqrt(3).\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmmpmjpphjmpjpmpmj. What is prob of sequence mpj?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 19*t - 202 - 191 + 396 - 4*t. Let l(s) = -16*s - 4. Give -4*l(f) - 5*n(f).\nAnswer: -11*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104)*1 - sqrt(104)) + sqrt(104))*1)\/(sqrt(6)\/sqrt(108)*1).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3*g = -60. Let k = -17 + g. What is the closest to k in -4\/7, -1\/3, -0.2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 484*s + 1357. Is p(68) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72065 and 1595.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 3*h**2 - h + 1. Let y be r(-3). Suppose -y*q + 4 = 16. Let c = q - -20. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**2 + r**2 + r**2)*((20 - 12 + 14)*(2 - 3 + 3)*(-6 + 3 + 1) + 7 - 3 - 3) to the form m*r**2 + h + x*r and give m.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v. Let d(n) = 1530*n**2 - 41*n - 4. Give r(d(b)).\nAnswer: -1530*b**2 + 41*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574018 is divided by 332.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 69582100 to the nearest one hundred thousand.\nAnswer: 69600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 21232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 + 750774.\nAnswer: 750774.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36\/11 - -208\/77. Which is the closest to -0.1? (a) 3\/5 (b) m (c) -0.1 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 19 + 62 = 0. Suppose -17*u - 11*u + 320 + 2340 = 0. Calculate the remainder when u is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -i - 1. Suppose i*n + 21 = 3*m, 2*m - n = -5*n + 8. Put -4, 1\/6, m in decreasing order.\nAnswer: m, 1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3.56, -2\/91, 5?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m**2 + 386*m - 132 = 0 for m.\nAnswer: 6\/17, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*f - 11 = 0, 5*w + 15 = f + 4*f. Which is smaller: w or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12 + 28)*(0 + 1). Let i(b) = -2*b - 2. Let p be i(-8). Let r = g - p. Is 2 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/5 of a day?\nAnswer: 9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 12, -3*p + 3*x - 6*x = -3. Suppose -2*d = 37 - p. Let l be (d\/1)\/(0 - 2). Solve l*z - 4*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, a: 1, x: 1, w: 1, l: 2, m: 1}. What is prob of picking 1 w, 1 m, 1 a, and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-66*6\/1672)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 8*x + 481 = -16*k - 3*x, -3*x = -k - 38 - 79 for k.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 313 or -1554288?\nAnswer: 313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49066, 49051, 49024, 48979, 48910, 48811, 48676?\n\"Answer: -v**3 - 8*v + 49075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*z + 4608 = 104*z. Let w = 10775\/7 - z. Calculate the common denominator of w and -5\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-9)\/(j**(2\/39)\/j*j)*(j*(j\/(((j**11\/j)\/j)\/j*j)*j)\/j)\/j*j**(-8) assuming j is positive.\nAnswer: j**(-977\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3944 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (34\/(-5))\/(2\/10). Let x = t - -48. Suppose -2*z + 2 = -x. Calculate the smallest common multiple of 7 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253569 to the power of 1\/2, to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*g + 14, 5*a - 6*a - 13 = -3*g. Let s(w) = -6*w + 40. Calculate the remainder when 143 is divided by s(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2749\/6 - -464. Calculate the common denominator of 13\/524 and b.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/4 + 29*q\/4 - 85\/2 = 0. Calculate q.\nAnswer: -34, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let f be b(4). Let t(i) = i**2 - 4*i + 3. Let r be 32\/20*5\/2. Let d be t(r). Solve -4*c - f = 2*q, 4*q + d*c + 4 = 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -2)*-1 + 1. Suppose 8 = -h - 5*k, 2*h - y = -0*h - k. Factor -w - h*w**3 - w**2 + 2*w**3 + 1 + w**3.\nAnswer: (w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15060736 divided by -256.\nAnswer: -58831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -7)\/(3\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 7:31 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 65*z + 3. Let t be n(1). Suppose t = 16*x - 76. Calculate the greatest common factor of 81 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, m: 8, s: 2, d: 4}. What is prob of picking 4 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 28084.239 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102022 - 2?\nAnswer: -102024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/u**1)*u**(-5)\/u)\/((u\/(((u*(u**(-1\/8)\/u*u)\/u)\/u)\/u))\/(u\/u**6)) assuming u is positive.\nAnswer: u**(-97\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 - -0.1. Let u be (-20)\/(-12) + (8 - (-5 - (-424)\/24)). Which is the closest to k? (a) -2 (b) -4\/5 (c) u (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (2\/(-5))\/(3*(-55)\/9075).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 63 = 4*d + 9*j, 0 = d + j - 17. What is the least common multiple of d and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 13) + 3193\/248?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-11) - (-10)\/(30\/6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4\/1 + 2214\/574 + (-6)\/7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 1.487?\nAnswer: -1.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from hkjsxkknxnn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-81*l**3 + 2944*l + 258*l**3 - 85*l**3 + 147*l - 93*l**3)*(1 - 1 + 6*l) to the form s + j*l**4 + p*l + a*l**2 + o*l**3 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -202, -345, -506, -679, -858, -1037?\nAnswer: -1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 u, 1 w, and 1 r when four letters picked without replacement from zwzwurwzzzt?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 20*a + 11. Let i(b) = -185*b + 2. Determine i(f(s)).\nAnswer: -3700*s - 2033","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 13) to base 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 52. Suppose -r + d = 1. Suppose -1 - 9 = -2*h. Solve -5*p = 3*n + 20, r*p + 0*p = h*n + 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + 27. Suppose 5*p - 3*q + 2*q - 24 = 0, -5*p + x = -5*q. Solve r - p*r = -9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqeeeaaqaeeqelqa. What is prob of sequence qlaq?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3))\/(9 - 8). Let j = 48.3 - 48. Sort 0, y, j in decreasing order.\nAnswer: y, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110353, 220991, 331629, 442267?\nAnswer: 552905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2. Let x be (28\/8)\/(6\/12). Let f(o) be the second derivative of -x*o + 0 - 13\/6*o**3 + 0*o**2. Calculate y(f(n)).\nAnswer: -338*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 230 + -236 + (-65 - -173).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 333515999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6803 and -11?\nAnswer: -74833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**3 - 5*p**2 + 22*p + 5. Let g(d) = 2*d**3 - 3*d**2 + 11*d + 3. Determine 5*g(h) - 3*q(h).\nAnswer: -2*h**3 - 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skosxxxvoxxxxoxo. Give prob of picking 1 x, 1 v, and 1 k.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 272\/5 + -54. Let b be (2\/20)\/(1\/(-2)). Let n = -144 + 431\/3. What is the third biggest value in l, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006586 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1454, 11985, 40540, 96119, 187722, 324349?\nAnswer: 515000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43022 and 245840?\nAnswer: 1720880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**3 + 223 + 5733*s**2 - 5730*s**2 - s**4 - 6*s**3 to the form y*s**2 + f*s**3 + o + n*s**4 + l*s and give o.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12267?\nAnswer: 3, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13497 take away 9335223847?\nAnswer: -9335237344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.9 - -7.9. Let y = -9 - -4. Let s = y - -5. What is the second smallest value in d, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155550.\nAnswer: 2, 3, 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express a**4 + 156*a**2 - 5*a + 4*a - 157*a**2 in the form x + y*a**2 + i*a**4 + q*a**3 + p*a and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*k - 6*k + 8 = 0, 0 = k + 1. Solve -c*h = 2*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -8*a + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3*z. Solve 2*k + 3*k + 27 = -j, z = 3*j - 2*k - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 9*j + 37. Let m be t(-15). Let o be ((-12)\/(-2))\/((-8)\/116). Let a = o + m. What is the remainder when 117 is divided by a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*u - 28 - 26 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 30. Suppose -5*l + 5 + s = 0. Let u(p) = -p**3 + 7*p**2 - 5*p + 4. Let y be u(l). Solve 3*m = 4*c + m - y, -20 = -2*c - 2*m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdn when three letters picked without replacement from {b: 1, v: 2, n: 3, m: 7, d: 1}?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 3*s + 16. Let w be a(6). Calculate the common denominator of w\/34*65 - -4 and 4 + -5 + (-64)\/(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2977 = 3302. Solve -6*g - 41 + p = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9505 (base 10) to base 4.\nAnswer: 2110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1349 - 1349.2. Which is the third biggest value? (a) -0.12 (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001624406132 to 6 dps.\nAnswer: 0.001624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 172 + -170. Sort c, 2\/13, -21 in decreasing order.\nAnswer: c, 2\/13, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 160938669 to the nearest integer?\nAnswer: 12686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 bigger than -165\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106588 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 16. Let p(r) = 3 + r**2 - h + 4 - 9*r. What is the least common multiple of 4 and p(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2170 - 2182 + 12*a**4 - 10*a**4 + 4*a**3 to i*a**2 + t*a + n*a**4 + o*a**3 + d and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4878*w**2 - 1236*w**2 - 1224*w**2 - 1208*w**2 - 1215*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5573009 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 7 + -1 - (-16 + 16 + -14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + (-2 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 2, 9, -2, -27, -167?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 3 - 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/9 + 15172*c**3\/9 - 4262208*c**2 + 3590198748*c + 3594462642.\nAnswer: -2*(c - 2529)**3*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15991*k**3*n**3 + 49*k**3 + 5*k**2*n + 2*k*n**2 wrt n?\nAnswer: -95946*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -0.04774729?\nAnswer: 4.04774729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166484881 or 166484882?\nAnswer: 166484882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r + 36 = -43*r. Suppose 442 = 2*a - b, -9*a - 658 = -r*a + 4*b. Does 37 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*s**3 - 39*s**3 + 87*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 13530 = 2*t. Let m(p) = p**3 - 13*p**2 - 163*p + 45. Let x be m(23). Suppose 0 = -2*u - 4*o + x, 512 = -5*u + o + t. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/(8\/120). Let f be (w\/10)\/(2\/4). Solve -6 + f = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) -275 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 7*r**2 - 10*r - 8. Let k be q(-8). What is the highest common divisor of 40 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 v, and 1 s when four letters picked without replacement from {o: 3, s: 1, v: 4, t: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 5*i**8\/336 - i**7\/14 + i**6\/24 + i**5\/4 - 5*i**4\/12 - 10*i**2. Factor z(b).\nAnswer: 5*b*(b - 2)*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 66 + 16?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/10))**(-4\/19))**(-2\/49) assuming q is positive.\nAnswer: q**(4\/4655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -626350+0.1\nAnswer: -626349.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (1 - -3) - (25 - (-15 - 9))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28977482, -57954946, -86932408, -115909868?\n\"Answer: v**2 - 28977467*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-42))\/(1 + (-66)\/(-42)). Let y = -2 - -3. Let m be 6\/4*y\/6. What is the nearest to -1\/6 in j, -4, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*j + 1925 = -14795. Calculate the remainder when j is divided by 97.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4201 (base 11) in base 15?\nAnswer: -19b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5340, -5325, -5298, -5253, -5184?\n\"Answer: h**3 + 8*h - 5349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 3)*(142*r**2 + 67*r**2 - 385*r**2) as l*r**2 + u + o*r and give l.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/56650 and 91\/800?\nAnswer: 906400","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n - 1097600002 = -4*u + 33*n, -2*n - 548800002 = -2*u. Round u to the nearest 1000000.\nAnswer: 274000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 5*j - 3 - 1)*(-1 + 2 + 1) + (2*j + j - 5*j)*(-2 + 2 + 1) to the form u + q*j and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i**3 + 7*i**2 - 9*i + 10. Let b(x) = 13*x**3 + 13*x**2 - 17*x + 20. Determine 6*b(p) - 11*l(p).\nAnswer: p**3 + p**2 - 3*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 10:01 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 - a**3 - a**3)*(0*a + 4*a + 2 - 3*a).\nAnswer: -3*a**4 - 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*a - 79*a = 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c - 30. Let g be w(-11). What is the hundreds digit of 30\/((-6)\/(-12) + (-10)\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000024722051 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -798176 (base 12) to base 2.\nAnswer: -111011010001111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -219860 (base 10) in base 5?\nAnswer: -24013420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24055.9249 rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 597312*o**4 - 69*o**3 + 52044519 wrt o?\nAnswer: 2389248*o**3 - 207*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 635*w = 2456 + 33914 + 3635. Find j such that -40*j - w*j**3 + 6 + 157\/2*j**2 - 2*j**5 + 41\/2*j**4 = 0.\nAnswer: 1\/4, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1446 - 1446.0000002. Round c to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13102045\/7 less than or equal to 1871721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 6*d + 3. Let n be v(-5). Let j be 2 - 114\/9 - n\/3. Let i be (32\/j)\/(4\/(-10)). Calculate the highest common factor of i and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71831203 is divided by 100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -276203*5\nAnswer: -1381015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*t - 411995 = 3*o, 5*o - 2*t + 515002 = 0. Round o to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -7*i - 5. Let m(d) = -4*d**3 + d. What is the remainder when 5 is divided by m(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 84*i**2 - 2348*i - 100. Determine k(28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 + -0.1. Let o = h - -1.03. Which is the nearest to o? (a) 2\/11 (b) -0.3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 + -62 - -10) + 27\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/184 equal to -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -339*n + 252 + 426 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three thirds of a day?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 + -73. Let x(w) = r*w**2 + 23*w - 4 + 1 - 17*w - 10*w. What is x(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*l - 4*l + 22, 3*l = -5*r + 53. Suppose 42*f - 7131 + 22251 = 0. Let o = 365 + f. Solve o*b - r = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -10\/51609067?\nAnswer: -10\/51609067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/15 + 7\/5. Let x = 1082 + -1069. What is the biggest value in q, x, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (18\/27)\/((3 + -2)\/207)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-2)*((-6)\/(-1))\/72.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)*-2)\/(sqrt(12) + sqrt(12)*-1*2).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5}. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-3) + 8\/12. Let k = 1 + c. What is the smallest common multiple of 11 and k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/6*6\/(-54)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -1\/4, -55\/4, 2\/9 in ascending order.\nAnswer: -55\/4, -1\/4, 2\/9, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/4 of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 212, 228, 246, 266?\n\"Answer: d**2 + 13*d + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 2 + 2)*(-2 + 7 - 3) - 3 + 2 + 0)*(246*p - 245*p - 4799 - 4931)*(-3 + 3 - 1) to the form b*p + t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3 - 120*o**2 - 255*o + 14450 = 0. Calculate o.\nAnswer: -10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20777 + 0*h - 20777 + 3*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3. Let o be 2 + -1 - 0\/(-2). Let l(a) = -21*a**3 - 3. Let s(k) = o*l(k) + 18*p(k). Differentiate s(c) with respect to c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 + 13*g**2 - 9*g - 15. Let r = -138 + 132. Does 43 divide o(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 19*f + 20. Give x(-12).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 12)*(-9 - 2*h + 9) to n + o*h and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6*o**2 + 10*o - 3. Give q(7).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -9. Let g(z) = z + 4*z + 5 - h*z. Let f = 11 - 11. What is g(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38578036213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykym when four letters picked without replacement from {y: 3, u: 1, k: 4, m: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*d - 731 - 1239 + 20 = 346 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 7 - 7)*(-3*i**2 + 0*i**2 + i**2) - 173*i**2 + 182*i**3 + 173*i**2 - 9 + 9 + i**3 to m*i + c*i**2 + w*i**3 + g and give w.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 4*q + 2*t - 40, 5*q + 141 = -4*t. Which is the nearest to q? (a) 3 (b) 0.15 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-3)*-1)\/((-1)\/(-3)). Suppose -4*u + 7 = -t. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -l - 21, -3*l - 4*n - 8 + 0 = 0. Suppose 1326 = a - l*o + 434, a = 2*o + 896. Is a a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**2 - 31*o - 1. Let r be d(-6). Suppose -3*b + 4*x - 235 = -6*b, 0 = -r*b - 5*x + 400. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 >= 238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18126022 a multiple of 1621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.92049 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32a - 5759?\nAnswer: -5a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*d + 4 = 0. Let b(x) = x**2 + 9*x + 13. Let c be b(-8). Put d, c, 3 in decreasing order.\nAnswer: c, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 70*m**3 + 5*m**2 - 21*m + 4. Let o(y) = 140*y**3 + 11*y**2 - 43*y + 9. Let k(r) = 4*o(r) - 9*u(r). What is the third derivative of k(l) wrt l?\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (0\/(-3) - -9). Let o(d) = 0*d**2 - 6 + i*d - 3*d**2 + d**3 + 0*d**2 - 2*d**2. Determine o(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 2, v: 2}. Give prob of sequence vtv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*p - 2*p - 20, -5*p + 10 = 0. Let w(l) = l**3 - 4*l**2 - 7*l. Let c be w(5). Let h be c\/56 + 4\/g. Put -1\/14, 2\/17, h in ascending order.\nAnswer: h, -1\/14, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 23004*c**2 + 58963*c - 56. Let q(i) = -4601*i**2 - 11792*i + 12. Let p(s) = 14*q(s) + 3*z(s). What is the second derivative of p(l) wrt l?\nAnswer: 9196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/35*(-2)\/1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 10787?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f. Let i(w) = w**2 - 20*w + 34. Let a(c) = 2*i(c) - 2*x(c). Is a(23) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d - 3*c = 449, 3*c - 279 = -3*d. Suppose d = 4*x + 3. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1257102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 611?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 21 (b) 3 (c) -1450 (d) -21 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + r - 1. Let a = 77 + -72. Suppose -a*u + 0 = 20. Let f(g) = -3*g**2 - 3*g + 6. Determine u*h(j) - f(j).\nAnswer: -j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 10, -4.47, 0 in decreasing order.\nAnswer: 10, 0, -4.47, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -31\/24*j**4 + 7\/15*j**5 - 2*j**2 - 1\/6*j**3 + 0 + 24*j. What is the second derivative of k(f) wrt f?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, z: 5, o: 5}. What is prob of picking 1 o and 1 z?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -309650463 and 0.0495?\nAnswer: 309650463.0495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 3*p**2 + p + 3. Let v(x) = 0*x - 8 + 6 - x**3 - 4*x**2 - 3*x + 5. Let i be v(-3). Is w(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lllfflllllll.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8369451359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.03361642 * -3\nAnswer: 0.10084926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 3:30 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 37100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(4 + 12744\/(-3188)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 m when four letters picked without replacement from {m: 18, t: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0 (b) 509 (c) 0.5 (d) 1\/3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -42. Let v = -29 + 33. Suppose 2 = -3*i - v*p + 5, -3*i + p = -18. Calculate the remainder when c is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*n**2*r**3 - 232*n**2 + 56*n*r**4 + 12*r**4 + 489*r**2 wrt r?\nAnswer: -72*n**2 + 1344*n*r + 288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1017147 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 11:09 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)*w)\/(((w*w*w**(1\/45))\/w)\/w) assuming w is positive.\nAnswer: w**(53\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 3. Let f = 13 - 3. Let g be v(f). Suppose t + 3*z + g = 0, 16 = t - 2*z + 3. Solve -1 = -b - t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 32. Let j = 246 + -242. Let y = 4 + -3.5. Which is the second biggest value? (a) i (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.018 and 1276800?\nAnswer: 22982.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -996.52 from -1698726.\nAnswer: -1697729.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2342*v - 2441*v. Let b = 8 + -98. Let j be ((-3)\/5)\/(b\/(-4)). Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**3 - 5\/2*d**2 + 1\/2*d**4 + 0 + 1\/20*d**5 - 3*d. Is o(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*y + 47*y + 24 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p + 1. Let g be w(0). What are the prime factors of 21\/(g\/(1448\/24))?\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215881, -215880, -215879?\nAnswer: -215878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**22*(b*b\/b**(-8)*b)\/b assuming b is positive.\nAnswer: b**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 18 = -n, -2*n + 2*s = 4*s - 4. Suppose y - 1 - 5 = -l, -5*y + 5*l = 0. Suppose 6 = -2*d, 3*j = -d - y*d - 27. Put n, j, 3 in decreasing order.\nAnswer: 3, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30053 and 2447487.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141230.3018 + 141025. Let l = g - -112.333. Let s = l + 93. Round s to 3 dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5 - 10700*r**4 + 3277870*r**3 - 230641640*r**2 - 2005207520*r - 4118043008 = 0.\nAnswer: -5644, -4, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5517 - 95*v**2 + 5517)*(2*v**3 - 4*v**3 + 4*v**3).\nAnswer: -190*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -6\/11 (b) -299 (c) -7\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8 = z, 3*z + 0 = 5*f + 7. Let r = 1 + f. Let n be 1\/(-3) - (-55)\/3. Solve 2*k = -r*m + n, 0*m - 41 = -5*k - 4*m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 - (-56 + -46 + -45).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -4) + (3 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10300213 (base 4) to base 16.\nAnswer: -4c27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, 13, 50, 111, 202?\n\"Answer: n**3 + 3*n**2 + 3*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3 = -18. Let g(f) = -272*f + 1. Let m be g(w). Let z = 1580 - m. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 16. What is the remainder when t is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22402, 22498, 22594, 22690?\n\"Answer: 96*c + 22306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 84 - 648624?\nAnswer: -648530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8327.405t to kilograms.\nAnswer: 8327405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 633615*s**2 - 20073715215*s + 20073081605.\nAnswer: -5*(s - 63361)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 2, 3*c - 2 + 9 = -4*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5.01, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -6, 3, -1 in ascending order.\nAnswer: -8, -6, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132656 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64461842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(((-53)\/1219)\/((-1)\/(-7)))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 g when three letters picked without replacement from {l: 5, g: 8}.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 949.1 to the nearest 10.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-9)\/(-12))\/((-9)\/(-6))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 4651*f**6\/30 - 682*f**2 + 80*f + 39. Find the first derivative of c(z) wrt z.\nAnswer: 18604*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1931\/9, 191, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 194193678 to the nearest 10000.\nAnswer: 194190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324, -649, -974, -1299, -1624?\nAnswer: -1949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from ooqnozoozzoonnq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251711408 - 102845570 + 92451488 = -170*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 871641816 a multiple of 5406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 8*z + 7. Let x be n(-5). Let j(u) = u**3 - 42*u**2 - 179*u - 228. Let m be j(46). Find the first derivative of m*p - x*p - 3*p + 9 wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5728916 - -10079645. Let x = 1952729 - d. What is x rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 f when four letters picked without replacement from ppfafffffffffpfff?\nAnswer: 429\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9145978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*t**3\/7 - 25272*t**2\/7 - 2151522*t\/7 + 1052676\/7 = 0. What is t?\nAnswer: -171, 18\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5935\/17 + -349. Let h = 0.29 + 0.01. What is the third smallest value in h, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.524 rounded to two decimal places?\nAnswer: -1.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83749?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -233 - -560. Let j(n) = -41*n - 7. Let m be j(5). Let t = m + o. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**1\/r*r)))\/((r*(r\/(r*r\/(r\/r**6)*r))\/r*r)\/r))\/(((r**(1\/4)*r)\/r)\/((((r*r**(-2\/15)*r)\/r)\/r)\/r*r)) assuming r is positive.\nAnswer: r**(457\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = 29*y - 114 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3 + 55. Let k = 7 + w. Let v be k\/(-4)*(-16)\/(-6). Solve 5*g + 2*i - 23 = i, -v*g + 13 = -i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 4 (c) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3750996*-0.1.\nAnswer: 375099.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9208465 divided by -2?\nAnswer: -9208465\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5197 - 5197. Let d = 5 - 8. Let f = 1 + d. Sort f, -1\/2, z.\nAnswer: f, -1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 87933713229 + 87933713229.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 117*n**2 - 228*n**2 + 124*n - 1 + 1 - 1 - 133*n as l*n + r + a*n**2 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8176094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 35\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*sqrt(475)*3.\nAnswer: 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*t + 165*t + 3*t**3 - 83*t.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 46*z = 390 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/108072 and 13\/40?\nAnswer: 540360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2477*b**3 + 1843*b**3 - 4232*b**3 + 1216*b**3.\nAnswer: 1304*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 651, 757, 953, 1269, 1735, 2381, 3237, 4333?\n\"Answer: 5*g**3 + 15*g**2 + 26*g + 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 4 + 4)*(5 - 5 - 2*q + (3 + 4 - 4)*(-q + 3*q + 0*q)) in the form x + s*q + w*q**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 58 - 43 = 2*l, -7*o - 2*l = 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iibggbiiibiiibixxb. Give prob of picking 1 g and 1 i.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1423230 + -145?\nAnswer: -1423415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/37 - -68\/111. What is the smallest value in f, -3\/2, -2\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g + 126. What is d(-7)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -125\/4, -2, 1\/5, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 5) + (0 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x. Let b(u) = -6*u - 26. Let h be b(-11). Let z(m) = 4*m**2 + 20*m - 20. Let g(v) = v - 1. Let q(p) = h*g(p) - 2*z(p). What is d(q(i))?\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 16 = j, 0*b = 3*j + 4*b - 28. Let p = 12 - j. What is the remainder when 14 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002542412 rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20200201211022 (base 3) in base 11?\nAnswer: -200a7a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 18*p**2 - 17*p + 4. Let u be k(-17). Solve 3*l = -c + 9, -u*l = 4*c - 5*l + 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 474 and 9.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 15*f - 25. Suppose 0 = g - 3*x - 10, -43*x = -g - 26*x + 10. Calculate h(g).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 4. Let u be p(6). Let q be 26\/3*(-6)\/u. Let y be -3 - (3 + q\/5). Which is the third biggest value? (a) y (b) -4 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 18543*q + 29 = 18538*q, 3*a + 5*q = -28 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2. Suppose -14 = 5*f + 6*a - 2*a, -7 = f + 5*a. Let n = 1 + f. Calculate u(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54234862 to the power of 1\/2, to the nearest integer?\nAnswer: 7364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 14195*j**2\/2 + 3149737*j + 2360307\/2.\nAnswer: (j + 887)**2*(8*j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/9682530 and 149\/3294.\nAnswer: 87142770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 3*k**2 - k. Let r be i(-1). Suppose -p - 15 = 4*p. Sort p, r, 3 in decreasing order.\nAnswer: 3, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8023229 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 + -623\/8. What is the fourth smallest value in s, 0.2, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(2\/19)\/(v**(-1)\/v**(1\/3))*((v*v*v*v**(2\/33)*v)\/v*v**(-3\/5)*v)\/((v\/(v*((v**(-3)*v)\/v)\/v))\/(v*v\/(v**0\/v*v)*v*v*v)) assuming v is positive.\nAnswer: v**(18494\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 9 + 11. Suppose -6*r + 2 = -x*r. Let a = r + -1. Is -1 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 384 - 202. Suppose -2*f = -0*f - g. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8874*b - 20. Let n be z(-4). Suppose 0 = -17*r + n - 3159. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599458 is divided by 2178.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 129*n**2\/2 - 511*n = 0.\nAnswer: 0, 1022\/129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -1330251.\nAnswer: -266050.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 37 - 17 - 1 - 22, -5*c - 2*q + 48 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-2)\/6)\/((-11)\/(-66)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1907 is divided by 80?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -7*z + 30. Let a = 15 + 0. What is the highest common divisor of z and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 176 + -358. Let r(a) = 5*a**2 + 9*a + 5. Let o be r(7). Let i = o + b. Is 41 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/15*12\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 + 249317\nAnswer: 249316.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 - -105. Which is the closest to 2? (a) u (b) -0.2 (c) -20 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1295835 + -1?\nAnswer: 1295834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -131*n**2 + 21*n + 3. Let y(i) = 46766*i**2 - 7504*i - 1072. Let a(c) = -1072*q(c) - 3*y(c). Let v(b) = -2*b. Calculate v(a(o)).\nAnswer: -268*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122 - 164. Is 44 a factor of ((-594)\/21)\/(3\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1. Suppose -13*o = -14*o. Let h = o + -1. Let p(z) = -z + 1. Let y(f) = h*d(f) - 3*p(f). What is y(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 4:13 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 618284*n**4*q - 128*n**3*q + 15*n**2 + 2966*n + 3*q + 4 wrt n?\nAnswer: 14838816*n*q - 768*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20518632 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 14*d**2 + 5*d + 15. What is the tens digit of f(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 * 1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -515*r**3 + 13*r**2 - 20*r + 12. Let g be b(-14). Suppose -9*p + g = -3*p. What is p rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 1. Let x be b(-7). Solve 2*c - 4*c - x = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010658 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1940 * -3497.\nAnswer: 6784180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10216*b**5 + 12*b + 43 wrt b.\nAnswer: 204320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 4. Calculate h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-3\/5)*k\/k**(2\/5))**(-30))**(-48))**(-4) assuming k is positive.\nAnswer: k**(-5760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -0.2, 7415.\nAnswer: -4, -0.2, 2, 7415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 10*h - 1. Let m(q) = -15*q + 1. Let z(o) = 5*m(o) + 7*n(o). Let p be z(-2). Which is greater: p or 7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 8:45 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248445.\nAnswer: 3, 5, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:45 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.59485329 rounded to four decimal places?\nAnswer: 7.5949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 4*v = -51 - 23, 2*t + 20 = v for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106.07 - 15.97. Let w = r + -14.1. Let f = -75.99943 + w. Round f to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515276 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 6*w - 3. Let v be j(-5). Suppose 15 = 5*m + v*t - 4*t, m + 5*t = 3. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from iixixi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvsmvwmvsvjwwvwvs. What is prob of picking 1 m and 3 v?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 84531287753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 108 + 23. Suppose -i = -4*k - 2590, 8*k - 4*k = 3*i - 2594. Let y = -643 - k. Solve h - 5 = -y*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1182052013?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 - -72. Suppose 0 = 5*i - s - 2259 - 1633, 4*s + 8 = d. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**4 + 185*b**3 + 676*b**2 + 504*b - 5. Let j(f) = -3*f**4 + 186*f**3 + 675*f**2 + 504*f - 6. Let u(r) = -5*j(r) + 6*v(r). Solve u(o) = 0 for o.\nAnswer: -56, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201369 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -45. Let c = t + -31. Suppose -204 = -c*x - 28. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 27, 3, -1\/5, 1\/4, -16\/19?\nAnswer: -16\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a + 15. Let w be ((-51)\/34)\/(0 - 1\/2). Sort w, a, 1 in ascending order.\nAnswer: a, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-38)\/(-95))\/((-32)\/280))\/((-2)\/92). Solve -36 = 167*t - p*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000065975 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/4*-23 - -4. Round s to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 34\/(-51) + 835\/(-75) + 12. Suppose -1\/5*b**5 - 1\/5*b**2 + 3\/5*b**3 + 0 + h*b**4 - 2\/5*b = 0. Calculate b.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 34.5. Let l = -12 + w. Which is greater: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*a + 3, 2*a - 4*a = b. Solve a = 4*n - l - 0*l, 3*n - 4 = 4*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.00501 - -2.99499. Sort -2, 1, f, -4, 63 in increasing order.\nAnswer: -4, -2, 1, f, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-1))\/(-10))\/(48\/(-300)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*i + 4*i**3 - 11*i + 6*i**3 + 0*i**3 - 4*i**3 + (3 + 1 - 6)*(i**2 - 2*i**3 - i**2) - i**3 - 4*i**3 + i**3 + 0 - 19*i**3 + 1 - 1.\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 6*z**2 + 44*z - 45*z to the form b*z**2 + o*z + u and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 - 2 - (-116)\/1. What is the units digit of 4470\/n + (-1)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1452878 and 1099.\nAnswer: 1452878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 889 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(192))\/(sqrt(400)*1) + -2*sqrt(3)*1*-5*-4.\nAnswer: -194*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2394*0.012.\nAnswer: 0.0148728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130\/26*-2*(-1)\/30.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 14508 = 4*i, 3*i - 7254 = -2*a - 0*i. Let h = 9901 - a. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1\/2, -1\/10, 87\/4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 387966 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b. Let c be 2 + -1*(-2)\/(-2). Let g(m) = m**2 + 5*m + 4. Let w(z) = c*g(z) - 5*f(z). Let a be w(-5). Solve x + 10 + 9 = -5*u, 3*u + a = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 92, 348, 772, 1364?\n\"Answer: 84*q**2 + 4*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 6. Let h = 291 + -281. Let d(j) = h*j + 15*j + 6 - 22*j. Give d(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(117) - -2*sqrt(117).\nAnswer: -4 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105407591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2563, 10215, 22973, 40837, 63807, 91883?\n\"Answer: 2553*n**2 - 7*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (582 - 3772 + 925 - 2741 - 1364)*(-3*x + 7*x - 3*x).\nAnswer: -6370*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 2 = -3*x. Suppose x*h + 286 = 1182. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4102, 4009, 3916, 3823?\n\"Answer: -93*w + 4195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -47. Suppose 3*d - i = x + x, 0 = x - 4*d + 26. Is -1 + -1 - (x - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b**2 - 5106*b - 51557. Give p(-628).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3107836?\nAnswer: 2, 373, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xccc when four letters picked without replacement from ycrcryycxyydyrrxryy.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 223199628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.235 - -3.23?\nAnswer: 2.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(3*h - 3*h - 2*h**2) + 5*h**2 - 4*h**2 + h**2 + 0 + 0 - 2*h**2 + (0 + 2*h + 0)*(-2*h - h + 5*h) - 6*h + 6*h - 4*h**2.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 17*b**6\/30 - 6*b**2 + 2*b. Differentiate n(z) wrt z.\nAnswer: 68*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/((4\/(-5))\/((-36)\/(-90)))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3\/3 - 526*f**2 + 106948*f\/3 + 36176 = 0.\nAnswer: -1, 76, 714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*r + 15*r - 246. Let b(p) be the second derivative of -2*p**3\/3 + 5*p**2 + 2*p. What are the prime factors of b(r)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6048 - 36293\/6. What is the third biggest value in 2.385, -1\/3, f, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 3*w + 3, -4*i - 26*w + 4 = -29*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 2*n + n**2 - 29 + 24. What is h(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 9063 = c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1468483, -1468471, -1468451, -1468423?\n\"Answer: 4*x**2 - 1468487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 7. Suppose j*m + 5*m + m = 0. Calculate the common denominator of -111\/40 and (m + 1 - 78)\/(-6).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 564bc?\nAnswer: 564ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113607882 is divided by 18934646.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 8) to base 13.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5*y - 4*y + 1 to the form l + x*y and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2295 (b) -950 (c) 0 (d) 215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfq when three letters picked without replacement from dqqf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 87561 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2459 is divided by 877?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -9*g - 5. Let y be t(-6). Suppose -3*x + y = -4*m, -3*x + 44 = -m + 2*m. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102086 is divided by 886?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 719*s = 724*s - 25. Suppose -3*k + s*k - 297 = 5*m, -2*k + 276 = 2*m. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 8*k**2 - 7*k + 5. Let l be m(-7). Let r = -17 - -18. Suppose u - 2*v - 3 - r = 0, 0 = -5*v - 10. Solve 0*a - l*a + 10 = u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2202*u - 17 + 2 + 15 + 374*u as p*u + l and give p.\nAnswer: -1828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 0*s**2 + 226\/3*s**3 - 233*s - 278. Differentiate k(l) wrt l.\nAnswer: 452*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 27. What is the tens digit of 52\/(-5)*p\/4 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 6*j - 1. Let n(r) = 4*r**2 - 25*r - 5. Let g(p) = -9*a(p) + 2*n(p). What is g(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 5*r + x, 158*r + 11 = 157*r - 3*x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o - 7*o + 16*o)*(-92*o + 53 - 53)*(3*o**2 + 2*o**2 - 4*o**2) to u*o**4 + j + h*o**2 + k*o + t*o**3 and give u.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 8:11 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/36 and 97\/64400340.\nAnswer: 193201020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 4:05 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**7\/210 + 4*h**6\/25 + 47*h**5\/25 + 111*h**4\/10 + 369*h**3\/10 + 351*h**2\/5 - h. Factor v(l).\nAnswer: (l + 2)*(l + 3)**3*(l + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 46212 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 f when three letters picked without replacement from fggllgglglgfgg?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3231 - -32544. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m + 5*i - 10, -17 = m - 4*i. Let v be (-2)\/(-6)*2*m. What is the second derivative of -v*r**4 + 5*r**4 + 2*r - 4*r**4 wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 725 - 713. Solve 18*k = -51 - z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/24 - (0 + 1125\/(-24)). Let s = f + -45. Suppose 31 - 69 = -s*y. What is the highest common factor of 152 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1192, -5 in descending order.\nAnswer: 2, -4, -5, -1192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*a - 41*a + 3700 = 0. Let z(u) = 27*u**2 + 14*u + 52. Let l(m) = 55*m**2 + 28*m + 105. Let x(s) = -6*l(s) + 13*z(s). Is x(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 447130860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5*v = -121 + 114, 5*f = -9*v + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11296 + -5?\nAnswer: 11291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -351 + 3?\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42477705 divided by -2.\nAnswer: 42477705\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k + 26*k - 33 = 50 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 862868, 3451477, 7765826, 13805915, 21571744, 31063313, 42280622?\n\"Answer: 862870*h**2 - h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 9928.\nAnswer: 29784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 162 + -1297\/8. Which is the biggest value? (a) s (b) 1\/2 (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41 - (10 + 198 + -16)) + 5\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2564 divided by -5\nAnswer: 2564\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 470\/8701 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**5 + 857*d**4 - 10704*d**3 - 74328*d**2 + 7*d - 23?\nAnswer: -120*d**2 + 20568*d - 64224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -20384*x**3 - 4*x**2 + x + 4. Let m be o(-1). Let p = -1304475\/64 + m. Let a = -41\/212 + 9379\/1908. What is the common denominator of a and p?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 149*a**6\/30 + 13*a**5\/15 + 430*a**2. Find the third derivative of c(p) wrt p.\nAnswer: 3576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -630451 take away -20320?\nAnswer: -610131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217.4*1367.\nAnswer: 297185.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 37, 4, -4 in decreasing order.\nAnswer: 37, 12, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**4\/12 - 5*v - 37. Let z(a) = -4 + 13*a - 197*a + 4. Determine z(l(i)).\nAnswer: -184*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13749 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1530117 hours to microseconds.\nAnswer: 550842120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 7*t**2 + 5*t - 27. Does 24 divide r(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 14*m - 37. What is k(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 - 3*f + 6. Let x be q(-3). Let a = -1 - x. Solve 3*z - 18 = u, -2*z = -0*u + 4*u + a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -7. Suppose -q + y = -4. Let k = q + -5. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 1\/(-2)*-6. Let j(o) = 145 - o + 3*o**2 - 5*o**2 + o**2. Is j(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -11\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/220 and -23\/8.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/180 + 1505*u**4\/36 - 2265025*u**3\/18 + 1102*u**2 + 2. Factor j(w).\nAnswer: -(w - 1505)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*j + 83*j = -1010. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from {o: 5, w: 1, v: 2, b: 1, t: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -147 - -249. Suppose 4*g - 602 = a. Suppose -295 = -2*h - 3*i, -5*h + 4*i + 573 = -g. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -664*h**3 - 810*h**3 + 689*h**3 - 754*h**3 - 531*h**3.\nAnswer: -2070*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 7*r + 3. Let w be d(-6). Which is smaller: -6 or w?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162*m**3\/5 + 828*m**2 - 1864*m\/5 + 208\/5.\nAnswer: 2*(m + 26)*(9*m - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.385 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*w - 808*w = 13641 + 681 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/9 + -1)*-3. Suppose -2 - d = -f. Suppose f - 12 = -2*c. Solve 6*r - 2*r + 20 = -c*o, o - 5*r + 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.86 - 26.6. What is the second biggest value in 0.9, -0.4, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(5) + sqrt(5))**2*4 + -4.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.5 + -11. Let p = -2 + i. Which is the second biggest value? (a) p (b) 1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from xxooo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7 and 2092422.\nAnswer: 2092421.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-11) + 942\/22?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/15)\/g)**(-2\/47))**(-28) assuming g is positive.\nAnswer: g**(-952\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 866389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**3 + x**3 - 5*x**3)*(-2*x + x + 2*x) + (2*x**3 - 2*x**3 + 4*x**3)*(23*x - 148*x + 13*x) as l*x + o*x**3 + p*x**2 + d + w*x**4 and give w.\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.085 + 10.085. Let i = -89\/4 + 22. What is the closest to 2\/5 in i, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 8 + -1 + 2. Solve 5 = -4*y - l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*a - 86*a + 296. Let q = a - -79. Solve 5*l = -2*i + 21, q*l - 2 - 13 = -5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3*g = 21, -3*f - 424 = 3*g - 457 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -34 - 5) + (1 - 8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 - 28185*g**3 + 21573*g**3 + 2.\nAnswer: -6612*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 8:07 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dada when four letters picked without replacement from {d: 6, a: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*2*sqrt(117)*-6)\/(((sqrt(216)*2 + sqrt(216) + sqrt(216))\/sqrt(12))\/sqrt(2)*-1).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**9)\/q*q*q)\/((q\/q**(-4\/9))\/q))\/((q\/q**(2\/9))\/q**9) assuming q is positive.\nAnswer: q**(169\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 805006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-120)\/(20 - 8)*(-4)\/10. Solve 0 = -2*k - 5*d - 23, 0 = -q*k - 4*d - 17 + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6476234 is divided by 81.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -209*u + 1648 + 2532 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v = -102 - 297. Which is greater: -15 or v?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3736 (base 8) to base 15.\nAnswer: 8e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b - 3*b - 3*b)*(1 + 1 - 4) + b + b - 5*b + 1 + b - 1 + b + 0*b + b + (0 - 2*b + 0)*(-4 + 5 + 1).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -482 + 168 - 50*t + 172 + 195 to the form j + o*t and give o.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + -3. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -12 - 10 - 3 + 1 - 2*b. What is the least common multiple of s(-17) and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.7 and -0.01910441.\nAnswer: 0.242626007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 2 - (-402)\/1 - -2. Let p = b + -238. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 683685*x - 3418435. What is i(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -160 times -5370\nAnswer: 859200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -1\/32*n**4 + 1\/160*n**6 + 0*n + 18*n**2 + 1\/4*n**3 + 0 - 1\/40*n**5. Let h(y) = 0. What is y?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 7*q**2 - q + 1. Let z(i) be the second derivative of i**5\/20 + i**4\/6 + i**3\/6 + 85*i. Let c(h) = -v(h) + 2*z(h). Factor c(f).\nAnswer: (f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from tjrrubnn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(160) + -5*sqrt(160)*-1)*-2)\/((sqrt(350) - sqrt(14))\/sqrt(7) - sqrt(12)\/(sqrt(12)\/sqrt(2))))**2*1.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1418443012 by 4.\nAnswer: -354610753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 286139 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: Rearrange 0*r**3 - 954*r**4 + 2 + 956*r**4 - r**3 + 91*r - 1 to the form w*r**4 + n*r**3 + t*r**2 + u + j*r and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.12 (b) -0.2 (c) 0.008 (d) 0 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) - sqrt(847)*1) + sqrt(847) - -2*sqrt(1008))**2 - (5*sqrt(7)*-1*3)**2 - -1*(1 + sqrt(847) + 0)**2*-2.\nAnswer: -44*sqrt(7) + 5304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 416 and 719472?\nAnswer: 1438944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*t**3 + 309*t**3 - 67*t**3 + (0 + 0 + 2*t**2)*(0 - t + 0) in the form i*t**2 + o*t + y*t**3 + a and give y.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31 or 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15245529.\nAnswer: 3, 13, 331, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -538?\nAnswer: -538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 3b5?\nAnswer: -3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1848154, 1848162, 1848174, 1848190, 1848210, 1848234?\nAnswer: 1848262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 15*s**2 + 17*s + 13. Let m be u(-16). Let i be 2\/6*m - -4. Solve 0 = k - 3*p - 4, -i*k + 0*k - 21 = 2*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = -4*g, 7 = o + 3*g. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 57.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6\/11)\/x)\/(x*x**(2\/3)*x*x))\/(x\/(x**1\/x))**(4\/7)*((x*(x\/(x**1\/x*x*x))\/x*x)\/(x*x**(-8)))\/(x**0)**(-13\/8) assuming x is positive.\nAnswer: x**(281\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -16*j + 5*j**2 + 5 - 17*j - 3 + 34*j. Let h be g(-2). What are the prime factors of (48\/h)\/2*(-1 - -106)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2. Suppose 4*o = o. Suppose 1 = 3*h - 11. Let c(v) = h - 4 + o + v. What is i(c(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -802 + 807. Solve -y*h - 13*h + 36 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8066 + 8066 - 409404*u.\nAnswer: -409404*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**9\/504 - a**6\/45 - 11*a**3\/6 + a. Let t(u) be the second derivative of i(u). What is the third derivative of t(m) wrt m?\nAnswer: 360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/5 + 226*l**2\/5 + 449*l\/5 + 224\/5.\nAnswer: (l + 1)**2*(l + 224)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -43, 2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1664978*u. Let f(i) = -4*i**2. Calculate f(p(y)).\nAnswer: -11088606961936*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02866542 to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 424374 (base 8) to base 15.\nAnswer: 2be29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31123, -124044, -278765, -495280, -773583, -1113668, -1515529?\n\"Answer: c**3 - 30906*c**2 - 210*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27224536 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209653223 is divided by 2195?\nAnswer: 2188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.1. Let j = 0.3 - d. Let u = j + -0.9. Sort -0.2, -2, u in descending order.\nAnswer: -0.2, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**3 - r**2 - 49*r + 0 - 2 - 17*r**4 + 49*r to the form t + b*r + a*r**4 + p*r**3 + g*r**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 2. Let d be i(-4). What is the smallest common multiple of 9 and (14\/(-4))\/((-5)\/d)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90240216917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171) + (sqrt(19)*-2*-4)**2)*-1.\nAnswer: -1216 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112 + 284. Let t = -42628796 - -42628624.00091. Let f = t + q. What is f rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 37*u + 57. Let g be h(-17). Suppose 0 = q + 3*q - 4*r - 56, 3*q = -2*r + 22. Solve -2*j - q = -g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.544 != 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60c83 (base 14) in base 12?\nAnswer: b2997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-84)\/(-189))*(-10)\/105.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149538 = 3*g + 4*b, -249335 = 6*g - 11*g + 5*b. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2. Let n(v) = v**2 - 5*v + 2. Let o be n(5). Let t be -1 + (5\/5*1 - -2). Let a(j) = j**o - 3*j**2 + 3*j**t. Determine a(g(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 61. Suppose -i = -16*l + 11*l. Suppose l*k + 21 = 4*r - 151, 5*r - 185 = -k. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 20*s = 138. Let n be 2\/(-6) - (-96)\/18. Find the third derivative of -x**2 - s*x**3 + 138*x**3 - n*x**6 wrt x.\nAnswer: -600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2252478?\nAnswer: 2, 3, 375413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36528109?\nAnswer: 211, 233, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5\/4 - 15*r**4\/2 + 2*r**3 + 60*r**2 - 4*r - 120 = 0. What is r?\nAnswer: -30, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2229*m + 2235*m + 2362*m - 9058*m + 2230*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**3\/15 - 3*c**2\/5 + 9*c\/5 + 5. Factor n(w).\nAnswer: (w - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11.89 and 147?\nAnswer: 158.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**2 - 9. Let l(c) = -16*c**2 - 11*c + 11. Let o(p) = 7*p**2 + 4*p - 4. Let r(i) = -4*l(i) - 11*o(i). What is r(d(h))?\nAnswer: -208*h**4 + 936*h**2 - 1053","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3618 >= -3617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -857*m**4\/12 + 7*m**3\/6 + 2*m**2 + 3*m + 21. Let x be d(-8). What is x rounded to the nearest one thousand?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(396) - sqrt(396)*-2*3) + sqrt(396)))**2 - (-5*sqrt(88)*-1)\/(sqrt(8) + sqrt(96)\/(sqrt(24)\/sqrt(2))))*-3.\nAnswer: -1216512 + 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -927*g**3 + 1962*g**3 + 0 + 0 - 548*g**3 - 489*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*r - 1. Suppose -r*b - 140 = -4*p - 5*b, 175 = 5*p - 3*b. Calculate the remainder when p is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (-2 + -1 + 0). Does 21 divide g + (1\/(-6) - 3377\/(-66))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 6. Let r be a(-4). Let n(b) = b**3 - 2*b**2 + 1. Let t be n(r). Put 5, t, -4 in descending order.\nAnswer: 5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4934756*o + 83125144 with respect to o.\nAnswer: -4934756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301775 is divided by 266.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 3*k**2 + 0*k**2)*(1 - 8 + 3)*(-k + 39 - 39).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9833 - -9837. Which is the second biggest value? (a) j (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 222234394 and 1?\nAnswer: 222234394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2 - 2*c + 2 + 2 + 3*c. Let f be a(0). Differentiate -3*d**2 + 3 + 5*d**f - 4 - d**2 with respect to d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*s - 117, 5*j + 5*s - s - 158 = 0. Calculate the common denominator of 19\/19 + j\/(-16) and -34\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by 126\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30267 and 37457094.\nAnswer: 3363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49.025 * -0.1.\nAnswer: 4.9025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276091, 552178, 828265, 1104352?\nAnswer: 1380439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10*25\/(-3500) - 10039\/(-14) is divided by 121?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(380))\/sqrt(10))\/(sqrt(32)*5) - (-2 + (sqrt(19) + 2*sqrt(304) + sqrt(19) - sqrt(19)) + -1))*1)**2.\nAnswer: -273*sqrt(19)\/5 + 158239\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*c + 2*c - 2*c)*(-c + 8*c - 14*c) + c**2 + 2*c**2 - 6*c**2)*(7 - c - 7)*(c**2 - c**2 - c**2).\nAnswer: 11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from susuujoooou. Give prob of picking 2 o.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2408.4 times 0.19?\nAnswer: -457.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(0*v + 6*v - 4*v)*(4 + 0 + 8)*(-3 - 7 + 3)*(10*v**3 - 7*v**3 + 13*v**3).\nAnswer: 2688*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 1 - 16*d**2 + 17*d**2 - 3*d. Let p be s(3). Which is the closest to 0? (a) p (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 220 = 3*x. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8768 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-8)*x**(-8)*(x\/(x\/(x\/(x*x**(3\/5)))))\/(x\/(x\/x**(2\/7))) assuming x is positive.\nAnswer: x**(-591\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 2*c + 19 - 14, 4*c = -3*d - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o**5 + 12909*o**4 - 174336*o**3 - 1363476*o**2 + 11276784*o + 2094336 = 0 for o.\nAnswer: -404, -9, -2\/11, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*f = -3 - 579. Sort -2, 2, 3, f, 13 in decreasing order.\nAnswer: 13, 3, 2, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(363) + -1 + -6*(1 + sqrt(363)) + -2 + ((-2 + sqrt(363) + 4)**2 - (sqrt(363) + -1 + sqrt(363))*-4).\nAnswer: 77*sqrt(3) + 355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00351938 to 5 dps.\nAnswer: 0.00352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2 = 0, -196 - 595 = -5*m + i. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -4*z - 0*u + 4, -5*z - 5*u + 5 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/11, 2, 2\/7, 0.4, 1, -0.5 in increasing order.\nAnswer: -0.5, 2\/7, 0.4, 1, 14\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116168 and 189306.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i + 132681202 - 132681202.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 10:12 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30\/(-18))\/(-1))\/((-1)\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 5*r**4\/12 + 97*r**2. Let v(z) = 21*z**2. Determine v(o(i)).\nAnswer: 2100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 9:25 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.083 and 82.7.\nAnswer: -6.8641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -154*c**3 + 2*c**2 - 2*c + 473. Let z(l) = -l**2 + l + 1. Let o(m) = i(m) + 2*z(m). What is the first derivative of o(d) wrt d?\nAnswer: -462*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 9 = 26*u - 219 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121*5.\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -23601, 5, -3, 3, -4 in descending order.\nAnswer: 5, 3, -3, -4, -7, -23601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -31100122 (base 4) to base 10\nAnswer: -54298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017238 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/3672 and 97\/324.\nAnswer: 11016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3622336397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -21001020221020 (base 3) in base 7?\nAnswer: -43554600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468*o + 273 = 475*o. Let m(s) = -126*s + 44*s + o*s + 44*s. Let v(b) = 4*b + 1. Determine -5*m(w) + v(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from rrriiihgbyry.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 655 - 611. Let d be (11\/(-4))\/((-4)\/16). What is the highest common divisor of d and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 12, -18, -68, -144?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p = 8*p - 15*p - 39. Determine h so that 14\/5*h**2 + 72\/5 - 1\/5*h**p - 12*h = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a9a (base 12) to base 14.\nAnswer: -3130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*g - 1, 3*g = -3*q + 5*g + 8. Let v(n) = n**3 - 2*n**2 + n - 2. Let d be v(q). Solve -2*c = -d*c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + q. Let j(t) = -5*t**3 + 6*t. Suppose 0 = -5*m - 2 + 7. Calculate m*j(n) - 6*x(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 344, -21, 3, -2, 62 in descending order.\nAnswer: 344, 62, 3, -2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 0*q**3 + 0*q**2 - 1\/98*q**7 + 2*q + 3\/70*q**6 + 1\/28*q**4 - 9\/140*q**5 + 0. Suppose f(d) = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40068 and 3021.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/12)\/(135\/(-24))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 11102182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Suppose 316 = -k*c - 94. Is 3 a factor of c\/(-25) - (-1)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 + 91. Which is the nearest to -1? (a) 6 (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 3411038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16355\/16 - -1018. Let x = -55 + 58. Calculate the common denominator of 114\/(-42) + x - 790\/168 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3\/4 - 156*b**2 - 9957*b\/4 - 8697\/2 = 0. Calculate b.\nAnswer: -13, -2, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/6)*x*x**(-3\/2))**(-1\/10)\/((x*x**(-1\/4)\/x*x)**48\/(x**5\/(x**(3\/2)\/x))) assuming x is positive.\nAnswer: x**(-472\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 20, q = 3*t - 5*t + 3. Solve 3*d = t*l - 15, l + 5 = -d - 0*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20823 - 21237. Put n, 4, -4 in decreasing order.\nAnswer: 4, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6925249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19513631 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + 3*h**2 + 21*h**4 - 3*h**3 - 21*h**4 - 4*h**4 + 4*h**4 - h**5 + (3 - 3 - 3*h)*(3*h - 3*h - 4*h**4) - 2*h + 2*h - h**5.\nAnswer: 12*h**5 - 3*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 349.11 + -347. Let f = m + 97.89. Let l = -95 + f. Which is the smallest value? (a) -1\/8 (b) -2\/15 (c) -18 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38561 + -38533. Calculate the lowest common multiple of 483 and s.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + 0*m - m + (-408 - 226 + 58)*(0 + 0 + m).\nAnswer: -578*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12756 divided by 4.\nAnswer: -3189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 780098, 780041, 779944, 779807, 779630?\nAnswer: 779413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 m, and 2 g when four letters picked without replacement from {g: 4, m: 1, e: 3, a: 2, t: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggkggggkgk. Give prob of sequence gkk.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -2*r**5\/5 - 11*r**4 + 94*r**3\/3 - 24*r**2 + 1340. Factor l(u).\nAnswer: -2*u*(u - 1)**2*(u + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2268*i**2 + 83*i - 84. Calculate j(1).\nAnswer: 2267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-81))\/(2\/(-6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 291 and 11.\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -1133*v**6\/10 + 10391*v**3\/6 - 134*v + 3. Find the second derivative of f(q) wrt q.\nAnswer: -40788*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x. Let z = -140.7 + 141. Which is the closest to x? (a) 4 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 320232330211?\nAnswer: 320232330211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + 0 + -1 + sqrt(1872) + (6*-3*sqrt(1872))**2.\nAnswer: 24*sqrt(13) + 606527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -13. Let w = d - 4. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2023101 (base 4) to base 9\nAnswer: 13203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*j**5 + 53*j**2 - 41*j + 10 wrt j.\nAnswer: -120*j**3 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 u, and 1 o when four letters picked without replacement from ggouqog.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**4 + u**4 - 5*u**2 + 23 - 44 - 72 - 6*u**3 as z*u**3 + w*u + l*u**4 + p + s*u**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*w = 151. Let b(f) = f**3 - 2*f**2 - 20*f - 92. Let l be b(-4). Let g = l - w. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -22*t + 3. Is o(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 0.5 (c) -30 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhlhlrlihmml. Give prob of picking 1 h, 1 l, 1 i, and 1 m.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhgc when four letters picked without replacement from gckghyhyl.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830888.\nAnswer: 2, 283, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3 + 244*i**2 - 2430*i - 9432 = 0. What is i?\nAnswer: -131, -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n**2 + 10*n**2 + n**2 - 8*n**2 + 7*n**2 - 7*n**2 - 21*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32927096?\nAnswer: 2, 17, 83, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -33530.1718 rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 of a hour in minutes?\nAnswer: 290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5498 - 5497.3021. Let f = -3.1 - -3.8. Let s = f - c. Round s to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.061 + -0.061. What is the closest to 4 in p, -1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 + 5*j**5 - 5*j**5 + (-4*j + j + j)*(2*j**2 - 88*j**4 + 3*j**2 + 84*j**4).\nAnswer: 7*j**5 - 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -8.02. Let q = 0.02 - u. What is the third biggest value in 5, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 - (-100)\/(-8))*(-952 - -10). What is the highest common factor of x and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -0*d + 12*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 31*l - 14. Let z be m(7). Let b = 264 + z. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 11*v. Let b(m) = 11*m - 12. Let l(o) = -21*o + 27. Let d(g) = -9*b(g) - 4*l(g). Calculate d(a(i)).\nAnswer: -165*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 1 = a, 29*u - 26*u = 4*a - 23 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1621 divide 241650575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 57.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*g = 43 + 16, q + 3*g + 8 = 0. Let v = -8 - q. Let w(y) = y**3 - 4*y**2 - 319*y + 1678. What is the lowest common multiple of v and w(17)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -1\/5, -2, -1, 1373, 85, 0.1?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/6 + 7*k**3\/6 + k**2\/2 - 85*k. Let i(u) = -3*u**2 + 8*u + 1. Calculate 4*h(q) - 3*i(q).\nAnswer: q**2 + 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 293 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*j = 1537*j - 16892 - 35599 - 13173 for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -65. Suppose -2*m + 15*m = 1781. What is the remainder when m is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 456\/60 + (-2)\/(-5). Suppose 0 = -t*r + 15*r - 70. Solve 0*m + r = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*130.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.4 - -0.4. Let v = z + 5. Let n = -27 - -26. What is the smallest value in n, -2\/13, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + a = 6 + 2, 0 = 3*r - 3*a + 6. Let s be r\/((-8)\/(-203206)) - (-51)\/(-68). What is s rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 - 8*x + 4. Let n be h(2). Suppose n = -4*d + d. What is the second derivative of d*z - 10*z**3 - 2*z - 6*z + 3*z wrt z?\nAnswer: -60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -134 - 198 - 70922*i + 70971*i. Let a be f(9). What is the greatest common divisor of a and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3570724g?\nAnswer: 357072.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*m = -19*m - 73 - 287 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80605 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-1))\/2*0. Let m = -6.61 + 34.38. Let a = m + -27.8. Which is greater: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 12)*-1*(-2)\/3. Suppose -i*c - 25 + 649 = 0. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -10, 2, 34, 92, 182, 310?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1941, 19 in ascending order.\nAnswer: 4, 19, 1941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*z = 335*z - 255 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6061, -5 in decreasing order.\nAnswer: 6061, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p**3 - 3*p**2 - 2*p. Let a(i) = -6*i**3 - 12*i**3 + 4*i**2 - 11*i**2 - 5*i + 5*i**3. Give -3*a(b) + 7*n(b).\nAnswer: -3*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1152 and 14568588.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110287998 to the nearest integer?\nAnswer: 10502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 73473*s - 2644981. Determine q(36).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -160 + 168. Let r(t) = 80*t - 280. Is 24 a factor of r(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4 = 0, -2*w + 185*o + 24 = 180*o. Solve -4*m = -7*c + 11*c + 4, -w*c - 3*m - 1 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6389, -6268, -6053, -5732, -5293?\n\"Answer: 2*n**3 + 35*n**2 + 2*n - 6428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxsxvixxvvvxydx. Give prob of picking 1 v, 1 x, 1 i, and 1 d.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 25 (b) 0.2 (c) 0.3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -499*k = -214*k - 1610820. Calculate the smallest common multiple of 60 and k.\nAnswer: 28260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 3) to base 12\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 3:30 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8 = -0, 2*y + 2 = -r. Which is the third biggest value? (a) -2 (b) y (c) 0.4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 8*w + 7. Let u be m(7). Suppose -3*f + 2*f = u. Suppose -h + 5 + 5 = f. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 16 = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpllpdpudkd. Give prob of picking 1 u and 3 d.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21)\/6)\/((-2)\/(-4)). Let u(r) = 9*r**3 + 6*r - 10*r**3 - 6*r**2 + 1 + 2*r + 0. What is u(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -682\/7 + 97. Let w = 454 - 349. Let b = 308\/3 - w. What is the third smallest value in b, u, 5, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 4185.\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 404932826 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 12*b**2 + 32*b - 55. Determine f(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1887 and 54.\nAnswer: 33966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -97?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/1131*13)\/((-24)\/(-27)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-4))\/(4\/24). Suppose 6*a - 3*a - v = 0. Solve 0 = a*f + f - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2\/(-3) - (-700)\/105 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 0.007 (c) -5 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 680.03 - 675. Let d = m - 0.03. Is 2\/7 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/3067 - 650210\/9201. Let o = q - -70. Let b(u) = -u**2 - 6*u - 3. Let n be b(-4). What is the nearest to -1 in o, n, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -382\/9?\nAnswer: -382\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 19 = p, -44*y + 24 = 4*p - 41*y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -447, 2 in increasing order.\nAnswer: -447, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -100?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a77 - 5?\nAnswer: -a7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 4. Let z be n(2). Let c(g) = -g**3 - 5*g**2 - 4*g + 3. Let r be c(z). Let q = -38 + r. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1009278 by 9.\nAnswer: 112142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 2, 5, -2, -3, -5 in decreasing order.\nAnswer: 5, 2, -2, -3, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -122, -175, -210, -221, -202, -147?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13560413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 7*x - 6. Let z be v(-3). Calculate the highest common factor of 48 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**2 - 57202120*h - 171606324 = 0. Calculate h.\nAnswer: -14300527, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*k = -0*o - 139, -3*o + 3*k + 144 = 0. Let v = o + -45. Let x(p) = -p**3 + 7*p**2 + 8*p + 11. What is the remainder when 20 is divided by x(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 161168.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, l: 3, t: 11}. Give prob of sequence tcc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d + 2*d**2 + 2\/3 - 2\/3*d**3.\nAnswer: -2*(d - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6363468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124546938.\nAnswer: 2, 3, 19, 29, 101, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 18. Let t be y(0). Do -19 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 5\/4, 3 in decreasing order.\nAnswer: 68, 3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 370 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 332039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2 - 38*u + 49. Give n(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1162 in 4, -0.64, -0.1, -2, 0.13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5614780349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - w**3 + w**3)*(-2 + 1 + 3) - 100*w**3 - 3322*w + 3322*w + 7*w - 7*w - w**3.\nAnswer: -103*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.18 - 0.02. Let k be -1 + (1\/1 - 0). What is the second biggest value in c, k, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awawwwwaaaaaaaaa. Give prob of picking 4 w.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 363748 and 21516.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1320, -1426, -1546, -1686, -1852, -2050, -2286?\nAnswer: -2566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.3*4721.\nAnswer: 91115.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 69.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**5 + 4160*m**4 = 0. What is m?\nAnswer: 0, 1040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 11:05 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**4\/4 - 199*i**3\/2 - 8225*i**2\/4 - 2964*i + 1521 = 0.\nAnswer: -39, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.4 and 0.06.\nAnswer: -0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*l - 21*s + 20*s, 0 = -9*l + s + 40 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*o**3 - 4420*o**2\/3 + 2392*o\/3 - 80 = 0. What is o?\nAnswer: -30, 2\/15, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 11, q: 9}. What is prob of picking 2 k?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*c**2 + 150461*c\/3 + 28660\/3.\nAnswer: -(c - 7165)*(21*c + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*x + 11012 - 11354. Let i(k) = k**2 + k - 1. Let s(z) = -8*z**2 - z + 3. Calculate x*i(p) - s(p).\nAnswer: 2*p**2 - 5*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2. Let l(f) = 419*f. What is l(k(g))?\nAnswer: 838*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-2)\/(-1) + -8. Let k(p) = 4*p**2 + 2*p**2 + 7 - 2*p**2 + 5*p. Let r(z) = 5*z**2 + 6*z + 8. Give c*r(u) + 7*k(u).\nAnswer: -2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 5 = -21*f. Which is the second biggest value? (a) f (b) -0.6 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 19*z**3\/6 + 193*z**2\/2 - 148*z. Let p be i(-14). Is p greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 249, 510, 771, 1032, 1293?\n\"Answer: 261*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29807303 + -103217303. Round c to the nearest one million.\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 11*l**3 - l**2 + 2*l - 1. Suppose k = 5*i - 13 - 18, -5*k = 3*i - 41. Let u = i - 6. What is d(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 209\/90 + -21\/10. Let x = 11.9 + -11.8. Let a(w) = w**2 - w. Let u be a(1). What is the closest to u in 1, i, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -3*q - 241. Calculate the smallest common multiple of q and (-48)\/10*(-2 + -3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*m**2 - 1 + 0 + 2.\nAnswer: -51*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27334 = -66*y + 26146 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**9\/22680 - u**7\/1890 + u**5\/180 - u**4\/24 + 4*u**2. Let r(x) be the second derivative of p(x). Let r(l) = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3894, 3908, 3922, 3936?\n\"Answer: 14*d + 3880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -75. Suppose 2*v - 55 = z. Let w = v - 29. Solve 4*m + 32 = w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -15*q**2 - 269*q + 2. Give d(-20).\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21195 and 42551082?\nAnswer: 212755410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 11 = 3*v + 65, 5*q - 2*v + 209 = 0. Let z = -33 - q. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 50210.3t?\nAnswer: 50210300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -14.\nAnswer: -14, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1638 + 1643. What is the smallest value in -28\/3, 1\/4, p?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1524\/54 - 4\/18. Suppose w = -0*w + h. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*y**2 + 26*y**2 + 15*y**2 as n*y + o + v*y**2 and give v.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 4014 in ascending order.\nAnswer: 4, 5, 4014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 2 (b) 0.4 (c) 0 (d) 108.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-27))\/((-3)\/6). What is the nearest to s in -4, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**4\/12 - r**3 + 20*r. Does 5 divide l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjj when three letters picked without replacement from {z: 2, v: 12, j: 5}.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2692, -2624, -2516, -2368, -2180, -1952?\n\"Answer: 20*g**2 + 8*g - 2720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*g - 2*g**5 - 30*g + 8*g**5 + (2*g**4 - 4*g**4 + g**4)*(-g + 2 - 2).\nAnswer: 7*g**5 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2759*f**4 - 1021 wrt f.\nAnswer: -11036*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/76 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 526233208?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide ((418\/(-57))\/11)\/(-2 + 77236\/38619)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3487927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**6\/42 - l**5\/35 + l**4\/14 + 6. Find f, given that d(f) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-455))\/(20\/(-50))*1\/(-6)*6.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3574, -14563, -32878, -58519, -91486?\n\"Answer: -3663*i**2 + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbrkq. Give prob of picking 1 k and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 7*p**2 - 7*p - 2. Let l be t(-6). Suppose -2*g + 1155 = l*f + f, 0 = -4*f - 2*g + 922. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 5*f - 11. Determine y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 16. Suppose 21 = -5*i - k*d, 2*i - 3*d + d + 2 = 0. Let a be 25\/5 - i\/(-3). Solve -3*v = -2*y + a, 0*y + 9 = -2*v - 5*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(33*w**2 + 0*w**2 - 4*w**2) + (w - w + w)*(2*w + 1 - 1).\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 6 - 4*f + 11 - 19.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, o: 2, p: 1, g: 4, j: 1}. Give prob of picking 1 j and 1 g.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -8*a**3 + a**2 + a + 5. Let p(v) = -7*v**3 + 4. Let w(o) = -6*d(o) + 7*p(o). Let c be w(-5). Solve 5*q = c - 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 1:11 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**5\/20 + t**4\/8 - 7*t**2. Let s = -3 + 5. Give v(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = x + 2. Let h(b) = -43*b**3 + b. What is the units digit of h(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + 2. Suppose -4*g + t = -5*k, 4*g + 3*k = 2*k + 11. Suppose 0 = y - 8 + 6. Sort g, -3, y in decreasing order.\nAnswer: g, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.4 + 4?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14421*j*y - 707*j - 10*y**2 - 10 wrt y.\nAnswer: -14421*j - 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t = -2*g + 8, t - 11 = -g. Calculate the remainder when t is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 11*y**2 - 8*y + 24. Let s be t(-10). Suppose -s*w + 2445 = w. Suppose 0 = -4*m + 5*p + w, -m = -2*p - 97 - 26. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53445 divided by -17815?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 45\/(3 - -2) - 4. Let b(k) be the third derivative of -1\/15*k**3 + 0*k + 1\/150*k**n + 0 + 0*k**4 + 2*k**2. Factor b(i).\nAnswer: 2*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1494*x - 32860. Calculate the remainder when p(22) is divided by (4\/6)\/((-2)\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47703.09 meters in micrometers?\nAnswer: 47703090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -43*j - 3. Let g be 1*((-3)\/1 + -3). Let p be y(g). Let l = -129 + p. Calculate the highest common divisor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 74, -16, -254, -712, -1462?\n\"Answer: -12*s**3 - 2*s**2 + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -52, -80, -90, -76, -32, 48, 170, 340?\n\"Answer: w**3 + 3*w**2 - 44*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 22*b + 46. Does 21 divide d(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 50106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1905.774 nanograms to grams.\nAnswer: 0.000001905774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589 = 1728*m - 729*m + 241*m - 3131 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/15*1*1. Put h, 1\/4, 2 in ascending order.\nAnswer: h, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1592 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*d = 589 - 705 - 952 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 985 a factor of 576225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 10. Let t be q(-13). Let m = 4 - t. Let g be (-2)\/m - (-84)\/(-49). Which is the smallest value? (a) -0.3 (b) g (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*r + 74, 0*r + 5*r + 5*k = -110. Let d be (12\/(-15))\/(4\/r). What is the third derivative of 4*v**3 - 4*v**2 - 3*v**4 - d*v**3 + 0*v**4 wrt v?\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7295136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 7*o - 11. Suppose -o*v + 18 = -114. Let n be v\/(-176)*(-8)\/(-66). Is n at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -55, 0 in ascending order.\nAnswer: -55, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + -13 - -2 - (-8990 + 8987) - -73?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 - 33*c - 377. Let u be s(13). Calculate the greatest common factor of u and 7020.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1148849.\nAnswer: 5\/1148849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10023216 and 441?\nAnswer: 210487536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -74*u - 343. What is y(-7)?\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*((d*d*((d\/(d*(d*d\/(d**(-1)*d))\/d))\/d)\/d)\/d)\/d*d)\/d**(4\/3) assuming d is positive.\nAnswer: d**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 + 16*y**4 + 78*y**3 + 144*y**2 + 81*y.\nAnswer: y*(y + 1)*(y + 3)**2*(y + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-one halves of a second?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3097413 = 3*j, 66*j - 67*j - 3*y = -1032432. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -16. Suppose -3*d + b + 0 - q = 0, 3*b - 24 = 3*d. Suppose 5*y + 10 = 0, 20 = -5*i - 0*y - 5*y. Are d and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -1\/70*i**7 - 1\/20*i**5 + i**3 + 0*i - i**2 + 3\/8*i**4 + 0 - 3\/40*i**6. Solve h(n) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdh when three letters picked without replacement from {d: 4, h: 4, g: 3}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1221 is divided by 201.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**3 - q**2 + 2*q - 1. Let l be w(1). Suppose 2*c = l*c - 234. What is the greatest common factor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 313656 = -40*n - 567. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1148 - 219. Let c = -801 - q. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-174)\/(-6)*(-3 - -4) and 4?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(2\/17)*b))\/b*b*b**(-16)*b*(b\/(b**(7\/6)\/b)*b)**0 assuming b is positive.\nAnswer: b**(-240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4501 is divided by 105.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/12*-2*(-3)\/12?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = 8. What is the smallest common multiple of 2 and (-2)\/(-4)*q*-20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014 a factor of 1285149512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26557954 to the nearest integer?\nAnswer: 5153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 191855*f**6 - 21*f**2 - 4*f - 23 wrt f.\nAnswer: 23022600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, 723, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21314b + -2?\nAnswer: 213149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 206568 and 17667?\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 6*p**2 + 3*p. Let t be g(-4). Let u = -22 + t. What are the prime factors of (0 + 40)*u\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p - 9. Let t be (120 - 127) + (2 - 13). Let g(k) = k - 1. What is t*g(r) + 2*l(r)?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 211.12.\nAnswer: 42.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*w + 17. Is -14 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*h = -32, -5*h + 12 = -8. Suppose -p*v + 34 = k, -k = 3*v + 3*k - 34. Solve -5*y + 2*y + 9 = -2*z, 0 = -3*y - 3*z - v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g - 17. Determine v(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d + 56 = 2*a, 3*a = 0. Suppose -q = 9 - d. Suppose 0 = -5*o - 2*t + 21, 6 = 4*o - 0*o - 2*t. Solve -o*z = -5*y - q*z, z = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcc when three letters picked without replacement from zczcdcncycnc.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, n: 6, m: 4, s: 3, w: 1}. Give prob of sequence mnw.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142*n + 4*n**5 - 1 - 5 - n**3 - 52*n + 4 wrt n?\nAnswer: 80*n**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/16 and 3*(-16)\/(-36) - (-245)\/(-60)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1280 and 337280?\nAnswer: 674560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 11:23 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(76) + sqrt(76)*-4))\/sqrt(4) + 4*(-2*sqrt(152))\/sqrt(8).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 22*t + 60. Suppose -20*z = 27 + 13. Let r = -11 - -58. Calculate the remainder when r is divided by l(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -864551, -863253, -861955, -860657?\nAnswer: -859359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/sqrt(2)*-6)\/(sqrt(28)\/sqrt(28)))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*m + 5*c - 20 = 0, -12 = -3*c. What is s in 0 - 2\/9*s**2 + m*s = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.85 - 0.15. Sort -3, a, -1\/2, 2.\nAnswer: -3, a, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.001 + 0.001. Let g = p + 23. Sort g, 0.3, -0.3 in increasing order.\nAnswer: -0.3, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-38)\/(-42))\/(2\/3). Let d = u + 95\/28. Are d and -19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 2. Suppose 24*f - 40 = 22*f. Suppose -9 = i - 4*y, y - 6 = -3*i - f. Let s = 0 - i. Determine u(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-25 - -13) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(5 + 7*h - 5) + (2 + 2*h - 2)*(-2 + 4 - 4).\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 70242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10350860629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*o*u**2*w - 16*o*u**2 + 1510*o*u*w*x - 8*o*u*w - o*w + 2*u**2*w + 284*u**2*x wrt u.\nAnswer: -14*o*w - 32*o + 4*w + 568*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**2 + 2*o**3 - 96813 + 162*o + 96813.\nAnswer: 2*o**3 + 7*o**2 + 162*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 4*a**2 + 10 - 6*a**2. Let i(o) = o**2 - 7. Let t(w) = w**2 - 5*w - 7. Let g be t(5). Let s(k) = g*i(k) - 5*m(k). Differentiate s(p) wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 10*u**3 - 2*u**2 + 2*u. Let b(w) = -30*w**3 + 7*w**2 - 7*w. What is 2*b(q) + 7*s(q)?\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m + 5*m - 29 - 23 - 2. Let j be g(6). Let l = -4007\/15 + 267. Are j and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.1654191t?\nAnswer: 165.4191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z**2 + 2 + 2*z**3 + 0 - 3*z**3 + 0*z**3. Let i be p(-9). Suppose 217 = 3*x - i*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*2 + (46 - (-9 - -50)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 36.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1 + 1 + 1). Let s = d + 0. Let t = s - -6. Let p(f) = f**2 - 3*f - 3. Determine p(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3\/7, -0.4, 9, -681 in descending order.\nAnswer: 9, -0.2, -0.4, -3\/7, -681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*g**2 + 49 - 136 - 5*g - 265*g**5 + 87 wrt g?\nAnswer: -15900*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72627106 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65668*t**2 + 330660*t**2 + 2259865*t**2.\nAnswer: 2524857*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(3\/31))**(-15)*(i\/(((i\/i**(-4\/37))\/i)\/i)*i)\/i**(-18))**(-40) assuming i is positive.\nAnswer: i**(-203720\/1147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4829*t**6 + 364*t**5 - 335*t**2 + 2*t + 4289.\nAnswer: 579480*t**3 + 21840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13665 - 0.47567. What is i rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/196*(-7)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 104.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 24*w + 214. Let f = 25 + 31. Let c = -33 + f. Is w < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/450 and -53\/225.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 51) + 43 - 60.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5717985 is divided by 2858987.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(5\/2)\/b*b*b)\/b))**(-27)*(b**(-8))**(-3\/4) assuming b is positive.\nAnswer: b**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/25))\/(k**(-1\/4)\/k)*((k\/k**(-1\/5))\/k*k)\/(k*k\/(k\/(k**11\/k))) assuming k is positive.\nAnswer: k**(-763\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.1 - -14.1. Which is the nearest to -2? (a) -4\/7 (b) y (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 0.241 (b) -15 (c) -4 (d) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 84198\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.84 + -6.4. Let g = 6.56 + l. Let d = g - 7.5. Sort -5, 0.1, -1\/7, d.\nAnswer: -5, -1\/7, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1096009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-175) - (-2)\/(-10))*(-10)\/(-98).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**2 - 30*q + 43. Let x(p) = -p**2 - 11*p + 14. Calculate -6*v(r) + 17*x(r).\nAnswer: r**2 - 7*r - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 321*u + 3. Let z(l) = 26*l**2 - 4280*l + 40. Let y(v) = 40*b(v) - 3*z(v). Let c(j) = -4*j**2 + j**2 - 7 - 2*j**2. What is y(c(p))?\nAnswer: 50*p**4 + 140*p**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.3 (c) -1\/7 (d) -4 (e) -119 (f) -0.4 (g) -5.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18120 - 17735 = -77*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**2 - 1238 + 1238 - 15*z**2 + 57*z.\nAnswer: z**2 + 57*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 2*h - 6. Let d(g) = 7*g - 5*g - 1 - 4 + g**2. Let l(u) = -7*d(u) + 6*m(u). What is l(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 - (-74 + 4 - -31)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42165 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 10 - 2 = -4*m, 782605*m - 15 = -h + 782600*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-12)*-44*24\/32?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0978759ml to litres.\nAnswer: 0.0000978759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 - -22?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -4. Suppose h*f = -i + 10 + 7, 2*f - 4 = i. Suppose -f*u + 7083 = 6*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405.141 months to years.\nAnswer: 33.76175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -224*l**3*s**3 + 2*l**2*s**3 + l*s**3 - 20*s**3 wrt l?\nAnswer: -1344*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 12 = 4*m, -2*t + 26 = -7*t + m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - -119. Calculate the remainder when i is divided by 72.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1*(sqrt(117) + 2*sqrt(117)) - sqrt(117))\/(sqrt(9)*1*1) - ((2*sqrt(1053))**2 + -1 + (-1 + 2*sqrt(1053))**2)).\nAnswer: -8427 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 55*x + 137. Determine g(-5).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -m + 120. Let y be (-3)\/m*(0 + 2). Let i = 5.4 - 6.4. What is the nearest to y in 0.2, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 2*a - 2*y - 14 = 0, -a - 15 = 5*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by -4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4\/8 - 687*u**3 - 606681*u**2\/2 - 39608352*u - 78008832 = 0. Calculate u.\nAnswer: -1254, -288, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n + 12. Suppose 0 = 3*y - 7*y - 8, v - 12 = n*y. Suppose -v = m - 4. Let j(c) = -c**3 - 2*c**2 - 3*c. What is j(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2002354127, -4004708253, -6007062379, -8009416505, -10011770631, -12014124757?\nAnswer: -14016478883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 11*d**2 - 5*d + 2. Let s = 4 + 3. Let v(g) = 6*g**2 - 3*g + 1. Determine s*v(t) - 4*j(t).\nAnswer: -2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -727, -1453, -2179, -2905?\n\"Answer: -726*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*j + 381 - 269 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.465 + 17.175. Let c = 189.41 - 193. Let z = c - x. Round z to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -106 + -5?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2486 divided by 6.\nAnswer: 1243\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (34\/(-8) - -3)*-4. Suppose -t*k + 25 = -5*o, -o + 15 = -3*o + k. Let h(q) = q**2 + 9*q - 10. Let d be h(o). Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**4\/42 + 8*a**3\/3 - 305*a**2\/7 - 620*a. Solve m(i) = 0.\nAnswer: -61, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k*u*v**2 + 194*k*u - 2*u*v**2 + 7*u*v + v**2 wrt v.\nAnswer: 2*k*u*v - 4*u*v + 7*u + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8401*r - 9554*r + 15124*r in the form s + k*r and give k.\nAnswer: -2831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4326198110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 + 5*t + 5. Let y(c) = 11*c - 2*c - 2 + 10 + 3 - 2 + 9*c**2. Let z = 14 + -14. Let o = 5 + z. What is o*s(f) - 3*y(f)?\nAnswer: -2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*z - 3*u + 32, -4*z - 4*u + 64 = 0. Let b = 33\/2 - z. Let y = 0.058 + 0.042. What is the nearest to 0 in y, b, 2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrrj when four letters picked without replacement from {c: 3, h: 4, m: 1, j: 5, r: 5, v: 2}.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 3 (b) -78 (c) -0.04 (d) 0.1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2*64\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4146 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 32?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 9*b**2. Let w(v) = 11*v + 25*v - 34*v. What is w(h(t))?\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/20 and -34\/1795.\nAnswer: 7180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 915 + -912. Let h = -1.4 - -0.4. What is the closest to h in f, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 2*q. Let y(f) = 4*f**2 + 7*f + 1. What is -14*m(c) + 4*y(c)?\nAnswer: 2*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2521\/20 + -126. Let d(f) be the third derivative of 1\/15*f**5 - 1\/24*f**4 - t*f**6 + 0*f - 1\/336*f**8 - 2*f**2 + 0*f**3 + 2\/105*f**7 + 0. Factor d(m).\nAnswer: -m*(m - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/31, -9, 23, 3\/7, -2 in ascending order.\nAnswer: -9, -2, -2\/31, 3\/7, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 769*z + 128*z - 190*z + 111*z.\nAnswer: 818*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 3*d + 12*d + 9*d - 4*d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1132 in -1\/3, 0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/54 and -5\/128046.\nAnswer: 1152414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (2 + 0 - 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -652 - -651.5. Which is the fifth biggest value? (a) p (b) 2 (c) 4 (d) 3 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -28*c. Calculate y(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:17 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = 3*v + 251. Suppose -v*u = -2673 - 943. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 0.1, -103\/2, -0.1 in ascending order.\nAnswer: -103\/2, -5, -0.1, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - 1370609193?\nAnswer: -1370609223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*w + 395 + 23. Which is greater: -81\/4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 56*m + 405. Let q be a(6). Let y(n) = n**2. Let r(l) = 7*l**2 + 3*l. Calculate q*y(t) + r(t).\nAnswer: 4*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/45 + (-17)\/(306\/(-64)). Factor -2*g - 2*g**2 + 0 + 1\/2*g**3 + 1\/2*g**u.\nAnswer: g*(g - 2)*(g + 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/8846487 and 10\/26539461.\nAnswer: 26539461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huklhhfuhff. Give prob of picking 1 l, 1 u, and 1 k.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80735312417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33598*d**4 + 479*d**3 - 816511*d + 4 wrt d.\nAnswer: -403176*d**2 + 2874*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = q - 4*w, 4*q + 0*w + w + 20 = 0. Let f = q + 11. Suppose 10*y - f*y + 5 = 0. What is the nearest to 1 in 5, y, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -193\/4 - -48. Let d = 4.2 - 6.2. Suppose 2*r - 10 = -0*r. Which is the third biggest value? (a) d (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -18*q**3 + 2*q + 1. Let b be n(-2). Let d = -139 + b. Let s(t) = -6*t**2 - 6*t + 7. Let o(p) = p**2 + p - 1. Determine d*s(h) + 10*o(h).\nAnswer: -2*h**2 - 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30191?\nAnswer: 7, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k - 15. Let y be s(-13). Let o = y + -7. Suppose 4*p - 47 = -0*p - 3*t, -o*p + 12 = -4*t. Calculate the smallest common multiple of 6 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*w**4 - 3*w**2 - 4*w**2 - 11*w**4 - 6*w**4 wrt w?\nAnswer: -552*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7490935 is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*h = 140*h - 72. Put -8, h, -3 in decreasing order.\nAnswer: h, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.30276 or 146?\nAnswer: 0.30276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, j: 3, q: 4, m: 1, h: 1}. What is prob of sequence hj?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328822*v**2 - 207*v + 207*v.\nAnswer: 328822*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 2 + 7)*(m + m - 4*m).\nAnswer: 52*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 132442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*p + 7*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - t - 1. What is d(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100013 - -202301?\nAnswer: 102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(112) + 3)**2*2 - (4*(sqrt(112) + 0) - -5*(sqrt(112) - (1 + sqrt(112))**2)).\nAnswer: -60*sqrt(7) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 6, s - 2*j - 7 = 1. Suppose -5 = -3*a - s*a. Let k be (0*(-4)\/12)\/(3\/a). Solve k = -0*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 0*b**4 - 5\/2*b**3 - 5*b + 1\/5*b**6 - 1\/10*b**5 + 0*b**2 - 5. Find the second derivative of t(q) wrt q.\nAnswer: 72*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 21 = -5*q, -3*q + 8*q - 5*i = 0. What is the third derivative of 3 + 205*f**2 - 16688*f**3 - 3 + 16691*f**q + 3*f**4 wrt f?\nAnswer: 72*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -54, 277, 1040, 2379, 4438, 7361?\nAnswer: 11292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 + -75. Let k be (1*(-5 + 1 + -1))\/d. Which is the closest to -0.035? (a) k (b) 4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31980000 to the nearest one hundred thousand.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 593045 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 u(j) be the second derivative of j**7\/280 - 7*j**5\/120 + 7*j**4\/12 + 2*j. Let q(h) be the third derivative of u(h). Find the first derivative of q(i) wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1617, -1639, -1697, -1809, -1993?\nAnswer: -2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 652*u**2 - 4*u + 652.\nAnswer: 4*(u - 163)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001002 - -22?\nAnswer: -1000320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1306428?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 807563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 - 255\/2618*133. What is the nearest to 1 in 0.5, -52, v, 5\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = 29*t - 6*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 979.5 + -980. What is the nearest to 2\/17 in -5, 3.6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/12892011 or -1?\nAnswer: -2\/12892011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -3\/5, 1\/77 in decreasing order.\nAnswer: 6, 1\/77, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -26*m. Is v(-3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12104 = 755269*y - 755091*y for y.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21098 - 14199. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 11*h - 27. What is the remainder when i(6) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 404455 (base 6) to base 16\nAnswer: 7d93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from zuhgrhfg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 255684 divided by 66\nAnswer: 3874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17115727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-14))\/1 + (-1188)\/(-1386). Solve i = -13*k + 85 - 46 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 13243.\nAnswer: 26486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**2 - 10*i**2 + 5*i**2 + 5*i**2 + 4*i**2 + 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -16*h**3 - 3*h. Let t(k) = -48*k**3 - 8*k. Give 6*t(z) - 16*w(z).\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 490\/140*(-1)\/((-14)\/40)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3333 or 3335?\nAnswer: 3333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40423, 161702, 363839, 646834, 1010687, 1455398, 1980967?\n\"Answer: 40429*p**2 - 8*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 3:39 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 877412909 to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/4, -0.3, -2\/7 in descending order.\nAnswer: 3, 3\/4, -2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1541 and 690?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**2 - 2615*g - 28267. Give r(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*t - 7*t - 13*t - t**2 to y + b*t**2 + d*t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 15, w: 2, k: 3}. Give prob of picking 2 e and 2 k.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156 + -152. Calculate the greatest common divisor of t and 244.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 6*y**2 + y - 4. Let i be n(6). Suppose h + i*h = -51. What is the common denominator of -25\/9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8281970 less than -83157?\nAnswer: 8198813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 - 73*f - 75*f - 75*f + 223*f.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-70)\/(-50))\/((-1)\/(-5)). Suppose 4 = -h + f. Solve -h*q + 16 = -2*i, -3*q + i + 31 = -4*i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -287 + 410. Suppose -438 = -3*f + h. Let r(a) = 4*a**2 - 3*a + 7. Let l be r(2). What is the greatest common factor of f and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40310 - 10341?\nAnswer: 24414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2\/7 (c) -1\/3 (d) 13 (e) 2.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21546, -21545, -21544?\n\"Answer: h - 21547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98212 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -3 (c) 1\/6 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -m - 2*x, 0 = 2*m - x - 108 - 87. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + i = 4*i - 13, 5*l = i + 29. Let f be (l\/15)\/(1\/(-9)). Let s(z) = 2*z + 2. Give s(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + -3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 129?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -6323000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5010361*w**4 - 7951131.\nAnswer: 20041444*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from udreessdevduuuedddrd. Give prob of picking 2 d and 2 r.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2214 (base 5) in base 3?\nAnswer: -102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3 - 2*b - 2 + 2. Let v = -25 - -29. Let f(o) = -o - 1. Determine v*w(n) - 10*f(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -28. Let a be (q\/(-14))\/(10\/(-35)). Is ((-7)\/(-7))\/(a\/1262) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1915.762 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4623 - -4645. Let j(w) be the first derivative of w**4\/4 + 5*w**3\/3 + 5*w + 3. Let q be j(-4). Solve 5*b + 2*f + q = 0, 0 = -b + 5*b - f + r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -469 by 3211.\nAnswer: -469\/3211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (0 - -6) - 13. Let n be 111\/6 + -1 + (-2)\/(-4). Calculate the remainder when 63 is divided by n\/h - (-1 - 17).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -8*c**3\/3 + 36644*c**2 + 714872*c\/3 + 109984 = 0?\nAnswer: -6, -1\/2, 13748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 5 (c) -2\/5 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24752 divided by 1547.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2017, 4014, 6001, 7972, 9921, 11842?\nAnswer: 13729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q - 98 + 98 - 3*q - 3*q + 4*q + (0*q + q + q)*(-5 + 4 + 0) + 1 - 2*q - 1 to v*q + r and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z**3 + 10*z**2 + z - 2. Let h(t) = -20*t**3 + 30*t**2 + 3*t - 7. Let f(s) = 17*c(s) - 6*h(s). Let g be f(7). Is -147 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12441403433 - 1?\nAnswer: -12441403434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 7 = -8*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**3 - w**2 + w + 2. Let x(z) = -6*z**3 - 2*z**2 - 94*z + 4. Give 2*t(j) - x(j).\nAnswer: 2*j**3 + 96*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.3 less than 0.5?\nAnswer: -115.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + 1.1.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/(-104)*208\/16?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61431 (base 8) in base 16?\nAnswer: 6319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**6\/180 - z**5\/24 - z**4\/8 - 7*z**3\/36 - z**2\/6 + 30*z. Determine v, given that f(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*g - 0, 2 = -t - 2*g. Solve 0 = -t*n - 4*n + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, q: 6, f: 10, c: 2, p: 1}. What is prob of picking 2 q, 1 c, and 1 p?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 30.8. Let w = -0.9 - -1. Sort -0.3, v, w in descending order.\nAnswer: v, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - r - 1. Let f(c) = -4. Let d(q) = -f(q) + u(q). Suppose 17*h - 48 - 110 = -209. Determine d(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(-3)))\/(m*m**1\/m))**(-1))**(4\/7) assuming m is positive.\nAnswer: m**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 208*u + 38. Calculate x(-1).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -2*h**6\/15 + h**5\/5 - 53*h**4\/12 + 3*h + 1. What is the third derivative of t(v) wrt v?\nAnswer: -96*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19817 and 558005.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17988.9089241 less than -0.075?\nAnswer: 17988.8339241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (978\/(-126) - -8)\/(5\/2). Which is the third biggest value? (a) i (b) 0.7 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*p + 16 = 0, 15 = -5*p - 10. What is the third derivative of -20*d**2 - 9*d**3 + 5*d**2 - m*d**3 + 4*d**3 wrt d?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/1*62\/(-93)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v - 225 - 22*v - 56*v - 53*v - 855.\nAnswer: -139*v - 1080","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 4*z**2 + 5*z - 2. Let q = -5 + 10. Let j be t(q). Let b(s) = 1 + 2*s + 2*s + 0*s. What is b(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:19 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9653652.428 take away -0.1718?\nAnswer: 9653652.5998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 427026.1000574 - 427032.1. Let v = 0.05 - 6.05. Let h = k - v. Round h to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2)\/t)**18*t**5\/(t\/(t**6*t*t)))\/((t**0\/t)**(-17)*t**(3\/2)*t**(-1\/5)) assuming t is positive.\nAnswer: t**(-423\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -6654, 4.\nAnswer: -6654, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19 and 219127.\nAnswer: 219127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/4 (b) 2 (c) 6 (d) -1\/30 (e) 0.3 (f) -3 (g) -0.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = 12*i + 20 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x + 2*x)*(-2*x + 16*x - 3*x)*((x**2 - 3*x**2 + 0*x**2)*(-3*x + 3*x - 2*x) - 2*x**3 + 0*x**2 + 0*x**2 - 5*x**3 + x**3 + 5*x**3).\nAnswer: 33*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*x = -936, -d - 4*x + 192 = -2*x. Suppose -51 = -2*r - 47. Suppose 2*v - 6*v = -r*n + d, -5*n + 4*v = -436. Does 28 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/7)\/b**(1\/3) assuming b is positive.\nAnswer: b**(-19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) 3\/4 (c) 0.2 (d) 2\/5 (e) 1\/523\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 7056737797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-38)\/(-6))\/(9\/(-27)). Let l = k + 95. Let n = l - 32. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -793 - -5?\nAnswer: -78b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -55. Let k = 0.031 - -5.269. Let p = k - j. Sort 2, p, -2\/3 in descending order.\nAnswer: 2, p, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 > 111\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -5*c + 381. Suppose -c - 27 = 5*w. What are the prime factors of (-3)\/(-6) - w\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/(-9) + 168\/(-378). Let y be ((-40)\/(-30))\/(h + 0). Let k = 7 - 4. What is the third smallest value in 0.2, y, 2\/17, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53296, -53593, -54092, -54793, -55696?\nAnswer: -56801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 60*h - 583. What is x(9)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 9, -165, 0 in descending order.\nAnswer: 9, 4, 2, 0, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 2*q**2 + 33*q - 9. Let t be m(-7). Suppose -5*f + 20 = 5*u, 5*u = 7*u + f - 3. Sort t, 1, u in ascending order.\nAnswer: u, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2136 + -6924?\nAnswer: -4799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 5094 and 4918 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3349133 and -1.1.\nAnswer: 3684046.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d + u = -4691, d + 4*u - 1160 = 0. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1398 (b) 11 (c) 144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -31\/6993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 3*h = 4*i + 6, -3*i + 4*h = -41. Suppose 0 = i*j - 4114 + 425. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -55*z**2 + 251*z - 708. What is r(8)?\nAnswer: -2220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151620 + 152664 = 29*q for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 182 and -1159512385740.\nAnswer: -1159512385558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**2 + 19*v + 3. Let y be c(-1). Let m be (4\/(-10))\/(6\/(-327)). Let g = y + m. What is the second smallest value in g, 4, 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*p - 0*p + 11, 2*l = 8. Let d = p - -43. Let q = -3 + d. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-6)*4\/(-2). Put 5, b, 7 in descending order.\nAnswer: 7, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**8\/840 + w**7\/210 - w**6\/45 - 2*w**5\/15 - 7*w**3\/2 + 19*w. Let n(j) be the second derivative of c(j). Factor n(y).\nAnswer: 2*y*(y - 2)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -13*m + 10*m. Let c be ((-3)\/5 - (-10)\/100)*m. Suppose c*l + 12 = 0, 5*o - l - 2 = 56. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 8\/51, 1.878, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 272*k**3 - 197*k**3 - 158*k**3 - 1401*k**3 - 327*k**3 - 1493 wrt k?\nAnswer: -5433*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4631, 4636, 4641?\nAnswer: 4646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1404 + -1118. Calculate the least common multiple of l and 130.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4880 divide 1228164240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1378 and 2968.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11201886 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvcvvvcpccccpcccvcv. What is prob of sequence vcpc?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27549?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -136904\nAnswer: -821424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 6084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 4\/7, 0.036?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-2)*-4 - 129\/48 and (-44 - (-2)\/2)\/(-20).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 + 21*y - 10. Determine q(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/14)\/((-62)\/217)*516\/9*-1?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.3, -3, 49.\nAnswer: -3, 2.3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by (-7)\/84 - 1518\/(-72).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9105748 or -9105756?\nAnswer: -9105748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, 81410748, 0.3 in decreasing order.\nAnswer: 81410748, 0.3, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.42 + -0.12. Let m = -2 - -1.5. What is the biggest value in -0.2, m, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/10 and -133\/102310902.\nAnswer: 511554510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**4 - u**4 + 4*u**4 + (-3*u**2 - 2*u**2 + 3*u**2)*(-11*u**2 + 0*u**2 - 15*u**2).\nAnswer: 50*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 652 and 225103.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*a**5*v - 4*a**3*v**3 - 2*a*v**3 + 14 wrt a.\nAnswer: 180*a**3*v - 24*a*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*d = -9 + 1, -4 = -4*d. Suppose y*j - 12 = 4*t, 3*t + 2*j - 5 + 0 = 0. Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 14*u**2 - 16*u - 28. Let s be z(-13). Let x(a) = -a**2 + 10*a + 22. Let g be x(s). Solve 3*y = 2*q - 16, -4*q + y + g = -1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 9) in base 3?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3117426.\nAnswer: 2, 3, 13, 17, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*112\/80*10*78\/(-24).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 a when two letters picked without replacement from ejnaxxc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -17 - 37. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6944588801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {a: 1, t: 3, i: 3, h: 1, q: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 200114323 a multiple of 3623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3931937 kilograms in micrograms?\nAnswer: 393193700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**2 - 2*l**2 - 4*l + 3*l)*(14*l**2 + 18*l**2 - 39*l**2) as c*l**4 + j*l + u*l**2 + v*l**3 + m and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408225 is divided by 1620.\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5400, -10458, -15516, -20574, -25632?\nAnswer: -30690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 0*i - 5\/3*i**3 + 0 - 17\/120*i**5 - i**2 + 0*i**4. Let d(j) be the first derivative of r(j). Let s(k) = k**2. Give d(s(a)).\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49363\/8 - 6178. Let l = 80883443\/10 + -8095987. Let w = -7650 - l. Find the common denominator of d and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/((y**(-2\/13)\/y*y*y)\/y))\/y))\/y**(-6))**(4\/7)*(y**0\/y**(-5\/2))\/((y*y**1)\/y)**(1\/28) assuming y is positive.\nAnswer: y**(2321\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30, 55, 80?\n\"Answer: 25*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**3 + 34*r**2*t**3 - 433*r - 771263*t**3 wrt r.\nAnswer: -6*r**2 + 68*r*t**3 - 433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 5*d - 28. Let k be b(5). Calculate the common denominator of -37\/8 and ((-345)\/87 + 4)*k.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*x**5\/5 + 84*x**4\/5 + 54*x**3\/5 + 8*x**2\/5.\nAnswer: 2*x**2*(x + 1)**2*(19*x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/424893188?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m - 3. Let d(l) = -9*l**2 - 9*l. Calculate z(d(o)).\nAnswer: 81*o**2 + 81*o - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 173205 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 + 8*c**3 + 6*c**3 + 59 - 2*c as m*c**3 + w + l*c + y*c**2 and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 - f - 1. Let s(w) = -38 + 18 - 2*w**2 + 20. Give 2*a(p) + 5*s(p).\nAnswer: -2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248477?\nAnswer: 248477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - r**2 + r - 14. Let c be (-2 + 2)\/(2 - -1). Calculate q(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((645\/18)\/(-43))\/(45\/(-12))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -750 divided by -150.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(18\/1))\/11)\/((-88)\/(-2376))?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 + 5*m**2 - 5*m**2 + (-m + 0*m - m)*(-3 - 3*m + 3).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25654.14384 rounded to the nearest integer?\nAnswer: 25654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -383259 + -245?\nAnswer: -383504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114896 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b - 6. Let y(g) = 6*g**b + 2*g - g - 3 + 2*g. Let k(f) = 17*f**2 + 8*f - 8. Let p(r) = 3*k(r) - 8*y(r). Let m(a) = 2*a. Give p(m(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16531200 divided by 1792.\nAnswer: 9225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4583248, -4583248, -4583250, -4583254, -4583260?\n\"Answer: -z**2 + 3*z - 4583250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1090 = 3*m - 4*s, -4*s = 2*m - 2204. Suppose m = 5*t + 4*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -96. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-5*252\/(-10). Let x(y) = y**2 - y - 6. Let a be x(-4). Suppose a*n - 123 = 73. What is the highest common divisor of q and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -316416, -316330, -316184, -315978, -315712, -315386, -315000?\n\"Answer: 30*a**2 - 4*a - 316442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 17 = -19. Let v(u) = u**3 + 11*u**2 - 9*u + 19. Let o be v(l). Suppose -2*c + 4*c = 3*p + 524, o = c - 5*p. What are the prime factors of c?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245, -997, -2259, -4037, -6337, -9165, -12527, -16429?\nAnswer: -20877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -572, -1142, -1712, -2282?\n\"Answer: -570*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 200 - 328 + 145*a**2 + 127 to the form c + k*a + z*a**2 and give z.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 21*h = 4*v - 257, 2*v - 3*h = 129. What is the tens digit of (v\/9)\/7 - 121*-4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140749, -140697, -140601, -140449, -140229?\nAnswer: -139929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 27*k**5 - 17004*k**4 + 29835*k**3 + 194310*k**2 - 161952*k - 45216 = 0?\nAnswer: -3, -2\/9, 1, 4, 628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 54384767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*u - 8. Suppose -6 = u*c, q + 4*c = -2 + 6. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.042 times 1\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 12508268*t - 3 - 12508277*t + 4 + 1.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*n - 3*w + 40, -15 = 3*w. Let y(p) = 3*p**2 + 37*p - 5. What is the remainder when 566 is divided by y(n)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 4*y + 10. Let i be x(-4). Suppose -14 - i = -2*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 752 divide 26953184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 19. Let u be ((-10)\/6)\/(4\/(-24)) + -5. Solve 5*c - r = -11, -4*c + 2*r - u + k = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5 - 5 + 17 + 2*m. Let x be j(-6). Calculate the common denominator of 5\/x*94\/(-44) and -56\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6 - 10 = -3*p, -4*s + 16 = 0. Let u be p*(-2 + -1 - -2). Suppose 2*w - 5*d = -187, u*d - 2*d + 6 = 0. Round w to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 10:02 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 28225758 divided by 22\nAnswer: 1282989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -6. Let x = v + -1.1. Let h = -0.1 - x. Which is the closest to h? (a) 0.3 (b) 0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*c + 5*q, c - 3*q + q = 16. Let w = c + -110\/7. What is x in 0 + w*x - 2\/7*x**3 + 2\/7*x**4 - 2\/7*x**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*l**3 - 137*l**4 - 142*l**4 + l**2 + 271*l**4 to d*l**2 + o*l + w + i*l**4 + j*l**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 + 10*f + 12. Let c = -12534 + 12527. Let z(g) = -2*g**3 + 5*g + 6. Determine c*z(o) + 4*w(o).\nAnswer: 2*o**3 + 5*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/12 - 3)*-3. Suppose -2*t + k*a + 28 = -0*t, 3*a - 57 = -5*t. Calculate the remainder when 20 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154879.9 litres to millilitres.\nAnswer: 154879900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254132 is divided by 15883?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 101*d = 104*d + 4, -4*d - 36 = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from hiiigigggg?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 21*p**2 - 7*p + 3433. Let g(s) = 115*s**2 - 32*s + 17164. Let q(z) = -11*b(z) + 2*g(z). Find the first derivative of q(v) wrt v.\nAnswer: -2*v + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.43 - 0.24. Let q = v + -3.19. Is -11 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let w(q) be the third derivative of 7*q**4\/24 + 6*q**2. Determine d(w(l)).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 453 - 448 - (33 + -2 - (0 - -2))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 r when four letters picked without replacement from gerrigrr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zskdkkkkyss. Give prob of picking 3 k.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 55 - 9 = 2*t, 0 = 2*t + u - 49. Suppose 0 = -b - h + 8, 0 = 4*b - 2*b + 4*h - t. Solve o - 2*f = -f - b, 5*f + 15 = -5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 1553?\nAnswer: -1560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -67*o - 18. Let v(n) = -n**2. Determine v(j(w)).\nAnswer: -4489*w**2 - 2412*w - 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/5)*y*y*y**(-2))**(-1\/34) assuming y is positive.\nAnswer: y**(1\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - w - 3*w = -1, 3*z + 4*w - 7 = 0. What is the hundreds digit of 2 + (122 - -1) - z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2. Let x be (-1 + 2\/5)\/(95\/(-7125)). Let w(t) = -99*t + 62*t + x*t. What is w(v(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 10*m**2 + 21*m + 7. Is 19 a factor of u(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 7. Let b(q) = 2*q**2 + 2*q - 5. Let d(n) = -b(n) + h(n). Let k(m) = -2*m - 1. Give -4*d(z) + 5*k(z).\nAnswer: 4*z**2 - 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u)**(-2\/7)\/(u**(-1\/7)\/u*u\/(u*u\/u**(-4\/3))))\/(u**(-5)*((u**(-2\/17)*u)\/u)\/u*u**(-2\/9)\/u**3) assuming u is positive.\nAnswer: u**(14338\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-1))\/((-9)\/(-6)). Let a(k) = -4*k - 3. Let b be a(-2). Suppose -2*l - b = -l. What is the nearest to f in 5, l, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*u - 186, -4*o = u - 207 + 29. Let r = 47 - o. Is (-1472)\/(-2) - (r - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 12, 4632, -9\/11, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**3 + n. Let l = 4 - 5. Let s be v(l). Suppose s*x + x = 16. Calculate the lowest common multiple of x and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.7101 - 4.7. Let i = -14697 - -14697.010363. Let y = x - i. Round y to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/z)**(-11\/4)*z*z\/(z**(-31)*z)*z*(z\/z**13)\/z assuming z is positive.\nAnswer: z**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 143*l**2 - 367*l - 62. Let d be s(74). Calculate the greatest common divisor of d and 720.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 5)*(2 - 4*k**3 + 2 + 5*k**3).\nAnswer: -2*k**3 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h**(-1\/3)*h)*h*h))**(1\/22)*h**(-11)*h**(6\/11))**(5\/6) assuming h is positive.\nAnswer: h**(-3455\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*u = -y - 1891, y - 3*u = 1916. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 602.1884ns?\nAnswer: 0.0000006021884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4*t**3 - 2 + 4*t**3 - 42*t**3.\nAnswer: -42*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*q - 822 = 802. Calculate the smallest common multiple of q and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 11:24 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 77?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1700 divided by -6?\nAnswer: 850\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/8*(6 + -2) - 1. Let f(j) = 2*j**2 - 4*j - 7 - 4*j**i + 4 + 2. Let z(k) = -k. Let g = -15 - -9. Determine g*z(t) + f(t).\nAnswer: -2*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 190 and 4563\/156 + -29 - (36474\/8)\/(-3).\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1224, -2449, -3674, -4899, -6124, -7349?\nAnswer: -8574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5221 + 3*d**3 - 2*d**2 - 5*d**3 - 4275 + 2*d + 4*d**2 in the form h*d**3 + y + i*d**2 + x*d and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1034 + -1028. Let q be 14\/4*(-4)\/7. What is the nearest to 3\/7 in q, l, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 9.2285122 to 1 decimal place.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5)*(-3*j**3 - j**3 + 0*j**3)*(44*j**2 - 830 + 830).\nAnswer: -528*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 92 or 77?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((4\/39)\/4)\/(15\/(-135)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from pppprrrpppprpp?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-3)\/(-54))\/((-175)\/225)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21120111211 (base 3) in base 2?\nAnswer: 100100011001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 10:17 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*n**2 + 3 + 21*n**2 - n**3 - 7*n**2 as q*n**3 + w + a*n + l*n**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 - 1 = 0. Let k = 6 - g. Let p = k - -6. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 4 - (-5 - (-1 + -1 + -7))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 12. Let q be o(-6). Suppose q = 3*k - 10 - 2. Factor -k*m**2 + 2*m**3 - 2*m**5 + 2*m**4 + 3*m**2 - m**2 + 0*m**2.\nAnswer: -2*m**2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158 - -263. What is the remainder when p is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a - 20b11?\nAnswer: -20b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 5*h - 25, 2*h + 499 = -2*s + 527 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 97*g + 458. What is b(67)?\nAnswer: 6957","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*u**2 + 83*u**2 - 3 - 1255*u - 171*u**2.\nAnswer: -u**2 - 1255*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 14) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2754975 to the power of 1\/2, to the nearest integer?\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Suppose l = -2*r - 5, -7 = -l + 3*r + 8. Suppose d = -l*t + 16 - 1. Solve -t*s = -s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + 22 + -17 + -52 + -27 + 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*(sqrt(1539) + 2 + sqrt(1539))**2 - (-1*sqrt(513))\/(3*sqrt(12)))*-4.\nAnswer: -295680 - 3458*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19998\/33330*(-5)\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.27 - -2.34. Let z = l + -0.07. Is -83 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 69*g**4 + 2*g**3 + 12*g**2 - 98*g. Let t(j) = 35*j**4 + j**3 + 5*j**2 - 49*j. Let m(o) = 3*p(o) - 7*t(o). Find the third derivative of m(d) wrt d.\nAnswer: -912*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6447, -6560, -6673, -6786, -6899, -7012?\nAnswer: -7125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79738847 to the power of 1\/3, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d = -5. What is the highest common divisor of 7 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536*i**2 - 2*i**3 + 0*i**3 - 179*i**2 - 357*i**2.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(0 - 10\/(-4)). Let k = -42.724 + 43. Let x = k - 0.476. Which is the nearest to -8? (a) x (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h - 2*h + 3*h + (4 - 2*h - 4)*(-3 + 2 - 1) + 3*h - 4*h + 0*h + h - 3*h + 0*h + 23*h + 59 - 59 + h + 38*h - 3*h.\nAnswer: 59*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -921*r - 4. Let p(w) = -22*w. Give p(k(y)).\nAnswer: 20262*y + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 24*u**2 - 42*u**2 + 19*u**2 - u + 2. What is o(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3724*k + 0 + 1 + 3133*k - 7383*k as n + r*k and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 - -101\/2. Let g(k) be the second derivative of -5*k - l*k**4 - 3*k**2 + 0*k**3 + 0. What is the derivative of g(t) wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -1\/4 (b) 1 (c) 1\/14 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 2)\/2 + 24. Let r be 36\/(-9)*y\/8. Which is smaller: r or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 3*s**3 + 101539 - 2*s**3 - 101539 + 5*s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -834*n + 1210. Let c(z) = 2*z - 15. Let p(y) = 2*c(y) - v(y). What is the first derivative of p(o) wrt o?\nAnswer: 838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 9:46 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + -1)*2 + 870?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98636*w**5 + 29488*w - 1.\nAnswer: -1972720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 <= 10495\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1, 0.3, 5\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**3 + 8037*b**2 + 8040*b = 0.\nAnswer: -1, 0, 2680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26 + -11451?\nAnswer: -11477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -59*d + 1 + 14 + 58*d. Determine o(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3)*(m**(-3)*m)\/m*m\/((m\/m**(-7))\/m*m*m)*m**(15\/2) assuming m is positive.\nAnswer: m**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*q + 5. Suppose -p - 2*p - 4*l = 2, -p = -4*l - 10. Suppose 0 = p*r + q*r - 65. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 173809538?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63382568 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -790977, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*t + 15779988 = 0, -3*n + 22492843 + 1177172 = -5*t. Round n to the nearest one hundred thousand.\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**5\/4 + 3*b**3\/2 + 9*b. Find the second derivative of c(q) wrt q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56777.\nAnswer: 7, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43.3 - 43. What is q rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**4 - 8*p**2 + 4*p. Let t(v) = v**4 + v**2 - v. Let n(x) = -g(x) - 4*t(x). Find the third derivative of n(f) wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4214 = 157*o - 164*o. Let v = -595 - o. Calculate the remainder when 110 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13068)\/1386*70\/(-3). Solve 217*d = u*d - 27 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*a - 827, s + 0*s - 4*a + 151 = 0. Let t = 90 + s. Let i = -45 - t. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 8:26 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*a + 15 + 5, 0 = 2*f + a - 5. Let v = 4 - 1. Suppose f = v*d + d - 4. What is the nearest to -1\/4 in d, -0.4, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(176) + 3 + 3.\nAnswer: 10 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 0, 0.362.\nAnswer: -2\/13, 0, 0.362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-7 - 0) - 27 - (5 - 6).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -197, -208, -231, -272, -337?\n\"Answer: -f**3 - 4*f - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 202*x**2 + 2280*x + 172. Calculate u(-190).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((16\/(-10))\/(-2))*4. Solve -z - 34 = -18*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*k - 34, -1 + 3 = k. Suppose -5*n + b = 3*u, 3*n + n = 4*u + 4. Factor 10*m**2 - n*m**4 + 4*m**4 + 6*m - 2*m**3 + 10*m**3 - 2*m.\nAnswer: 2*m*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = -0*v + 3*v, 3*m - 17 = v. Let c be (4*3)\/4 - 14. Let u = 3 - c. Solve 2*l = -5*h + 2, -u = h + m*l + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188472 is divided by 153.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 - (1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*g - 3*c, 3*g - 5*c = -0 + 15. Let k be ((-12)\/(-18))\/(4\/246). Suppose 36*a = k*a. Is g equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(10) - sqrt(70)\/sqrt(28)) + ((sqrt(600)\/sqrt(48))\/sqrt(10))**2.\nAnswer: 5\/4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 423 and 4785?\nAnswer: 674685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/96036412 and 61\/28994.\nAnswer: 672254884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from {i: 7, x: 2, o: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(-3 + 5 + 0)*(1658*y**2 - 1658*y**2 - 251*y**3).\nAnswer: -502*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 6*b**2 + 267*b + 270.\nAnswer: -3*(b - 9)*(b + 1)*(b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1025 - 1022. Solve s + 12 + 1 = 3*i, i + s = z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10936, 14839, 18756, 22693, 26656, 30651?\nAnswer: 34684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2515177763.15743 + 2515219824. Let c = u + -42288.8425559. Let b = c - -228. What is b rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 28596 (b) -5 (c) -2\/5821\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 203912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86.2 + 86.1. Let t = -9533\/6825 + -828\/175. Let q = t - -37\/6. Are q and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 8*o**2 + 10*o - 5. Let d be k(9). Suppose 0 = -4*g - 12, -5*r - d*g - 12 + 5 = 0. Sort r, -4, 4 in descending order.\nAnswer: 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20729730 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405 = 334373*p - 334328*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -10)*52\/(4992\/(-120))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is c3 (base 15) in base 11?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14662 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.164308415 to 5 decimal places.\nAnswer: -0.16431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117\/4 - 2723\/100. Calculate the common denominator of v and -101\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 8. Suppose 0 = -j + 2*j - d - 265, j - 4*d = 262. Suppose 39*v = -7 - j. Determine c(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*m**2 + m**3 + m**4 - 73*m**2 + 1 - m - 8*m in the form d*m**3 + w*m**2 + r*m + p + v*m**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*f + 19 + 40*f + 58*f + 42*f - 247*f + 36*f.\nAnswer: -30*f + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Let s be o\/(4\/(-6)) + 20. Let u = -10 + s. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*m - 6 = -26, 4 = 2*v + m. Let i(x) = 4 + v*x**2 + 0*x**3 - x**3 + 4*x + 4*x**2 + 3*x**2. What is the tens digit of i(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/130*-1*10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, 28\/11, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 16*d**2 + 7903*d - 63719. Give i(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3106.885g?\nAnswer: 3106885000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**3)\/w**7)\/(w\/(w\/(w**(-4\/5)\/w))*w**(3\/5)))\/((w**(-1\/4))**(-1\/3)*w\/(w\/w**2)*w**(-1\/2)) assuming w is positive.\nAnswer: w**(-563\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(3 + 30\/(-9)). Let l(q) = -q - q + j*q. Determine l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight thirds of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + sqrt(176)*1)\/sqrt(8) + sqrt(88)\/(2*sqrt(4) + sqrt(4)))\/(sqrt(275)*-4*-5).\nAnswer: 7*sqrt(2)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5808177 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 9. Let k be m(-6). Suppose -d = -k*d - 300. Find the common denominator of 39\/4 and (2 - d\/(-9))\/(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3. Let m = 47 - 187\/4. Let h be 267\/356 - (-18)\/(-8). What is the third biggest value in h, m, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 2. Let g(i) be the third derivative of -i**4\/12 - i**3\/2 + 24*i**2. Determine -3*g(a) - 4*w(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 + 74. Calculate the remainder when 20 is divided by 2\/q + 5\/15*53.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -280370 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512875 is divided by 1051.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 90 and 90 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240955 and 5720.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**4 - 873*z**3 + 186551*z**2 + 1743273*z + 1555848 = 0.\nAnswer: -8, -1, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1221312 (base 5) to base 3\nAnswer: 1012000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47200010 to the power of 1\/3, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 59*z + z**2 - 49*z + 0*z**2 + 59*z to m*z**2 + o + q*z and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yms when three letters picked without replacement from fyssxffssyfmxyyxp?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 899729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*15\/(-135)*342\/(30\/(-5)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/9 - -26*2\/252. Let w = -0.5 - 0. Put w, -4, g in ascending order.\nAnswer: -4, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggggxggxgggxgg. Give prob of sequence gxg.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 + 5*k + 3. Let c = 50 + -54. Let d(p) = -3*p**2 - 5*p - 3. Let s(q) = c*d(q) - 3*b(q). Let v be (-1)\/4 + 11\/(-4). Calculate s(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**8\/1176 + 2*p**7\/735 - p**5\/105 + p**4\/84 - 19*p**2. Find y such that g(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbpjtptppzzkpzpjjt. Give prob of sequence jbj.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/12*15\/2. Let l be q\/2*(-1)\/2. Solve 0*u - u = -j + 5, -l = u + 3*j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5497 + 5422. Which is greater: t or -377\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9 - 6 + 7*h - 6 wrt h.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 26\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4723 (base 8) to base 2\nAnswer: 100111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1669373850 and 40.\nAnswer: 1669373890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + 2 + -7 + 1. Suppose -2*s + 24 = w*s. Find the third derivative of 4*g**s - 8*g**2 + 0*g**2 + g**6 wrt g.\nAnswer: 600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16352 (base 10) to base 15.\nAnswer: -4ca2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 2. Let g be ((-33)\/11 - (-50)\/14)*w. Solve 5*o - 9 = 2*a - 26, 4*o = -g*a - 36 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 263059.\nAnswer: -263064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2 - 2*g. Let j(f) = 16*f**2 - 7*f. Let r = -204 - -211. Give r*s(q) - 2*j(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2005*0.314.\nAnswer: -629.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 2*l**2 - 3*l - 1. Let c be s(-2). Let v be -2 - (0 - (3 - c)). Calculate the greatest common divisor of 160 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 - (-118)\/8. Find the common denominator of 21\/16 and 3\/q - (-987)\/240.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*u - 19*u - 20*u.\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36\/(-12)*4\/(-3). Suppose t - 83 = -a*h, -71 = -4*h - 0*t + 3*t. What is the remainder when 119 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -726 - 725 + 1452 + 10643*m as v*m + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -90. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 7*g - 4. Let p = 2 + -8. Let f be c(p). Let i = 1 + -1. Solve i = 3*n - f*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x**3 + 7*x**2 - 3*x + 9. Let i(s) = -11*s**3 - 11*s**2 + 5*s - 14. Let l(q) = 8*f(q) + 5*i(q). Let p = -935 + 935. Give l(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -207, -1534 in decreasing order.\nAnswer: 3, -207, -1534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1829129 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16265*j + 1955*j**2 + 1335 - 16265*j with respect to j.\nAnswer: 3910*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 51\/32, -0.5, 2, -47, -2, 5, -0.365?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 3*p - 30. Suppose 15*k + p = 16*k. Suppose 3*s + 2*u - 176 = 0, -4*u = -k*s - u + 325. What are the prime factors of s?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 12:12 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*h - 2*g + 2, h - 4 = 2*g. Let d be 183\/6 - h - 6\/(-12). Let f = d - 12. What is the greatest common divisor of f and 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 9 - 5 = 0. Suppose 68 = 2*v + 4*y, 0 = w*v - y - 46 - 63. Solve -7*i - 7 + v = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 681 (b) 155 (c) -3\/2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(0 - 2\/6)*21. Which is bigger: k or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -233807\/34 - -6879. Let z = h - 14\/17. Solve 3\/4*d**4 + 0*d - z*d**3 + 0 + 0*d**2 + 3\/4*d**5 = 0 for d.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, -3, -9 in decreasing order.\nAnswer: -3, -9, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*w**2 + 51*w**2 + 57*w**2 + 56*w**2 + 51*w**2 + 69*w**2 + 61*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 0*i**4 + 5*i + 0*i**3 + 3\/5*i**5 + 7 + 0*i**2. What is the first derivative of j(p) wrt p?\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (9\/(-45) + (-112)\/(-10)))*1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 2*j + 1. Let f be h(3). Solve f*t - s - 11 = 0, -4*s = 3*t + 10 - 42 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -5.3. Let q = -238916 + 238916.1. Let z = -0.1 + 0.1. Which is the nearest to -0.2? (a) q (b) z (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4353 + -4299. Solve -2*s - n = -11*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 864*g**6 - g**5 + 118*g**3 - 523298*g**2 + 16?\nAnswer: 103680*g**3 - 60*g**2 + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k - 28 = -77 - 221 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 72 + 23*j - 72 in the form m*j + d and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*b**3\/6 - 50*b**2\/3 + 158*b\/3 - 48.\nAnswer: (b - 2)**2*(7*b - 72)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2. Let f be v(-4). Let p = -8 + f. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01383054 to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6354874?\nAnswer: 2, 641, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 9266?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11913*q**5 - 4699*q.\nAnswer: 238260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25460 + -11194. What are the prime factors of r?\nAnswer: 2, 7, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -353*z + 10. Let l(h) = 353*h - 6. Determine -2*b(i) - 3*l(i).\nAnswer: -353*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -12*g - 8. Let s(k) = -8*k**2 + g*k**2 - 2*k**2. Let o(m) = -m. Calculate o(s(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**2 + 3\/4*y**4 + 1 - 4\/3*y**3 + y. Let l(w) = w**3 + 1. Let z(h) = l(h) - n(h). Factor z(j).\nAnswer: -2*j*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/3 (b) 0.4 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from mtgttmtgxgmtmmxmm?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 401430 + 8898582. Suppose -3*z + 2*i - w = 6*i, -5*i - 6200015 = 2*z. What is z rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 720*i**2 - 64800*i.\nAnswer: -2*i*(i - 180)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -910*c - 5. Let j(b) = -b. Determine l(j(m)).\nAnswer: 910*m - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - (-48)\/(-5). What are the prime factors of (-5)\/a*14*2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9814198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 510329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-26))\/(6\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1460584\/119 + -12274. Which is smaller: -3\/2 or j?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 + 168. Let t be ((-12 - 0)\/b)\/(16\/12). Suppose 4*f + 3*k - 11 = 0, 2*f - k - 18 = -f. Solve f*c = -a - 27, 0*c + 3*c + 21 = -t*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17346 - 17346.1. Let a be (-9)\/(-12) + -1 + -1. What is the nearest to a in 0, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3 + 55682*b**2 + 3234634*b + 46033350 = 0 for b.\nAnswer: -33, -25, 27899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {r: 2, k: 8, n: 9}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250448084 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 38. Let r(j) = j**3 + 4*j**2 - j - 8. Let p be r(s). Let n(l) = 114*l**2 - 7*l - 5. Is n(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -0.5, -6\/41, -0.4, 48, 2.\nAnswer: -75, -0.5, -0.4, -6\/41, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 520908 + 1698682 - 2*y**2 + 2857*y - 380228 + 4*y**2 + 979*y = 0.\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*m = -47*m - 234. What is the smallest common multiple of m and 18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4))**(-21)*f**6*f**(-2\/7))**(4\/23) assuming f is positive.\nAnswer: f**(13\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/2 (b) 5 (c) -2\/3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - 34 - -1 - -24?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -2*p - 101. Which is the second biggest value? (a) -1 (b) p (c) 0.079 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 359\/22 - 174\/11. Factor 1\/2*g**3 + 0 + 0*g**2 - f*g.\nAnswer: g*(g - 1)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/123197 or 0?\nAnswer: 3\/123197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -67979205 divided by -6?\nAnswer: 22659735\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -8*d. Let q(s) = -7*s. Determine q(m(v)).\nAnswer: 56*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10669 and 1137.\nAnswer: -12130653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -782842\/41 or -19095?\nAnswer: -19095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -395.73 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0677889 - -2.0676239. Let w = s + -2. What is w rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-2) - (2 - 4). Suppose h + 1 = p*h. Calculate the smallest common multiple of 33*h*(-2)\/(-6) and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.86 + -5.858963. What is t rounded to 5 decimal places?\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185655.\nAnswer: 3, 5, 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) + 3\/(-4). Let y be (16 + -16)\/(m + -1). Solve y = 3*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = -7*l + 450. Solve r + 19 = 4*q, 4*r = 4*q + 1 - l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/4)\/((-243)\/(-108))*-3)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - l = -182, -20*l + 27*l = 3*w - 56. Solve -4*n - w = -11*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a**2 - 3*a - 3. Let c(h) = 14*h**2 - 6*h - 7. Let m(g) = 4*c(g) - 9*j(g). Let d be m(2). Round d to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-14 - -9))\/(-6 - -1). Let r = j + 424. What are the prime factors of r?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -266 - -239. Let l = h + 94. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + 1 + sqrt(80) - (2*sqrt(80)*-3 + (1 + sqrt(80) + 1 - sqrt(80))))**2*4.\nAnswer: -1120*sqrt(5) + 15780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 11:20 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 135\/17 smaller than 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + sqrt(125)*2 + -3 + sqrt(125) + 1)**2.\nAnswer: -80*sqrt(5) + 2004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49638377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (48\/4)\/(-4) + 5. Let x be 2*1*d\/(-4). What is the tens digit of ((-14)\/(-28))\/(x\/(-78))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 472509.95999952 + -472510. Let m = l + 0.04. Round m to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145.23 - 115.95. What is s rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 292*a*f**3 + 20*a*f**2 + 21*a*f + 3*a + 5*f**3 - 4*f**2 - 4*f + 141 wrt f.\nAnswer: 1752*a*f + 40*a + 30*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3 + 1560*k**2 = 0. What is k?\nAnswer: 0, 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = -5*z - 7, 10 = 3*r - 2*z. Let -2\/7*w**3 - 2\/7*w**5 + 0*w**2 + 4\/7*w**r + 0*w + 0 = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29282, 30305, 32012, 34403, 37478?\n\"Answer: 342*t**2 - 3*t + 28943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from tttii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**5\/60 + w**4\/3 + 2*w**3 - 3*w**2 + 42. Let p(u) be the third derivative of x(u). Suppose 0 = j + 8. Give p(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 7 + 37 = 4*l, -4*n = -l - 44. Solve -7*r + n + 24 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, a: 3, p: 2, w: 1, l: 1, g: 1}. What is prob of sequence pg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 10*v - 8. Suppose 1 = v*i - 3. What is the smallest common multiple of 6 and ((-6)\/(-15))\/(i\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2303806 + -2303291.9546. Let v = l - 514. Round v to three decimal places.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - -7. Suppose 4*d = 4*x + 6*d - u, -x + 4*d + 9 = 0. Suppose 236 = 21*o - x*o. What are the prime factors of o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/156)\/(66\/36)*2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5078*x - 7*x**2 - 5078*x.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 20*t**2 + 23*t + 51. Determine h(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 25 = 0, -a - k + 12 = -4. Suppose 5*n - 10 = 5, 3*v + 3*n - a = 0. Suppose 0*r + 33 = v*r + 3*h, -4*r - 5*h = -39. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 3:58 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 2065.\nAnswer: 2065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 126338 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12124, -24279, -36434, -48589, -60744?\nAnswer: -72899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1465892 and 10388.\nAnswer: 3806921524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342114 is divided by 110?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*g + 0 + 2*g)*(g**3 + 3*g**3 + 0*g**3).\nAnswer: 20*g**4 + 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*n + 5*o + 105 = -82*n, 12*n = 4*o + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (-18)\/(-8))*12. Suppose d*s + 4 = -2. Let n = -6.25 + 14.25. What is the nearest to 0 in s, n, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) -4 (c) -3\/140 (d) 0.0447 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 less than -5?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3615 + -3610. What is the smallest value in 3\/4, 1, g, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Suppose -9 = r*m - 5*m. Suppose m*w = h, 4*h - 14 = 2*w + 3*w. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 275907102.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -3*y - 3*u, 187*y - 189*y - 5*u - 35 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 859 divide 9912860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 1}. Give prob of picking 2 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - 12. Let d = u + 13. Let j = d + 23.000095. What is j rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3842367?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 176 + -172. Suppose -2*j - z*j = -1116000. What is j rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -906 + 905.9987304. Round b to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -0.12 (c) 3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(5\/690995 + 1 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 8. Let c be m(4). Solve 0 = z, c*v - 12 = -5*z + z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 60, 62, 64, 66?\n\"Answer: 2*z + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, -3, -11, -21, -33, -47, -63?\n\"Answer: -y**2 - 3*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 80 - 68 = 0. Let l(q) = -2*q**2 + q + 3. Let f be l(c). List the prime factors of (7164\/(-15))\/(-4) + f\/45.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 266 and 854.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 27 - 12 = 0. Suppose -w + k = 4*f, -5*f = w - 9 - 39. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*p*u**4 + 4145*p*u**2 + 2067*p wrt u?\nAnswer: 20*p*u**3 + 8290*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-18)\/(-8)*-8. Let o be ((-3228)\/x*3)\/(2\/(-87)). Suppose -5*n - 1199 = o. What is n rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 39 = 2*q - 17, 2*w - 5*q - 7 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 - (30 + -17)) + -8.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*x + 614, -k - 73 = x + 226. Suppose 2*o + 490 = -b, 3*b + 1472 = -2*o - 3*o. Let t = x - b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 5.054, 154\/9, -1, 0.1.\nAnswer: -1, -1\/5, 0.1, 5.054, 154\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/9)*j)\/j)\/(j**(2\/7)\/j)*j**(-2)\/(j*(((j**(5\/4)*j)\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(-443\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 16) in base 8?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/9 + 17810*a\/3 - 18726212\/9.\nAnswer: 2*(a - 346)*(a + 27061)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/12 + 10\/(-12). Let r = -1 - f. Which is the closest to 1\/2? (a) 0.5 (b) 2\/13 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11101201 - -203?\nAnswer: 11102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2999 + 5842. What are the prime factors of n?\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/1*12\/24 - -2. Suppose 3*r + 9 = n*b, 0 = 5*r - 2*b + 11 - 2. What is the common denominator of 55\/2 and 1304\/2080 - r\/5?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 2:24 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/(-3) - 8478\/(-54). Calculate the greatest common divisor of 48 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 66*u + 951. Give h(23).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.093 - -0.007. Suppose -3 = -4*y - 3*n, -2*y - 3*n - n + 4 = 0. Let r = 17 - 17.4. Sort r, -1\/2, y, z in descending order.\nAnswer: z, y, r, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) 0.3 (c) 4 (d) 0.41 (e) -648244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -t - 8, 11*r = 6*r - 3*t + 27. Let x(h) be the first derivative of -1\/2*h**2 + r*h + 1. Give x(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-15)\/(-130))\/((-3)\/4).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01773960437 to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 754*j**3 + 14*j**2 + 6*j**2 - 27*j**2 + 7*j**2.\nAnswer: 754*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16862561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5075 or 1.22?\nAnswer: -2\/5075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.22, -14, 0.06, 2\/5, -3 in ascending order.\nAnswer: -14, -3, -1.22, 0.06, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/891 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4421588*m**5 + 46*m**2 - 201715*m.\nAnswer: -265295280*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71345938 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -5*q + 12, -5*h - 127 = -2*q. Let g be h\/(-21) + 2 + -3. Let m = 0.03 - 0.43. What is the nearest to -1 in m, 1, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120089\/112 - -7534\/7. Let o = 48853\/50 + -977. Find the common denominator of o and z.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/39*(-54)\/(-36). Let r = -39 + 87\/2. Let z = -4 + r. Which is the smallest value? (a) d (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 20 = 4*c. Suppose 3*f + 3*b = 6, 2*b = c*f + b + 8. Which is greater: -2\/29 or f?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.612 * 3.\nAnswer: 7.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 1 - 11. What is the remainder when 109 is divided by (-2)\/1*(-14 - p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128319, -256639, -384959?\nAnswer: -513279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -14*j**4 - 73574*j**3 - 45188366*j**2 + 32335974*j + 12925980 = 0.\nAnswer: -4545, -711, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1736.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-1)\/(-12))\/((-182)\/(-1456)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 202410.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1818 = 77*p - 74*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b + 32 = 5*t, -2*t = -2*b - 10. Calculate the least common multiple of t and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*x - 0*x. Suppose 0 = -x*z + 214 - 39. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -48*q**3 + 696*q**2 + 357*q + 45 = 0.\nAnswer: -1\/4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/2789?\nAnswer: -2\/2789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 5*m - 4*t, -4*t + 20 = 31*m - 33*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**2\/7 - 4*k + 26\/7 = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -60. Let l(t) = -t**3 - 17*t**2 + 5*t - 19. Let v be l(-17). Let u = v - -154. Solve 5*s + 5*f = u, -2*s + 4*f - 5*f + 15 = q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100101000110000 (base 2) to base 5\nAnswer: 3124020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 - 5*y**2 + 5*y + 5. Let b be l(5). Suppose -b*n + 161*n - 2700 = 0. Calculate the highest common divisor of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -329 divided by 6?\nAnswer: -329\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/3 (c) 0.89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/116343 and -23\/122094?\nAnswer: 526103046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 7. Let u be 9\/15 + (-2)\/(-5). Let z be 0*(0 - u) + -4. Give h(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4 + 7*h**3 + 17*h**2 + 17*h + 6 = 0. What is h?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 4, n: 1, k: 1, t: 9, p: 2}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -61. Let z(q) = -q**2 + 31*q - 44. Let h be z(24). Let j = h - s. Calculate the greatest common divisor of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - -51.2. Which is the fourth biggest value? (a) -4 (b) -2 (c) 36 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.295946498 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1125) + sqrt(1125) + (sqrt(1125) + 4*sqrt(1125) - sqrt(1125)) + -5*(-5*sqrt(45) + sqrt(45)))\/((sqrt(288)\/(2*sqrt(8)))\/(sqrt(100)*5)).\nAnswer: 2500*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from rsssxqwwywxss?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -9.1?\nAnswer: 1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*q**2 - 1811 + 3*q + 2*q**3 - 3*q + 1809 in the form x*q**2 + k*q + y*q**3 + p and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -28, -26, 0.2, 4, -2\/21, 9?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -6072 in ascending order.\nAnswer: -6072, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) -1\/5 (c) 2\/5 (d) -4\/29 (e) 4 (f) 0.5 (g) 617\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-28)\/((-2)\/(-2))*-1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -19, -1\/5, 125\/204, 17\/2?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95424 - -24300419.\nAnswer: 24204995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 8 and 176\/19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12821773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - ((-72585)\/(-4527) + -7). Let f = k + 49981\/35210. Calculate the common denominator of -61\/5 and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-6) - 1475\/885. Solve -a + 62*a - 549 = n for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248 and 8804?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*18\/675*-3.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 8*k + 13 = 0. Suppose -k*i - 8 = -15*i. Solve -q - i = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.5031 - -12.9031. Let x = 1.9 - 2. Which is the biggest value? (a) x (b) l (c) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**5\/80 + 67*q**4\/24 + 259*q**3\/8 + 144*q**2 + 6760*q - 2. Determine i so that w(i) = 0.\nAnswer: -128, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 - 34 + 11 - 9*w**3 - 2*w**3 + 2*w**3.\nAnswer: -w**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 255*w - 270*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 16 = -3*c, c - 30 + 12 = t. Let d be 8\/t + (-987804)\/(-84). Let b = 271759 - d. What is b rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = 8*p + 199 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4. Let t be 2\/14 - (-15)\/140. Let z = -16 - -20. What is the biggest value in t, z, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0)\/((-468)\/91 - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4603, -18408, -41415, -73624, -115035?\n\"Answer: -4601*m**2 - 2*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from prpgrrpiggpgpgp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 110102221012202 (base 3) to base 16\nAnswer: 64e4d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*w**2 + 4 + 727*w**2 - 396*w**2.\nAnswer: 680*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*j = 83*j - 360. Let s(y) = -4*y**3 + y**2 + 4*y + 2. Let a be s(-3). Let u = a - 71. What is the lowest common multiple of j and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 11:42 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29058 and 63336.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = 3*p - 13*k - 33, k - 31 = -2*p. What is the greatest common divisor of p and 1526?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**6\/24 + s**5\/30 - 2*s**2. What is the third derivative of y(k) wrt k?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459 + 4*m - 459.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2 + 8 = 0. What are the prime factors of 5 + j - -20 - 2?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - 6*r**4 + 6*r**4 + 14*r**5 + 0*r**3 + 0*r**3 - r**5 - r**5 + 0*r**3 + 0*r**3 + (2 + 2*r**2 - 2)*(0*r**2 + 0*r**2 + 2*r**3).\nAnswer: 16*r**5 + 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s = 3*i - 3, 0 = 5*s + 5*i - 35. Suppose 0 = 2*u + s*c + 3, 2*u - 3*c = 27. Suppose u*z - z = 60. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 0*k + 0*k)*(-5*k**2 + 0*k**2 + 3*k**2)*(-10 - 5*k + 10).\nAnswer: -30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 52*u + 853. What is t(11)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/23, 4, -3\/22, 7 in ascending order.\nAnswer: -2, -3\/22, -2\/23, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, 5, 2\/7, -11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-4)\/(-2)))\/((-20)\/5)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/10473470 and 73\/16?\nAnswer: 83787760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 380 - 191. Let k be -1 + -7 + 0 - (-1)\/((-7)\/(-54)). Which is smaller: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 37*m + 1229. Determine a(-15).\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s. Let n(a) be the second derivative of -a**6\/240 - a**4\/6 - 2*a. Let v(m) be the third derivative of n(m). Calculate o(v(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1648.91 + -1679. Let r = x - -30. Let b be -5*(-4)\/30 + -1. Which is greater: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 4. Suppose -4*r = 2*h - 50, 3*h - 21 = -2*r + 42. Let u = h + -11. What is the least common multiple of w(-8) and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-11)*u\/(u*u**(6\/19))*(u\/((u*(u\/(u\/(u**(-10)\/u))*u)\/u*u)\/u))**(-30) assuming u is positive.\nAnswer: u**(-6048\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3049?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5333 - -11593. What are the prime factors of i?\nAnswer: 2, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2684227 (base 10) to base 2\nAnswer: -1010001111010101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(0*c**5 - 4*c**5 + c**5) + (-2 + 3 + 3)*(-5*c**5 + 2 - 2).\nAnswer: -23*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18\/17 - -555\/476. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3025030 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 + 4*f**4 + 0*f**4 + (0*f**2 + 3*f**3 + 0*f**2)*(4*f - 3*f + f) - 2*f**4 - 3*f + 3*f.\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 is divided by 144?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - y - y - 56 = 0, 3*y = -4*p + 46. Let r be (-4)\/6 + (-14)\/(-3). Suppose -r*u = -24 - 28. What is the greatest common divisor of p and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -59a1 + -4?\nAnswer: -59a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18927 + 18928. What is the nearest to -2\/11 in 1\/2, -2\/477, f?\nAnswer: -2\/477","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + t**2 - t**2 + (1 - 1 + 2*t**2)*(-1 + 0 - 1))*(-3 + t**3 + 3).\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7390115.\nAnswer: 5, 89, 16607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -5, 4632, 0 in decreasing order.\nAnswer: 4632, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3309139106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 4*h - 4*i + 6, -h = -4*i + 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*y - 2*y + 7 = 0, 2*f - 14 = -5*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*d**3 - 11*d**3 - 88*d**3)*(d - 1 + 1).\nAnswer: -124*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 11*c**2 + 2*c. Let v(s) = 54*s**2 + 11*s. Calculate 11*f(m) - 2*v(m).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 79293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 5)*(5 - 4 - 2)*(-16 + 16 - 8*m)*(-2*m - 22*m**2 - 4*m + 23*m**2).\nAnswer: -80*m**3 + 480*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 9. Suppose y = -h*r + 52 + 83, 3*r = -y + 101. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3291393\/(-308)*2\/6. Let b = 14265\/4 + a. Calculate the common denominator of 103\/10 and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52607676 (base 8) in base 2?\nAnswer: 101010110000111110111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*u + 2, 0*g + g - 6 = u. Suppose 8*p - 9*p - m = 1, -2*p + 4*m = -4. Suppose p = -y + h + g, 2*h = -2*y - 4 + 12. Solve 9*t = y*t + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05328 + -10.16972. Round p to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17015 = 79*o + 16585 - 141751. What is the remainder when o is divided by 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414416723 to the power of 1\/4, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.67 - 1.670005. What is a rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37509056.7+0\nAnswer: 37509056.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-10))\/((-33)\/((-660)\/(-10))*11\/3)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 1. Let z(g) be the first derivative of -3*g**2 + 63*g - 25. Let s(m) = -5*a(m) - z(m). Is s(29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*l + 0*l + 10*l)*(0 - 1 - 2) to u + f*l and give f.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**4\/3 + 5*r**3\/3 + 7*r**2 + 23*r\/3 + 8\/3 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-18 + -21 + 15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16\/79 + 347\/237. Find g such that -1\/3 - 3*g**2 - 2\/3*g**4 + f*g + 7\/3*g**3 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 = i - 18, 0 = -3*i - 2*a + 67. Suppose 3*h - i = 82. Let x = h + 36. What are the prime factors of x?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -10, -98915 in ascending order.\nAnswer: -98915, -10, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 76*f**2 - 240*f - 236. Let g be j(-79). Let v(s) = s**3 - s**2 - 1. Let h(a) = a**3 - 5*a**2 - 3*a - 4. Give g*h(n) - 4*v(n).\nAnswer: -3*n**3 - n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*v, -5*v = 4*n - 4*v. Suppose 10*s - 11*s + 4 = n. Suppose 3*z = i - z - 21, 0 = -5*i - s*z + 153. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -331 - -660. Let f = 327.21 - w. What is f rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1*(42\/(-7))\/(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.4 + -8.39838. Round u to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + 240?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33432\/5 + 6658. Let t = 28 + j. Which is the second biggest value? (a) 3\/7 (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-49))\/((-1287)\/6006)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 0 + -1)*-1. Let r(j) = j**3 - j**2 - j + 1. Let o be r(2). Let b(t) = -t**3 + 3*t**2 + 3*t - 3. Let l be b(3). Solve -l*p + m = -o*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p - 51 = -51 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o - 5. Let g(q) = 20*q + 14. Let t(z) = -6*g(z) - 17*v(z). Calculate t(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -299928, -299930, -299932, -299934, -299936?\n\"Answer: -2*v - 299926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13\/5 (b) -23\/14 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -2) + (-1 - -1) + 2 + 3. What is the nearest to 303 in r, 1\/4, 3, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*c - 96, c = -46*g + 42*g + 10. What is the remainder when 5019 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -721 or -38184\/53?\nAnswer: -38184\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.8, 0, -0.7, -1\/10.\nAnswer: -0.8, -0.7, -1\/10, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -434 - -584. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 407*m - 403*m - 5*a, a = -2*m - 7 - 17 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0. Suppose 2*g - 292*h - 77 = -289*h, 0 = -g + 3*h + 49. What is the nearest to j in 4, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*s = -s + 11, -4*s + 5 = 3*o. Suppose -l - 50 = -3*k - o, 0 = 3*k + l - 37. Suppose k = t - 2*t + 4*a, 4*a = -2*t + 20. Solve -t*g = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - 19. Let d = a - -26.1. Let m = 529262 - 529261.9. Are m and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 18.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**2 - 47*p - 27. Let t(y) = -4*y**2 + 47*y + 30. Let c(i) = 5*o(i) + 4*t(i). Is 40 a factor of c(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 7*l**2 + 7*l + 2. Let a be u(8). Let f = 11 + a. Solve 2*j = f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2. Let w(v) = 362*v**2. Give w(t(b)).\nAnswer: 1448*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -1\/2*h**2 - h - 2. Let k(z) = -301934087*z - 1 + 301934090*z + 2. Determine -2*k(q) - 5*u(q).\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = 5*l - 11*u - 3370003, -l = 4*u - 673996. Round l to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 13*q**2 + 14*q + 10. What are the prime factors of f(14)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 - x**4 + 0*x**3 + (-1 - 8*x**2 + 1)*(0*x**2 - 2*x**2 - x**2).\nAnswer: 23*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n + 13 = 3*a, 35 = -5*n + 5*a. Let h be n\/(-8) + (-5)\/4. Is ((-3)\/(-2))\/(h\/(-14)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 - 57*x**2 + 4*x + 2. Let b(q) = 12*q**3 - 229*q**2 + 18*q + 9. Let m(n) = 2*b(n) - 9*w(n). Find the third derivative of m(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggunggggnggguggug. Give prob of sequence ug.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1204.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**3 - k**3 - 11*k**3 + 10*k**3 - 12*k**3.\nAnswer: -26*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 35*d = 312 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f. Let a(m) = 8*m. Suppose -2*k = 3*k - 15, 2*i - 26 = -4*k. Let w(s) = i*y(s) - 6*a(s). Let b(h) = h**2. Give w(b(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97 - 99. Is g\/(-10) + (-3334)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -146267*f + 146267*f - 450*f**3 + 35. Let z(m) = 75*m**3 - 6. What is 6*j(a) + 35*z(a)?\nAnswer: -75*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 2*x**2 + 2*x - 3. Let g be u(-3). Let k = 13 - 16. Is k smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31813*m + 103*m**2 - 207*m**2 + 105*m**2 + 31813*m.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 6:42 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3884, 7768, 11646, 15524, 19408, 23304, 27218, 31156?\nAnswer: 35124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1. Let i(w) = 4*w + 2. Let g be 3 + (4\/(-10) - 680\/425). Suppose -5*n = -1 - 4. What is g*i(r) + n*y(r)?\nAnswer: 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5*p + 185 - 100, -4*p + 44 = 4*a. Solve a = -3*s - 4*m, -s + 9*m + 6 = 5*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*h + 10837 + 18*h + 22*h + 18*h - 78*h as q*h + r and give r.\nAnswer: 10837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 185, -11543 in ascending order.\nAnswer: -11543, -3, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(1\/8)*q))\/q*q*q*q\/(q*q**(-1\/8)\/q) assuming q is positive.\nAnswer: q**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(27) + 0 + -1 + -1) + 3)**2 + -1.\nAnswer: -324*sqrt(3) + 1052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (59 + -43)*29\/4*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 81.43775mg?\nAnswer: 0.00000008143775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38030 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 5*f - 2. Let y be i(-4). Let n be (-21)\/(-4) + 0 + (-10)\/40. Solve -y*h + 4*c = -4*h + 2, 5 = n*h + 4*c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3021955 and 545090?\nAnswer: 2995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400343 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -16*k + 19*k - 35, 2*k = g + 20. Suppose 2*c = -12*v + k*v + 196, -4*c + 386 = -v. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28b1 (base 14) in base 13?\nAnswer: -3389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 38*b**3 + 7*b**2 - 32*b. Determine d(3).\nAnswer: 993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 5. Suppose 24 = j*a - 56. Let i = 2 - -1. Solve d = -i*d - a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 + 45. Let r(f) = -3*f**2 + 44. Let h(n) = -5*q(n) + 6*r(n). Differentiate h(d) with respect to d.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 10*b - 11. Let f be a(8). Suppose 18 = f*o - 12. Suppose -o = w - 2*w. What is the highest common factor of 18 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 2126 = -148. Let p = 383 - b. What is the highest common divisor of 324 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.0208 - -0.0208. What is the third biggest value in -10, -0.5, j, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**2 + q. Let m(n) = -n**3 + 9*n**2 - 7*n - 9. Let x be m(8). Determine y(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2 + 1 - -5)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 + q + 1. Let j be y(-1). Let m = -0.4526 + 3.8096. Let a = 0.357 - m. Put a, j, 14 in decreasing order.\nAnswer: 14, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2203\/5000?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 41\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -2*l - 4*r, 4*r = -0*l + 3*l + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18365 is divided by 328?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 35*j**2. Let t(i) = 4*i**2. Determine t(v(z)).\nAnswer: 4900*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -115145.3?\nAnswer: -115145.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -39627 minus 1.6?\nAnswer: -39628.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*o + 27, 5*h = -4*o - 8 + 3. Let f(q) = 7*q**2 + 7*q + 1. Is f(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1192782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.30999863 - -1.31. Round a to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117 + -74. Let v = g - -187.19. What is v rounded to one decimal place?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.104 minus 616.72?\nAnswer: -616.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 738 and 1422?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o - 166*o = 110*o - 6820 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-1)\/(-2 - 0). Let m be 1\/5 - 18\/40. Let j = 1\/2 + m. Are y and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 52091, 0.65, 0.2 in increasing order.\nAnswer: 0.2, 0.65, 3\/2, 52091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3878183 (base 9) to base 14\nAnswer: -3d214a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 1070245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -4*h - 0*d - 45, -5*h + 5*d = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 115*d**2 + 5*d - 1. Let v(b) = -47*b**2 - 2*b + 1. Let t(l) = 2*p(l) + 5*v(l). Let k(i) = 60*i**2 - 35. Calculate 2*k(r) + 25*t(r).\nAnswer: -5*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.91671 minutes in nanoseconds?\nAnswer: 5455002600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 88542082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5905387*k - 745 + 3549 - 5905385*k)*(2*k - 2*k + 5*k**2) to j + p*k + r*k**3 + q*k**2 and give q.\nAnswer: 14020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-2) + 2 + 26. Suppose 4*h = -m + 5, m + h + t = 6*m. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 1, l: 3, t: 3, c: 2}. What is prob of picking 2 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22880 and 2633280?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 - 1 - (1 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000144612629 to 7 dps.\nAnswer: -0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.73 + 12.73587. What is v rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + 0.36. Let a = 0.97 - 0.77. Put 2\/9, a, h, -3\/16 in descending order.\nAnswer: h, 2\/9, a, -3\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (-8 - -17 - -6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q + 414 - 286 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (0 - 0 - 1 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -652, -594, -536, -478, -420?\n\"Answer: 58*f - 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - f**2 - 6*f. Let v be z(3). Solve v = 3*u + 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -209\/10087350 and -89\/16380.\nAnswer: 60524100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*h**4 + 2*h**3 + 74*h**2 - 9*h + 8952915?\nAnswer: 32*h**3 + 6*h**2 + 148*h - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 6. Let p be 3046\/7568 - (-6)\/33. Let t = p + -9\/43. Which is the closest to 0? (a) 0.3 (b) t (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**2 + 459*u + 7921. Give g(91).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 + -12 + 10 + 19 + -59.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 22*x**2 + 38*x**2 to w*x**2 + c + l*x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 527*l**2 - 68*l + 68. Let c(d) be the second derivative of -13*d**4\/4 + 5*d**3\/6 - 5*d**2\/2 - 626*d. Calculate 68*c(k) + 5*p(k).\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-4)*10\/15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326123313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**3\/3 + 19*u**2\/2 - 23*u. Let n be o(4). Sort -4, n, -1 in descending order.\nAnswer: n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51024 times 0.5?\nAnswer: 25512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -18) + 2 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 345 (base 12) to base 2\nAnswer: 111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -18, -33, -54, -81, -114?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 3476768.\nAnswer: -5\/3476768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:48 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -624461 or -624784?\nAnswer: -624461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1052+686207402868\nAnswer: 686207403920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -13*f**2 - 90*f. Let r(z) = -7*z**2 - 44*z. Determine 4*c(q) - 7*r(q).\nAnswer: -3*q**2 - 52*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 509*w**2 - 60769*w - 9858. Calculate m(-318).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1449 + 0?\nAnswer: -1449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16975646, 16975648, 16975650?\n\"Answer: 2*t + 16975644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3 + (-2 - 2 + 3)*(-3 + 7 - 3) + 2 + 3 - 4 + 2 + 3 - 2)*(-f - 3*f + 6*f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p = -19*p - 512. Let j(r) = -6*r**3 - 2*r**2 + r + 3. Let w be j(-3). What is the greatest common divisor of w and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, s: 7}. What is prob of sequence yyy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -3*z - 4. Let f(s) = 71*s - 1. Let i be f(1). Calculate the highest common factor of i and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**2 + 2*h**2 + 3*h**2 + 9*h**2.\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 times 0.072254?\nAnswer: -5.202288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/9 - 212884*h\/9.\nAnswer: 2*h*(h - 106442)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**3 - 2*k**2 + 5*k**2 - k**2)*(3*k - k - 3*k).\nAnswer: -6*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, -0.5, -1590?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1799 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.029 (b) 2 (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21 (b) 296770 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a century in decades?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2289, -4583, -6899, -9243, -11621, -14039, -16503?\n\"Answer: -q**3 - 5*q**2 - 2272*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1139, 1601, 1427, 623, -805, -2851?\nAnswer: -5509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4 = 6*d, d = 5*k - 3941. List the prime factors of k.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 15953 + 5945. Is h a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**3 + 4*g**3 + 9*g - 2*g**3 to the form t*g**3 + s + j*g + h*g**2 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57377675701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 6*i. Let t(m) = -5*m**2 + 25*m - 1238. Determine t(q) + 3*v(q).\nAnswer: q**2 + 7*q - 1238","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(2299)*-3*-1 + 2*(sqrt(2299) + -3 + sqrt(2299) + 2))**2.\nAnswer: -308*sqrt(19) + 112653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -791094*s - 15821880. Give u(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-10 + 15) - 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6289, -25156, -56607, -100648, -157285, -226524?\nAnswer: -308371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, -0.0985, 1\/2.\nAnswer: -13, -0.0985, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.4 (c) -12 (d) -0.2 (e) 0.05394\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/17)*s*s)\/s)**(6\/13)\/(s\/s**(1\/5))**(-3\/28))**(-1) assuming s is positive.\nAnswer: s**(-3813\/7735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 8)*(4*k**4 + k**4 - 4*k**4) - k**4 + 3 - 3)*((2 - 5 + 2)*(0 + 0 + k) + 3 + 2*k - 3).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 6. Suppose 2*n + 2 = m. Suppose n - 3 = -z. Solve 0 = -2*p + 12 - z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**4\/8 + 5*n**3\/6 - 985*n**2. Let a(j) = 12*j**2. Determine u(a(k)).\nAnswer: -36*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(95) - 2*sqrt(95)))\/sqrt(5)*6*5.\nAnswer: 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {e: 1, p: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164 + 164. Let s be (-4)\/(-10) + (-397438)\/(-5). Suppose -63604 = -r*b + 4*b - k, -3*k - s = 5*b. What is b rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 40 = -11610*t + 11608*t, -4*t = -3*v - 9*t - 43 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 31 = 5*d. Let y be (-2 + 0)\/((-4)\/d). Calculate the greatest common factor of y and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(15) - (sqrt(180)*-2)\/sqrt(12))\/sqrt(3) + -2 - ((sqrt(45) - (sqrt(45) + sqrt(405)*2))\/(sqrt(81)\/(sqrt(9) + sqrt(9)*-2)))**2).\nAnswer: -18*sqrt(5) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-6)\/(-20)) + (-662 - -688)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 3*l - 3*h, 0 = 2*l - 3*l + 2*h + 71. What is the greatest common factor of l and 1143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -213 + 213.15. Let q = 0.1905 - w. Round q to 3 dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + k + 5, -270*f = -265*f + 2*k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 41 = -5*y, -5*y + 0 = -w - 53. Let d be (-77)\/(-5) + (-4)\/y. Solve -2*b + 5*b = -2*i + d, 3 = 4*i - 3*b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -83*i**2 + 5*i + 3. Give u(-1).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u**3 + 364*u**2 - 364*u + 374. Determine f(51).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**3 - 4*y**2 - 14*y - 4. Let p(b) = 19*b**3 - 11*b**2 - 41*b - 10. Calculate 8*a(c) - 3*p(c).\nAnswer: -9*c**3 + c**2 + 11*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 - -1) - (0 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 84\/15 - 4\/(-10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.87 from 1729.465123.\nAnswer: 1728.595123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09862 - -1.90138. Do p and -2217 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 x, and 1 i when three letters picked without replacement from {i: 1, d: 8, x: 2, r: 4}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*p**5 + 15*p**4 - 5*p**3 - 2*p**2 - 353*p + 2.\nAnswer: 1320*p**2 + 360*p - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 26.5. Let o = 2.768 + -0.068. Let z = o - 5.7. Sort 3, c, z in ascending order.\nAnswer: z, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 44594?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 = 0, 0 = -8*x + 13*x + 3*h + 138. Is -153\/5 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**5 - 2357601*k**3 + k**2 + 5986207*k?\nAnswer: 40*k**3 - 14145606*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - -16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 40658, 3, -4, 4, -11, 11 in descending order.\nAnswer: 40658, 11, 4, 3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12 + 4)*-17*2\/8. Suppose 70*w - 2577 = 12893. Calculate the greatest common factor of w and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 10426*k + 604713. Calculate d(-58).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + -19 + -66 - -160?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 166422656, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4 + 74. Let z be 8\/i + 90\/(-378). Which is smaller: -2\/17 or z?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**3 - 16*n**2 + 2*n + 9. Let h(w) = w**3 + 5*w**2 - w - 4. Let m(s) = -11*h(s) - 4*u(s). List the prime factors of m(-4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24589.62 kilograms in tonnes?\nAnswer: 24.58962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/27079 and 109\/130.\nAnswer: 270790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 3*m**2 + 5*m. Let g(q) = q. Let y(t) = -4*g(t) + p(t). Let v be y(2). Is 13*v + -1 - -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 250003640?\nAnswer: -250003634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 704327 and 221.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/297)\/(2\/(-55)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/9 - 82970*c**2\/3 - 10955744*c\/9 - 6971944\/3 = 0. Calculate c.\nAnswer: -42, -2, 124499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 6:11 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1, 3296?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a - 5*f = -25, -5*f = -5*a - 15. Let v be 2\/4 - (-12)\/8. Let l = a + v. Calculate the highest common factor of l and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**7\/i)**(-1\/32)*(i\/(i*i\/(i\/i**(-1\/14))))**(-49) assuming i is positive.\nAnswer: i**(-119\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -p - 4*c, -5*c + 10*c - 25 = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**11*s))\/(s*s**(-8\/5)))**10 assuming s is positive.\nAnswer: s**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 54, 37, 2, -57, -146?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 171*x**2 + 10*x + 35. Is n(-5) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*k = -9*u - 45, 9*u + 1755*k - 1756*k = -51 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 2 = -198. Let p(l) = l**3 + 7*l**2 + 7*l - 1. Calculate the remainder when m is divided by p(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 664.0234 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 966293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13316 (base 8) to base 4\nAnswer: -1123032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000737124 to 5 decimal places.\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven quarters of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/45)\/((-10)\/45)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*x - 63 = -40*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, l: 14}. Give prob of picking 1 l and 1 e.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 12*s - 486. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014615 rounded to 7 dps?\nAnswer: 0.0000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 346*p + 164547. Give u(-614).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80965 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27825114736200 plus 2?\nAnswer: 27825114736202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 2\/13 (c) -2\/7 (d) 1 (e) 38\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 times 0.13?\nAnswer: 14.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*b = -13, 4*u - 5*b = -3*b + 2. Let i be 0 + -91 + (u - 0). Let o = 130 + i. Calculate the remainder when o is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3548 + 3527.99. Let n = 20 + c. Let k = n + 0.11. Put 1\/3, 1\/7, k in decreasing order.\nAnswer: 1\/3, 1\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/(sqrt(3) + sqrt(24)\/sqrt(8) + sqrt(3))*3)**2 - (-1*((sqrt(30)\/sqrt(3))\/sqrt(5) + sqrt(2)))**2) + -5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22 - 4.1191194\nAnswer: -26.1191194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-2 - ((8 - (1 + 0 - 2)) + -7))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/15)*l**(-1\/4)*l)**(25\/3)\/(((l\/(l*l**(-2\/27)*l*l*l)*l)\/l**(-6))\/((l\/l**(-2\/7))\/((l*(l\/(l\/(l\/l**1)*l)*l)\/l)\/l))) assuming l is positive.\nAnswer: l**(2533\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + a + 1280. Calculate c(0).\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 23*n - 295. Let b be s(13). Suppose 78 - 414 = -4*p. Let x be p\/22 - (-4)\/22. Solve x = -4*j - b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/2)\/5*0. Suppose -2*d + 12 = o, t = -o + 2*d - 4. Suppose 0*p - o*p - l + 49 = 0, -4*l - 8 = -p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4844526 and 1521474?\nAnswer: 6366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11456 + 17993. Suppose z = 4*m - 703. What is m rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 + 240\/938. Let u = -12851 + 12854. Put u, -2, m, -1 in descending order.\nAnswer: u, m, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -117642?\nAnswer: -117642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l - 5. Let a(o) = o - 1. Let d(y) = -5*a(y) + c(y). Let i(w) = 17*w + 4. Let g(k) = -33*k - 9. Let h(z) = -4*g(z) - 9*i(z). Give d(h(s)).\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + 3*x - x)*(22 - 14 - 9) in the form w + k*x and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 1. Let p be -2*10\/(-4) + (0 - 1). Suppose 17 = -3*o + x + 13, -2*o = -2*x - p. Let v(h) = -h - 2. Calculate o*w(i) - 2*v(i).\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 244145360 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -3126?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -y + a + 76, -304 = -4*y - 5*a. Let o = -186 - -194. Calculate the remainder when y is divided by 37 + (o - (-4 - -10)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -717 (base 11) to base 8.\nAnswer: -1541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 10 = -3*p. Suppose p*t + 9 = -3. What is the nearest to -0.2 in t, 1\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29376 and 432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2 + 64*u. Let y(c) = -4*c. Calculate i(y(a)).\nAnswer: 96*a**2 - 256*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29365958579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7544?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*i + 7136 = 21494, -y = 5*i - 4786. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10645650 divided by -2.\nAnswer: 5322825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -49885 and -7.8573?\nAnswer: 49877.1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61363 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369847530.\nAnswer: 2, 3, 5, 13, 316109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3 - 6*x**2 - 9*x = 0. Calculate x.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 98, 439, 1296, 2915, 5542, 9423?\n\"Answer: 41*z**3 + 12*z**2 + 18*z + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 5, 5\/3, -1\/5, 0.3, -0.65, -13921?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -908, -1554, -2248, -2990, -3780?\nAnswer: -4618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3744) - 2*-2*sqrt(3744) - 2*sqrt(3744)*2)\/(sqrt(98) - (sqrt(98)*1 - sqrt(98))*-5 - (sqrt(98) + 6*(2*sqrt(98) + sqrt(98)))).\nAnswer: -2*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 11 + -2 + 4 + 10 + 1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1927*r + 9936 = 961*r + 967*r. What are the prime factors of r?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119665 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 18*w**2 - 6*w - 26. Let k(h) = -4*h**2 - h - 3. Let x(a) = -9*k(a) + n(a). What is x(-1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.2? (a) -2 (b) 2\/15 (c) -1\/2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*p + 29 - 8, 3*p + v + 11 = 0. Let s be ((-1 - -1) + p)*-2. Let l = s - 60. Round l to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 + 4*a. Let o be i(-7). Suppose -4*s - 8 = 0, -o = -5*w + 5*s + 282. Suppose 19 = -k + w. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4429 - 2228 - 2127 + 3*a**3 - 4*a**3.\nAnswer: -a**3 + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 3*b + 13. Suppose 1379*o - 54 = 1385*o. Give c(o).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 103*g**2 + 0 - 46*g**2 to the form k + h*g**2 + b*g and give h.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 61 = y - 7, 3*y + 50 = 4*w. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**6\/30 + 437*j**5\/20 - 3893*j**4\/12 - 2168*j. Find the third derivative of r(u) wrt u.\nAnswer: 24*u + 2622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 4308*n**2 + 12472*n + 1338. Give i(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54\/13 + 430\/91. Let k = 2.4 - 2. Let w = k + -9.4. What is the nearest to -1 in 0.3, w, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 3*b - 10*a, -4*a - 40 = 1490*b - 1484*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17226.2614 - -17233.06140041. Let h = j - 6.8. What is h rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10\/21 - -6\/7. Let i(r) be the first derivative of -3*r - t*r**3 + 0*r**2 - 5. Differentiate i(q) wrt q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9*w = 4*w + 73, -2*w - 59 = -3*v. Suppose 2*m = -m + v. Let f(l) = l**3 + 8*l**2 + 4*l - 2. What is the remainder when f(-7) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from ymohsyymymyohso.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - 6*z + z - z**3 + 4*z as o*z + m*z**2 + p*z**3 + b and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-1)\/((-2)\/(-26)). Suppose 2*h - o = h. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1230769014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 4*m**2 - 62*m\/7 + 32\/7.\nAnswer: 2*(m - 1)**2*(m + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46\/111 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 98437092 and 0.5?\nAnswer: 98437091.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-46)\/(-138)*(-6)\/4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119234610 and 4?\nAnswer: 238469220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 2542 = 2203. List the prime factors of x.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00145929961 to six decimal places.\nAnswer: 0.001459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -4*z - 6, -2*z - z + 3*u + 9 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/20)\/((3\/3)\/(-32))*1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42960 by -4.\nAnswer: 10740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-18))\/(((-88)\/1188)\/(2\/6)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3749 is divided by 166.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3516296655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + h. Suppose -4*a + 3 = -3*a + 4*r, 4*r + 12 = 4*a. Calculate the remainder when 62 is divided by o(a).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -21*p**5\/5 - p**4\/3 - 2255*p**3\/6 - 2072*p. Find the second derivative of g(y) wrt y.\nAnswer: -504*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**5\/100 + 3*y**4\/20 + 9*y**3\/10 + 5*y**2. Find r such that j(r) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**4 - 2*r**2 + 6. Suppose -2*b = 3*b - 65. Let m(o) = 11*o**4 + 4*o**2 - 13. Let z(y) = b*t(y) + 6*m(y). Find the third derivative of z(d) wrt d.\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -20*z**3\/9 - 4076*z**2\/3 + 4096*z\/3 + 24496\/9 = 0.\nAnswer: -3062\/5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -135*h**2 - 320*h - 100.\nAnswer: -5*(h + 2)*(27*h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s - 24. Does 6 divide v(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39774539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sooiysqzsoisis. What is prob of picking 1 z and 2 o?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/2)\/(((-984)\/(-41))\/48)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 9. Let s be (-5 - -1 - v)*-1. Suppose 0 = 4*o + 2*w - 6, -3*o + 4*w + 0 - s = 0. Solve -t - d = 3*t - 9, -d = -t + o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -3*t - 341*q + 345*q, 0 = -2*t - 2*q + 48. Let m(c) be the first derivative of 2\/3*c**2 + 4\/3*c + t - 1\/9*c**3 - 1\/12*c**4. Solve m(y) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254051533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(4900) - (sqrt(4900) - -5*sqrt(4900) - sqrt(4900))) + sqrt(4900))\/sqrt(7))**2 + -1)*2.\nAnswer: 12598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1275*h**3 - 2*h**2 + 9*h - 3. List the prime factors of w(2).\nAnswer: 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssd when three letters picked without replacement from {p: 3, v: 4, d: 2, s: 2, l: 3, j: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdxddzbdbd. Give prob of picking 1 z, 1 b, and 1 d.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is b9aa (base 12) in base 7?\nAnswer: 113401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/3 + -3. Let k be (40\/(-15))\/(-2) + -2. What is the third biggest value in k, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/3 + 5335990*z\/3 + 3557324 = 0. Calculate z.\nAnswer: -2667993, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7))**(-39)\/((p\/p**(-3))\/p**(-2\/11)) assuming p is positive.\nAnswer: p**(536\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4011 - 1?\nAnswer: -4012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (912\/(-40) - -24)\/((-6)\/(-1)*(-49)\/(-140))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 30201313100 (base 4) to base 15\nAnswer: 44d272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2820, 2543, 1760, 207, -2380, -6265, -11712?\nAnswer: -18985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 730.579cm to kilometers.\nAnswer: 0.00730579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2))**(21\/4))**(-18) assuming y is positive.\nAnswer: y**(189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*t = 10, -5*d - t - 7 + 5 = 0. Let q be d + 352\/24 - (-1)\/3. Solve 8*o = 1 + q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*v**5 + 1127 - 28*v**5 - 1126 - 2*v + (0*v**4 - 3*v**4 + v**4)*(v - 5*v + 2*v) - v**5 + 2*v**5 - 2*v**5.\nAnswer: -32*v**5 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30824 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2938376 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 - ((4 + 15 - 10) + 12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 87526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v = 30*v + 1584. Let x be 1\/(2 - 527\/v). Suppose 4*k - 452 = x. What is the remainder when k is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 2*o**2 + o. Suppose -4*i - 20 = x - 6*x, 0 = -5*i + 5*x - 20. Determine p(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 552 = -2*s. Is 23 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q*z**6 - 24070*q*z**3 - 2*q*z**2 + 79*q*z + 3*z**2 + 14 wrt z?\nAnswer: 120*q*z**3 - 144420*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*a, -5*z + 3*a - 16 = -14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 696*g + 648*g = 1518*g - 1914 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.046582 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times -7.5?\nAnswer: 6.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/8 + -3)\/(3\/(-138)). Suppose -15 = 5*o, 44 = -3*p - 5*o + 143. Let m = -15 + p. What is the highest common divisor of v and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(f*f**(-14)*f*f*f)\/f*f*f)**3*f\/(((f\/(f**(-16\/9)*f))\/f)\/f)*(f*f**(-22))\/f assuming f is positive.\nAnswer: f**(-376\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7917 or 7918?\nAnswer: 7917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*i - 111 = -3*w + 5*w + 219, -5*i = w - 31 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45289644.\nAnswer: 2, 3, 821, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1086158197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 16*j - 13. Calculate the remainder when u(12) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26135833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 8*t**2 - 24. Let c(z) = z**3 - 5*z**2 - 16. What is 8*c(i) - 5*v(i)?\nAnswer: 3*i**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + 0.7. Let c be (3642\/24280)\/(12\/10). What is the nearest to c in 2\/3, p, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 3. Let v be p(-3). Let l be (-23)\/4*(-28 + v). What is l rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 3:53 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12188603 divided by 32\nAnswer: -12188603\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 6*d**2 - 6*d + 14. Let y be h(-7). Let z(m) be the first derivative of -7\/2*m**2 + 18 + 1\/4*m**4 - 2*m**3 + 5*m. Determine z(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k - 2*k + 0*k + (k + 7 - 7)*(-3 - 4 + 2) as w + u*k and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 3385*a + 41340.\nAnswer: -5*(a - 689)*(a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167631 is divided by 167505.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2326 = g - 2991, -2*g - 3*m + 1295 = 0. Let v(u) = 4*u**3 - 2*u**2 - 4*u + 2. Let z be v(3). What is the highest common factor of z and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -938*f + 2 + 1879*f - 947*f - 2. Let u(i) = -i**2 - 2*i**2 + 6*i**2. Give g(u(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/3)\/(16\/264). Suppose 9*p - 122 = y*p. Let m = -83 - p. Round m to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.384 (b) -5\/4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3032 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 328, 571, 1112, 2065, 3544, 5663?\nAnswer: 8536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011 (base 2) in base 12?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyy when three letters picked without replacement from yiiyyyyiyyyyyyyy.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1512\/(-5103)*6\/(-8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 684323 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-246)\/(-164)*((-27)\/(270\/1700))\/3\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**2 - 50*q + 280 = 0. Calculate q.\nAnswer: -14, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + p)*(-4 - p + 4) - p + p - 2*p**2 - 3*p + p**2 + 3*p + (-p**2 - p**2 + p**2)*(-2 - 2 + 3) - 2*p**2 + 4*p**2 - 4*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-45)\/(-80))\/(-9).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -378887072*i**5 - 38*i**2 + 588829?\nAnswer: -22733224320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2 - 51*n + 344 = 0.\nAnswer: 8, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111010100 (base 2) to base 13.\nAnswer: -11b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10804097 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4416 + -4394. Solve 21*a + p*a - 129 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106668 = -4*i - 29324. Let k = i - 8975. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -150 - -159.9. Let o = 0.1 + t. Let r = 10.9 - o. What is r rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8*-71498.\nAnswer: -128696.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25692.0037667 + 25692. Round f to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 239897 (c) 0.3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, l: 3, z: 2, n: 3, r: 1}. Give prob of picking 1 n and 1 k.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 5 = -8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395 = -4*b - 283. Solve -3*h = -40 + b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 12)*2496\/2288?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 - u**2 + 5*u**2)*(-2*u**3 + u - u) + 18*u**4 - 5*u**5 - 18*u**4 + 2.\nAnswer: -7*u**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 10432413*h**2 + h - h.\nAnswer: 10432413*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-129)\/(-86))\/(2 - (-10)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 766 and 14259473?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 (base 8) in base 6?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)\/(z**1\/z))\/(z*z**(2\/3)*z)**(4\/11) assuming z is positive.\nAnswer: z**(-263\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*p + 132 = -256*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4*y**3 - 7)*(-2*y + 3*y + 0*y)*(-y + 3*y + 3*y).\nAnswer: -20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 45*w = -60. Suppose -4*k - 5*g + 80 = 0, -3*k + 2*g = -40 + 3. Suppose -n + 4*n = k. Put w, n, 3, -2 in decreasing order.\nAnswer: n, 3, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of ((-279)\/62)\/(6\/(-532))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 m, and 1 v when three letters picked without replacement from {a: 1, v: 1, u: 3, y: 5, o: 1, m: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 40, -112, -262, -410, -556, -700?\n\"Answer: y**2 - 155*y + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3217800 is divided by 129?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48525*m**3 - 5*m**2 - 1190 wrt m?\nAnswer: 291150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -38.14. Let p = -0.14 - k. What is the third biggest value in -5, 4, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.118136 rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = n + 4416. Calculate the remainder when 58 is divided by 1 + (n\/52 - (-6)\/(-39)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 53. Suppose -7 = n - b. Suppose -n = d - 316. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 23 - 17 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.79 or 22692?\nAnswer: 22692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 2 - 35*k - 9 - 3*k**2 + 31*k - 3*k**4 + 12*k**4 in the form a*k**2 + x*k**3 + p*k + i*k**4 + l and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -2*j + 4*z - 436, -2*j = 3*z - 214. Let y = j + 593. List the prime factors of y.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 388492012 and 20598?\nAnswer: 6866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7452113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*f - 108*f = -2704 - 203 for f.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34851 divided by -1?\nAnswer: 34851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.031 (b) 6 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60180?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 835 divided by 5?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 4 + 6 = -q, 0 = -q + 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.185 - -0.157. Let c = i - -0.02799963. Round c to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4914737 millennia in centuries?\nAnswer: 4.914737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 8:02 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - 2. Let l = -4593893.5 - -4593859.4999929. Let v = l - q. What is v rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -10 - 38. Suppose -4*k - m = -8*k. Let q = -12 + 16. Calculate the remainder when q is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1366669*g + 21. Let x be a(9). Round x to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55 - 41 + 59 - 3*h in the form m + y*h and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1992.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 456 and 435384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125943, -251795, -377557, -503229, -628811, -754303, -879705?\nAnswer: -1005017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52190 is divided by 381?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 470.1 - 470.1. Which is the third smallest value? (a) n (b) -161 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 - 52*m**3 + 56*m**2.\nAnswer: -4*m**2*(m - 1)*(m + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -7. Let m be (20\/6)\/(o\/6). What is the units digit of -2 - (-1 + (2 - m))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2842946 is divided by 2842944.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27531*j**3 + 2*j - 2*j + 0*j - 27511*j**3.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, p: 8, o: 4, t: 2, i: 2}. What is prob of picking 2 s, 1 i, and 1 p?\nAnswer: 32\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/91 (b) -3\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -8\/5 (b) -5 (c) 0.2 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 1400*m**3\/3 - 1860*m - 2073. What is the first derivative of t(c) wrt c?\nAnswer: 2800*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*i**2 + 5*i**4 + 32 - 131*i**2 + 65*i**2 - 21*i**3 wrt i.\nAnswer: 120*i - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11788 or 21354?\nAnswer: 21354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101010101 (base 2) to base 5.\nAnswer: -11403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 0\/3 - -3817 - 455\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - w - 33*w + (6*w + 13 - 13)*(-4 + 7 + 0).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -43710689679 minus 0.211?\nAnswer: -43710689679.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -135 + 3.38.\nAnswer: -131.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41.28049 litres?\nAnswer: 41280.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9912 + 9937. Solve -53 - a = 13*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 7:01 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40112223?\nAnswer: 3, 379, 35279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-315) - (-10)\/35.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -3721a5?\nAnswer: -3721a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v - 1. Let d(u) = -9*u + 1. Let w(o) = -2*d(o) - 4*z(o). Give w(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182766*u - 364397*u + 181630*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 2\/17 (b) 3\/8 (c) 19 (d) -0.1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2\/7 + 6\/7*s**4 + 6\/7*s - 4\/7*s**2 - 2\/7*s**5 - 4\/7*s**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2 + 6698*u + 1196460 = 0?\nAnswer: -170, 3519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 - 188*m\/3 + 2080.\nAnswer: -2*(m - 26)*(m + 120)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*a**3 + 144*a**3 + 148*a**3 - 441*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11443022 (base 5) to base 8.\nAnswer: 325121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvljjl. Give prob of sequence jvjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 greater than or equal to -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 200 + 524 = 4*h, -5*w = 0. Does 27 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.39 - 0.82. Let q = p + 0.4300037. What is q rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-435)\/87*(-2 + -1 - 3). Calculate the greatest common factor of y and 486.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 + 2*q**2 - q**2 + 2*q**2 + q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4746)\/565 - (-1)\/5*2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12430123*z**6 - 1568*z**2 + 2131?\nAnswer: 1491614760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 11201120?\nAnswer: 11201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -2064410.\nAnswer: -2064407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2\/3 + 27434*m\/15 - 6398\/5 = 0. Calculate m.\nAnswer: 7\/10, 1371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2660, 10504, 23568, 41846, 65332, 94020?\nAnswer: 127904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 1 + 6*p**2 - 1)*(-2*p + 5*p - 4*p).\nAnswer: -6*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*5\/(-15) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 53\/(-20) + (-9)\/(-36)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1227*y**4 - 4557*y**3 + 38479029*y**2 + y wrt y.\nAnswer: 29448*y - 27342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - -320?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 5*w**2 + 6*w - 7. Let f be n(6). Let l = 19 - f. What is the remainder when l is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + ((-2)\/(-6)*-33 - -6) - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/5*3)\/((-2754)\/1020). Which is the closest to 27? (a) o (b) 0 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**11)**21 assuming t is positive.\nAnswer: t**231","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17757 (base 11) to base 12.\nAnswer: -12483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.2, 1, 0.03492, -1\/3, -1\/4, 3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 69861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 491902897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.6 - 13. Let b = 3.4095 + n. Let t = b - 0.01. What is t rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -17.2 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -4. Let i = 9 + c. Suppose -i - 48 = -5*j. What is the remainder when j is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 5*b**2 + b**4 - 4*b**3 - 2*b**2 + 2 as v*b**3 + o + j*b**4 + p*b + x*b**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-16) - 31429\/(-424). Put 1\/8, -0.8, a, 0.4 in increasing order.\nAnswer: -0.8, 1\/8, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 4*f**2 - f - 5. Let i be a(-4). Suppose -5*q = -2*g - 0*q - 4, q - 2 = 0. Let y(j) = j**2 + g*j**3 + j**2 - 3*j**2. Calculate y(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0449 in 1156, -1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4510)\/44*(-1)\/(-250975) and 15\/22.\nAnswer: 1104290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26465391?\nAnswer: 3, 53, 113, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -272 - -276. Solve -3*g - 2*z = -n, 2*g - 3*g + 5*z = 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5\/2 + 144660*r**4 + 20926804913*r**3\/2 + 20925647641*r**2 - 41853609834*r - 83704905124 = 0.\nAnswer: -144659, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6191 - -6191. Let q(j) be the second derivative of 6*j + 0 + s*j**3 + 23\/2*j**2 - 23\/12*j**4. What is the first derivative of q(k) wrt k?\nAnswer: -46*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -924*i**5 - 64*i**5 - 10827*i + 13198*i - 318*i**5 wrt i?\nAnswer: -26120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**3 - 6*h**2 - 2*h - 1. Let t be b(-2). Suppose -o - 9 = -12. Solve -j + 1 = -t*u, 5*u - o = j + 6*u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-1) - ((-164)\/3444 + 66\/63).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 4:06 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**21\/q*q)\/q**(-1\/11) assuming q is positive.\nAnswer: q**(243\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-7))\/(-1)*294\/336?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 + l**3 + l**3)*(3*l - 3*l + 2*l) + (-2*l**2 - 2*l**3 + 2*l**2)*(-l + l - 2*l) + 3*l**2 - 3*l**2 + 2*l**4.\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 124*n - 2997. Give p(-90).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + n + 10 = 0, -2*w - 3 + 5 = -3*n. What is the third biggest value in w, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2920006.441 + 2921447. Let v = f - 1444. Round v to 1 decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 14563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 5. Let z be a(0). Let s be (2*1)\/(1\/5). Let k = s - z. Solve -3*f = -5*u + 1, -2*f = -k*u + 2 + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*g + 5, -g + r - 6*r + 25 = 0. Solve g*y = 3*y + 15, c - y - 9 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1298 and 472?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*w - 4. Suppose 148 = w*t - 0*t. Suppose -60*h + 170 = -74*h + 240. Calculate the least common multiple of t and h.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 1, k: 2, b: 1, i: 2, x: 1}. Give prob of sequence xi.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.443964 microseconds?\nAnswer: 0.009443964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -155*l**5\/4 - 5*l**4\/24 + 197*l**3\/6 - 11*l**2 - 9. Find the second derivative of p(o) wrt o.\nAnswer: -4650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/12, 0.08, 1208, 2, -7, 1 in ascending order.\nAnswer: -7, -1\/12, 0.08, 1, 2, 1208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0141 to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179746 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 6) + -3 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1410 (base 9) to base 2.\nAnswer: 10000100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 2 - 1 - 1 - 8*o + 2*o**3. Let f(x) = 2*x**2. Calculate g(f(t)).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33360 is divided by 4167.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004381 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 35*r**4\/4 + 2*r**3\/3 + 2*r**2 - 6*r - 14. What is the hundreds digit of l(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13297 - -14120. Is v smaller than 1643\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 349 + -452. Put 1, p, -3, -2 in decreasing order.\nAnswer: 1, -2, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 + 27 + 37 - g + 3*g**2 + 41 - 116 in the form k*g + i*g**2 + f and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 7) to base 6.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 588 = -2*k. Suppose 10 = 4*y + y. Calculate the common denominator of 131\/6 and ((-279)\/k)\/(y\/7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/17)*j*j\/(j\/(j\/((j*(j*j*j**4)\/j*j)\/j))*j))**42 assuming j is positive.\nAnswer: j**(-3486\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -13*j**2 + 9*j - 15. Let f(t) = 5*t**2 - 3*t + 10. Let d(i) = i**2 - i - 1. Let y(r) = -2*d(r) - f(r). Determine 6*l(u) - 11*y(u).\nAnswer: -u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - -31)\/((-63)\/(-28)) and ((-428)\/32)\/(6\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -37, 5, -5, 1\/8, 0.1439?\nAnswer: 0.1439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.6545 - 175922?\nAnswer: -175910.3455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4\/14*(-231)\/44?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.513 + -0.839. Let t = d - 0.88. Round t to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-342)\/(-216) - (-49)\/(-28). Let g = 26 - 17. Let w = g + -7. Which is the nearest to 3? (a) -1 (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -8*l - 2*l**2 - 1\/2*l**3 + 1\/20*l**5 - 10 + 1\/4*l**4. Let b(t) be the first derivative of w(t). What is b(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16b (base 14) to base 9\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019975 rounded to six decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/10 and -43\/3810.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (31 - 20) + (0 - 1) + -11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, -8.\nAnswer: -8, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10727 + -7164. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, i: 4, e: 1, o: 1}. Give prob of sequence ri.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, t: 4, g: 10}. What is prob of picking 3 t?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r - r - r + (-2 + 1 - 1)*(0 - 3*r + 0) + 4 + 7*r - 5 + r in the form k*r + g and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -2 - (-130 + 109 + 83)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -925*a - 68454. Calculate w(-74).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11907882 by 661549.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22235826?\nAnswer: 2, 3, 67, 55313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3649*c**2 - 11 + 3666*c**2 - c - 7184*c**2 to s*c + a + q*c**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 278*y + 19 + 70*y**2 - 818*y + 273*y + 276*y. Let s be (32\/(-12))\/(2\/(-6)). Is l(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n. Let p(b) = b**2 + 5*b. Let s(j) = -5*k(j) + p(j). Let v(h) be the first derivative of h**2\/2 + 1. What is v(s(g))?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2457 and 11610?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.2. Let f be (-3*(-10)\/20)\/((-6)\/(-14)). Is b equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8142357 to the power of 1\/2, to the nearest integer?\nAnswer: 2853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, -0.4, 127, -0.1, 0.3 in decreasing order.\nAnswer: 127, 81, 0.3, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**6\/120 + t**5\/10 - t**4\/4 - t**3 - 40*t**2. Is i(-3) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 32472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + -10 + -232 - -68?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79.0969 - 79.2. Let m = 0.1131 + w. Let s = -0.3 - -0.2. What is the nearest to s in 2, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.6, -5, 0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - r - 3*r - 9*r + 15*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*k**3 + a**3*k**2 + 33*a**3 + 63*a**2*k**3 + 2*a**2*k**2 wrt k?\nAnswer: -6*a**3 + 378*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (954\/189 + -5)*-169.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*h - 25 = -3*s, -5*h - 4*s - 28 = 0. Let k be 252\/48*h\/(-3). Let m(x) = 6*x - 16. Does 42 divide m(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5475, -2, 51.\nAnswer: -2, 51, 5475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -32458\nAnswer: 5\/32458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131123 (base 5) to base 8.\nAnswer: -12053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2 - 4\/(-4)). Suppose s + s - 98 = o. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 2*z**7\/105 + 7*z**6\/60 - z**5\/15 - 7*z**4\/12 - 8*z**2 + 8. Factor k(t).\nAnswer: 2*t*(t - 1)*(t + 1)*(2*t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1920\/(-60))\/(-16)*(-294)\/12?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 12. Let p = h + -9.1. Is p at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001225265293 rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -278 + 8. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r - 5. Let m be p(6). Let u = m - 4. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2125?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -13516636.\nAnswer: -5\/13516636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*x - 81 - 288 = 0, -131 = -f - x. Suppose 12*v - 43 = -r + 13*v, -3*r + 4*v + f = 0. Is r >= 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1266.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - w)*(1 - 7*w - 4 + 5 + 2 - 2 + 2*w + 1 + w - 1 + (2 - 1 + 1)*(-3*w + 4*w + 0*w) + 2 - w - 2) to the form j*w**2 + k*w + i and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100100100100 + -11101001011111?\nAnswer: -1011001110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -651440 - 7122?\nAnswer: -660562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) + (-54)\/(-8). Let w(z) = -q - 4*z - z + 3*z. Give w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 459481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 18 = -0*f. Suppose 504 = 3*b + f. Is b + 2 - (-2 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13\/4 or -78.44?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12353361 (base 7) to base 2\nAnswer: -100010010000010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372 divided by 124.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 185*i - 206. Let l(z) = 8*z + 2. Let s(k) = 3*l(k) + 3*w(k). Differentiate s(r) with respect to r.\nAnswer: 579","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*a + 12 + 8, 0 = -2*h - 4*a + 10. Suppose -h*k = 3*s - 20, 2*s + 16 = 4*s + 4*k. What is the tens digit of (7 + s)*(15 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*x**2 - 653\/6 + 109*x.\nAnswer: -(x - 653)*(x - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 244065004?\nAnswer: -244065017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 58605 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 -24652113 (base 7) in base 5?\nAnswer: -1032400044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(405)*2 - sqrt(405) - sqrt(405))\/(sqrt(441)*2))\/((sqrt(144) - -2*sqrt(144)) + sqrt(9) + (sqrt(99)*-1)\/sqrt(11)).\nAnswer: -sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*k + 70. Let r = 19 + k. Suppose 11 = 5*w - 2*m, 3*w - 19 = -r*m - 0*m. Put -3, 5, w, -4 in descending order.\nAnswer: 5, w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -168.9635 + 169. Let z = -0.03 + d. What is z rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/2)*s**(-29))**(-29))**(-11\/4) assuming s is positive.\nAnswer: s**(-18821\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4\/4 - 25*z**3\/4 + 121*z**2\/4 + 145*z\/4 = 0 for z.\nAnswer: -29, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1617 and 40\/11.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 952262 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 10:51 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -6*1*sqrt(68) - -1*sqrt(68)*-6)\/((-4*(sqrt(28) + 1*sqrt(28) + sqrt(28) + sqrt(28)))\/sqrt(7)).\nAnswer: 11*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Suppose n*p = p + 159. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0972 (b) -1\/3 (c) -1\/210 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6496*m**3 - m**2 + m. Let b be c(-1). Let k = 9265 + b. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*h**4 + 4488*h**3 + 4814*h**2 - 8*h wrt h?\nAnswer: 1320*h + 26928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 11:37 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2674191 + 1.07025216.\nAnswer: 2674192.07025216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 9*x + 114. Let p be m(7). Suppose -2*j = p*o - 950, 0*o = 4*j + 5*o - 1904. Is 36 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 17*c = 17*c - 15950. What is the remainder when c is divided by 108?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 934. Suppose -m - 74 = -4*t. Suppose b + 5*v - 139 = 0, 2*b - t = v - 3. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - -12?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 169241150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/33269 + 1563579\/1064608. Suppose -2*z + 1 = -1. What is the common denominator of ((-21)\/(-14))\/(z\/(-15)) and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314, 260, 206, 152?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 13 (b) 4\/17 (c) -145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1678)\/2)\/(3\/6*-2). Let z = b + -479. What is z rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*d - 59 = -79, 3*d - 21 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -325302 - 5?\nAnswer: -325307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 1 + 4 = 0. Let p = 22 + -25. Let a = h - p. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227 - -233 - (-1 + 3 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-3) + -7 + 2. Let m = 16\/7 + x. Suppose 4*d = w - 18, 2*w = 2*d - 3 + 9. Which is the second biggest value? (a) d (b) 1\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2180 + -1705. What is the remainder when d is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73887097.\nAnswer: 3067, 24091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3957634 rounded to three decimal places?\nAnswer: 0.396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 4 (b) 313 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(875)*4 - sqrt(35) - ((-2*sqrt(175))\/sqrt(5) - sqrt(35)))\/(sqrt(49)\/sqrt(63) - sqrt(84)\/(sqrt(36)\/sqrt(3))).\nAnswer: -33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2\/9*d**2 - 2\/3 - 4\/9*d = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 2*h - 4. Let r be k(-3). Let g be r\/(-8) - (-1 - 2). Which is smaller: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -13. Calculate the least common multiple of o and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146701*m**5*u + 201*m**4*u - 271597446*m**2*u wrt m.\nAnswer: 8802060*m**2*u + 4824*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 240 = 2*i. Let j be i\/65 - (-2)\/(-13). Let t = 11 + j. What is the remainder when t is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 6. Let x be i(-4). Let q(r) = -r**3 + 10*r**2 + 12*r - 7. Let c be q(11). Solve -3*h + 3*u + 13 = -4*h, -x*u = -c*h + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110000000000110011100 (base 2) to base 5\nAnswer: -1414423203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -50. What is the highest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -209\/3 - -70. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729*r = -528*r - 2340*r - 39567 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 15*q - 1. Let t be i(-16). Find the first derivative of 0 + 1 - t*a + 2*a + 0*a wrt a.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v - 4. Let n be a(-6). Are 44 and n nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79023063 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 8 - 16 = 0. Suppose -c = 7*i - 8*i. Let r be (-1)\/(-2) - (-6)\/(-8). Put i, r, -2\/5 in ascending order.\nAnswer: -2\/5, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 - 2*j + 6*j**2 + j**2. Let d(y) = -13*y**2 + y - 8*y**2 - 4*y + 14*y. Give -2*d(f) - 11*h(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 o when three letters picked without replacement from {k: 10, p: 1, y: 4, o: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -1201?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o. Let v(u) be the second derivative of -11*u**3\/6 - 4*u + 2. Give p(v(z)).\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -o + 23. Is 15 a factor of 2 - (-54 + o + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + l = -42. Let f(a) = a - 6. Let g be f(l). Suppose v + 14 = 4*n, -v - 1 = -n + g. Calculate the greatest common factor of 28 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 635, 594, 551, 506?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -245.6392 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26762250 a multiple of 1275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*b + 1840 = 3*x, -4*x + 1464 = -4*b. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156332385 and 135?\nAnswer: 468997155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*v + 158*v - 146618 + 146618.\nAnswer: 76*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 82117901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from {n: 7, t: 1, e: 3, v: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z**4 + 1056265386*z**3 - 6973103878672048*z**2 + 4532517180491250*z - 697310319209956 = 0. Calculate z.\nAnswer: 1\/4, 2\/5, 13203317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 3*m**2 - 3*m + 3. Let q be h(-3). Suppose 2 + 6 = 4*s. Let z be (0 - 5\/(-2))*s. Solve 0 = 2*j - z*j + q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29874 - 25*v - 29874.\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 < -15509\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 3*u - 3. Let m be o(2). Let v(y) = y**3 - 10*y**2 + 446*y - 4453. Let r be v(10). What is the closest to r in -5, m, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2097 - -2117. Calculate the smallest common multiple of h and 248.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.2, -2\/9, -78, 1\/6, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -121*x**3\/3 - 140*x + 5. Let i(g) = -4*g**2. Calculate b(i(l)).\nAnswer: 968*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23052*c - 2635*c + 14929*c.\nAnswer: 35346*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r - 9. Let f be j(-9). Let u = f - 18. Suppose -8*w + 3*w = u. Which is greater: w or 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26127.\nAnswer: 3, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a + 37 = -45. Suppose 2*l = -a*l + 1056. Is l a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/207?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 1. Let l(c) = -7*c**2 - c - 11. Let t(p) = -6*p**2 - p - 9. Let q(i) = 5*l(i) - 6*t(i). Give -3*k(w) + 2*q(w).\nAnswer: 2*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 444*i + 2061. What is v(-8)?\nAnswer: -1491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*6623286.\nAnswer: 59609574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(113*d**3 - 2192554*d - 769*d**3 + 2192552*d).\nAnswer: 656*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2224bb0 (base 12) to base 3.\nAnswer: -110021020101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5b22 (base 14) to base 12\nAnswer: 9256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -342682350*v**2 - 505976364.\nAnswer: -685364700*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 - 129*s - 61. Let f be r(19). What is the greatest common divisor of 465 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -15*c**3 - c**2 - 15*c + 5. Is d(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26524*v + 13394*v + 13117*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*j + 35*j - 2*y + 6 = 0, -3*y = -2*j + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-4\/3)*h))**(-34))**(3\/13) assuming h is positive.\nAnswer: h**(-136\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -10 (c) -3 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*r + 74 = 0, -4*u + r + 89 - 7 = 0. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3869045408 to the nearest integer?\nAnswer: 62202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -146.2 + -12.8. Let h = n + 159.76. What is h rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1974 divide 36866424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 492 and 2337.\nAnswer: 9348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k*k*k*k*((k**(4\/7)*k)\/k)\/k)\/(k**2*(k**(-7\/2)*k)\/k) assuming k is positive.\nAnswer: k**(-13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 2)\/((-3)\/(-15)). Suppose 3*s = -2*l + 157, 0 = g*s + 4*l + 52 - 313. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -1, -68165, 46 in descending order.\nAnswer: 46, 0, -1, -4, -68165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 less than 477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 10*j + 12. Let h be s(8). What is the hundreds digit of (44\/33)\/(6*h\/(-21420))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*o + 19*o - 4411 = -1063 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, k: 7, g: 2}. Give prob of sequence kg.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -54*x**3 + 27*x**2 - 11. Let z(s) = 11*s**3 - 5*s**2 + 2. Give 2*o(n) + 11*z(n).\nAnswer: 13*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and 187.7.\nAnswer: 28.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-nine fifths of a gram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/5 + 76\/(-140). Let g = -14.8 + 15. Let w = 1 + -1.2. Sort g, i, w in descending order.\nAnswer: g, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3\/2 + 11*u**2\/2 - 2*u - 22 = 0.\nAnswer: -11, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/450)\/((-195)\/20150)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(-49))**34*(a*a**(-1\/4)*a*a**9)**(-1\/33) assuming a is positive.\nAnswer: a**(-43\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-90*m + 3*m - 1177 + 1175)*(0 - 1 - 1)*(-4 + 4 + 1) + (-2*m + 2 - 2)*(-2 + 5 - 4) + 2*m - 2 + 2 - 2*m + 4*m - m as r*m + v and give r.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + g + 4*g - 3*g + 3*g - g + (-2 - 1 + 5)*(-5*g + 4*g - g) + 0*g - 3*g + 4*g + 0*g + 0*g + g)*(-5 + 0 + 3).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -101110?\nAnswer: 110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 9*i**2 + 2*i. Let j(f) = f**3 - 10*f**2 - 2*f. Let w(g) = 5*j(g) + 6*l(g). What is the remainder when ((5 + 0)*1 + 0)*3 is divided by w(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4*24\/(-18))\/(-1). What is the third derivative of -22*l**3 - 12*l**2 - 25*l**2 - 38*l**a wrt l?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5571 - 5568. Let n = 1.3 + -0.3. What is the smallest value in n, -0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(133) + (sqrt(133) - (sqrt(133) + 1*sqrt(133))))*3 + (-1*(sqrt(133) - sqrt(133)*1) - sqrt(133) - sqrt(133)))\/(1*2*sqrt(7)*-2).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/4288 and -1\/1608.\nAnswer: 12864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 53, -28 in increasing order.\nAnswer: -28, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*z = 22, 4 = 4*z + 8. Suppose 0 = -2*s - 23 - 61. Let x be 0 + 1 - (-56)\/s. Is u greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*c + 8, 0*q - 3*q - c + 1 = 0. Let r = q + 1. Suppose -5*n = -5*h - r*n + 66, 0 = -3*h - 4*n + 57. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-6)*(-7)\/35)\/(3\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 204*k - 2160.\nAnswer: 4*(k - 9)*(k + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - (-175 + -18)) + 14 + -23 + -11\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11861 + 11860.9. What is the nearest to 0.19 in 0.03, g, 8\/3, -1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*((-30)\/(-76))\/3. Let g(l) = 5 + 7*l - l - 8 + 4 - 20. Let s be g(3). Is s >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.12, 0.5, 0.02, -68?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5650694?\nAnswer: 2, 7, 403621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10165 - -10171. Solve -8*z = -u*z + 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -11, 277\/17, -3.\nAnswer: -11, -3, -4\/3, 277\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. Let f(r) = 7 - 3 + r + k*r. Let z(g) = 5*g + 4 + 4 - 3. Give -6*f(w) + 5*z(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001162 rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*h + 92, -h + 0*f - 2 = -5*f. Let u = 16 + h. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1214\nAnswer: -2\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -17. Suppose -7*s + 3*s = -12. Suppose s*u + 220 = 5*u. What is the highest common divisor of m and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 38*k. Let d(c) = 22*c. Give d(l(f)).\nAnswer: 836*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 355 + -640. Let y = m - -290. Let t = -3.4 + 3. What is the biggest value in y, -3, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42939296 and 3916.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3703576 is divided by 154309?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3))**(-2\/5)\/(m*m**(-1\/7)*m\/m**(-2\/11)))**(12\/7) assuming m is positive.\nAnswer: m**(-10036\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 585\/7 in -0.5, 6, -0.2, 1, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, e: 3, p: 3, l: 8}. What is prob of picking 2 p and 1 e?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 56668 (b) 2\/19 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 10*t**2 - 5*t - 10. Let n be q(-8). Let z = n + -151. What is the highest common factor of z and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhcyynnhyjcy. What is prob of sequence cjhc?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3153*o**2*p**2*v**3 + o**2*p*v**3 - o*p**2*v**2 + 2*o*p**2*v - p**2*v**3 - 22*p*v**3 + p*v wrt o?\nAnswer: -6306*p**2*v**3 + 2*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 37*y**2 - 78*y + 57. Let s be w(-7). Calculate the greatest common factor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/20*9\/(135\/40).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57965 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*f + 1 = -10, -4*c + 4*f = -52. Let j be 2*c\/(-6)*1. List the prime factors of (-38)\/j + (-3)\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/7 (b) -0.4 (c) 11 (d) -0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 15*h + 28. Let c be j(-5). Suppose 0 = -15*s + c*s + 156. Calculate the highest common factor of s and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4969192?\nAnswer: 2, 401, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39606 (base 10) to base 5.\nAnswer: 2231411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -85632 not equal to -85632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 117241 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -113100 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065799087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -38. Let x = c + 43. What is the remainder when 52 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -x + 3*s + s, -5 = -5*s. What is the remainder when x is divided by 1*13 - 0\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 3133.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19938 + 1542.\nAnswer: 21480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrtrrr. What is prob of sequence rrr?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 10:20 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 535, 526, 515, 502, 487?\n\"Answer: -a**2 - 6*a + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12002 (base 4) to base 10.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/76440 and 73\/8440?\nAnswer: 16128840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 264358421, 264358423, 264358425, 264358427, 264358429?\n\"Answer: 2*a + 264358419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*w - 3. Suppose 0 = 3*n + 2*n - 15. Let x(h) = -h**3 + 1 - h - 2*h**n + 4*h**3. Let k(y) = 2*y**3 - 2*y**2 - y + 3. Give w*x(p) - k(p).\nAnswer: p**3 + 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5\/7 - (0 + 2\/(-7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 8 = 4*h, h - 5*h = 0. Let w(z) = -z - n + 0 + 4. What is w(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30114003 (base 5) to base 15\nAnswer: -4aa88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 38.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 11. Let c = h + -5. Let t(j) = j - 3. Let v(s) = -1. Let i(p) = -t(p) - 2*v(p). Determine i(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 9:38 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 1, -464*r - 2*k + 4 = -462*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14386*z = 14379*z + 91. What is the remainder when 50 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 4*q**2 + 3*q - 5. Let s(w) = -14*w + w**2 + 14*w + 1. Let h(j) = 6*s(j) + x(j). Determine h(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(-174)*(22\/(-4) + 5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/5256 and 76\/273.\nAnswer: 478296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - -35. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*n + 40. Let p = n + 41\/4. Factor -1\/4*y**2 - p*y + 1\/2.\nAnswer: -(y - 1)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 3:30 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 9:19 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**2 - 6*g - 8*g**2 - 19*g + 3*g - 2*g**3 in the form y*g + d + l*g**3 + q*g**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a1 + -54?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -28949082 > -28949081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90017154*q**3 - 246382258*q**2 wrt q?\nAnswer: -540102924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004373 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: What is 91 divided by -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -230 + 229.006. Let c = -1 - o. Round c to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 48552.\nAnswer: 1\/8092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 18. Let a be y(14). Solve 3*w + 5*b = 26, w + 0*b + 14 = a*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86928775 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 44*l**2 + 0 + 1\/3*l**3 - 19*l. What are the prime factors of z(0)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -301 - -280. Let h be (-2)\/k*(-140)\/(-100). Which is the third smallest value? (a) 0 (b) -23 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185620671 is divided by 1504?\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k**2 + 1019*k - 3127. Give l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*m - 7*m + 174 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49326, -98655, -147986, -197319?\n\"Answer: -u**2 - 49326*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {k: 1, o: 1, g: 9, h: 7}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*f - f. Suppose 1 = 3*g - 8. Suppose -h + g = -0*h. Solve 2*w - h*w = -2*c + f, w - 2 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002843818537 rounded to 5 decimal places?\nAnswer: 0.00284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -1\/18*z**5 + 2\/9*z**3 + 0*z + 1\/12*z**4 + 0 - 4*z**2. Solve p(x) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*25*(-9 - -1). What are the prime factors of ((-2)\/5)\/((-8)\/z)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -7*m**8\/192 + m**7\/15 + 5*m**6\/32 + 3*m**5\/40 - m**2 + 134*m. Determine g so that t(g) = 0.\nAnswer: -3\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -8 - 12. Suppose -v*p = -3*w - 114, 4*p + 2*w = 72 + 28. Suppose 2*d + k = d, p = 5*d - k. What is the remainder when d is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43\/33 + -7\/11. Let y(d) be the second derivative of -1\/2*d**2 + v*d**3 - 6*d + 0. What is y(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-9)*((-96)\/80)\/2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994970023?\nAnswer: 994970023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 709238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/37, 6, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1449, 5946, 13523, 24180, 37917, 54734, 74631?\n\"Answer: 1540*c**2 - 123*c + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 177039\/18*22\/3 - -6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40753*y - 40781*y = 196 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxppggpgggfggbpb. What is prob of picking 1 b, 1 p, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*x - 150*x + 692 = -66*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16936 - -16896. Which is the closest to -2? (a) 0.5 (b) 2 (c) n (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*u + 60, -4*u = -3*h + 34 + 36. Calculate the greatest common divisor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27782 rounded to 3 dps?\nAnswer: -0.278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from icomidici?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16421667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)*x*x**(-3))\/(x**(-1\/3))**(15\/7) assuming x is positive.\nAnswer: x**(-95\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.18 - -0.18. Let c = -0.04 - -0.04. Let j = 7 + -12. What is the nearest to c in j, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*p + 5. Let r be (-2 - (-1 + p)) + 5. Suppose 3*d - 5*n = 44, -32 = 3*d - r*d + 2*n. Solve -d = o - 2*m, o + 2*m - 6 = 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611492 is divided by 490.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 348089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 32775176 to the power of 1\/3, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1363.9137 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -14439170996318?\nAnswer: -14439170996313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 303916314 to the nearest integer?\nAnswer: 17433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 2. Suppose -2*r - 3*v = 3, 7 = -3*r + 5*v - 7. Determine a(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66616*-0.067.\nAnswer: -4463.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -233.07 * 2.\nAnswer: -466.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.3, -2, 12\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 374*g + 307737*g**5 - 306032*g**5 + 4083*g wrt g.\nAnswer: 34100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45.26 - 0.26. Let w = -45 + m. Let j be 0 - -1 - 2\/(-8). What is the second biggest value in -0.4, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 5:20 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 375, 1546, 3513, 6276, 9835, 14190, 19341?\nAnswer: 25288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 3. Let q be c(3). Suppose 0 = 3*i + 15 - 66. Put q, i, 4 in ascending order.\nAnswer: q, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*x = x - 33, 5*x - 15 = 0. Solve -5*m - 1 = v, 3*m + p = 2*v - 2*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f - 50. Let r be (-7)\/(-7)*(-11 - -14). Sort -3, r, 2, f in descending order.\nAnswer: r, 2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*j - 196 + 316 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 20*j**2 + 78*j + 731. Give m(-22).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*t - 139, -5*a - 98*t + 100*t = -131. Let z(x) = -2*x - 5. Let k be z(-7). Calculate the greatest common divisor of a and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 21. Suppose -7*c = -11*c + 4. Let y be ((-13)\/2)\/(c\/2). List the prime factors of a(y).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w**5 - 127*w**4 + 130*w**3 = 0 for w.\nAnswer: 0, 10\/9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v - 33. Calculate w(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14193*k**2 - 10*k + 708 wrt k?\nAnswer: 28386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 + 34*m**4 + 10 + 13 - 51 with respect to m.\nAnswer: 136*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1445297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 24 - 163 = k, 3*k + 445 = -2*r. Let u = k + 220. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 2. Let q be z(-4). Suppose 4*y - 18 = 3*y + 3*u, -2*y = q*u + 4. Suppose -y*g + 5 = -4. Solve g*l - 4*l = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38963103 divided by 1\nAnswer: -38963103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/63 and -31\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 844 times -1.5\nAnswer: -1266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2615, 5204, 7797, 10388, 12971, 15540, 18089, 20612?\n\"Answer: -q**3 + 8*q**2 + 2572*q + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*j**2 + 159*j**2 - 2 + 557*j**2.\nAnswer: 887*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114 + -1027\/9. Let u = 8561\/5 - 1714. Calculate the common denominator of u and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*i**2*u*v**2 - 446719*i**2*u*v + 3*i**2*u + 2*i + 111902869*u*v**2 + 2*v**2 wrt i.\nAnswer: -88*u*v**2 - 893438*u*v + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -385 (base 13) in base 8?\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, q: 3, l: 6, h: 1, r: 1}. What is prob of sequence hllr?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(6\/5)*x**(-10))\/(x*x**(-2)*x**(-10)) assuming x is positive.\nAnswer: x**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2734086 (base 12) to base 6\nAnswer: -434452250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4865 - 2.4865. Which is the nearest to f? (a) 3\/2 (b) 67 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 - -1.9. Let s = -7554.5 - -7555. Which is the fourth biggest value? (a) -0.5 (b) s (c) 2\/7 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwwwxwwww. What is prob of picking 1 x and 2 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**4 + 88*q**3 + 121*q**2 - 304159.\nAnswer: 4*q**3 + 264*q**2 + 242*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7968 to the nearest one hundred.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*a**3 + 125*a**3 + 134*a**3 - 396*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 152, 140, 124, 104, 80, 52, 20?\n\"Answer: -2*n**2 - 6*n + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, -1487, -4074, -7687, -12320, -17967, -24622, -32279?\nAnswer: -40932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 8:56 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 96 = -81. Let w be 1\/(((-15)\/70)\/t). Solve 5*n - 3*x + 17 = 0, -4*x = -4*n + 2 - w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 13*w + 1. Let q(l) = 2*l**2 + 41*l + 164. Let d be q(-15). What is m(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - u = 0. Suppose -4*j = -2*p + 17 + 1, u = -2*j - 8. Is p > 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - 0) + 2 + -1 + -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -1700727642849.\nAnswer: -1700727642851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 564 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/(u**2\/u))\/u**(-2\/13)*u**4\/u**(-4))\/((u**(3\/2)\/(u\/(u*u\/(u*u**6\/u*u)*u)*u))\/(u**(1\/2)\/((u**(-5)\/u)\/u))) assuming u is positive.\nAnswer: u**(288\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 183 - 15 = -5*x, -4*a = 16. Let z be -32*(x\/27 - (-1)\/3). Suppose z*h - 1636 = 28*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/2)\/(3\/(0 + -3)). Factor 0 + 0*b**f - 2\/7*b - 4\/7*b**2 + 4\/7*b**4 + 2\/7*b**5.\nAnswer: 2*b*(b - 1)*(b + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x + 97. Let o(n) = -9*n - 193. Give -7*m(v) - 4*o(v).\nAnswer: v + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 20 = 6*m. Suppose 2*k + 10 = 5*s, 8 = 4*s + k - 3*k. Put 5, m, s in increasing order.\nAnswer: m, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 162\/1355?\nAnswer: 162\/1355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -11*w + 16*w. Suppose w*n - 41 = 3. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142 + 708\/5. Suppose -39*j + 37*j + 128 = 0. Let d = j + -324\/5. Sort -3\/2, 0, d, n in increasing order.\nAnswer: -3\/2, d, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2854\/139 or -1\/4?\nAnswer: -2854\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 12, w: 1, k: 4, q: 2}. What is prob of picking 2 x?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 6*h + 2. Let p be n(-6). Find the third derivative of -6*q**p + q**4 + 7*q**4 - 15*q**2 wrt q.\nAnswer: 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -5*n**2\/2 + 36*n - 440. Let f be l(9). Let m be 1 + -3*1\/4. What is the third smallest value in f, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29*5\/((-85)\/(-17)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 6, v: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4460 + -4455. Solve m*o + 4*s = -3, 3*o + 0*s + 5 = -4*s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11021021120012 (base 3) in base 7?\nAnswer: 25200221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -4*d + 0*d**2 - 1\/50*d**5 - 1\/30*d**4 + 0*d**3 + 2. Let m(x) be the first derivative of l(x). Find v, given that m(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28020461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45738700 divided by -35.\nAnswer: 1306820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0407 times 56616\nAnswer: 2304.2712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/7*(-133)\/(-76). Let x(r) = r**2 - r - 2. Let v be x(0). Let y = 3.07 + -0.07. Which is the nearest to 0? (a) y (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -57*l**2 - 3*l + 4. Give d(-3).\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.3, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 38. Suppose -4*n + x*b = -3*n, 3*n - 8 = b. Solve 4*y - 36 = -4*j, -3*y + 2*j = -n*j + 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 12*o**3 + 42.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.529 - 31.461. Let c = 32 + l. Let r = 0.010032 - c. Round r to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676\/20531*3843\/18?\nAnswer: 122\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 67*t**2 - 64*t + 268. Give s(-68).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 13*s - 15. Let m be z(-11). Calculate the highest common divisor of 112 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/5 of a century in decades?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -154, -163, -170, -175, -178?\n\"Answer: c**2 - 12*c - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 4)\/(8\/6). Let g(d) = -4*d - 6*d + d - o*d. Let m(b) = -2*b**2. Give g(m(n)).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 7*g**2 - 2*g - 14. Calculate the remainder when 48 is divided by s(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 1\/133, 0.4, -2\/15, -12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -35098976.9 rounded to the nearest 1000?\nAnswer: -35099000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 20*m + 44. Let d(f) = -f**3 - 12*f**2 - 11*f + 5. Let i be d(m). Solve -2*z + i*z = 2*n - 8, -16 = 4*z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 + 2*r. Let s(w) be the first derivative of -w**5\/15 + w**4\/6 + w**2 - 4. Let b(g) be the second derivative of s(g). What is 3*b(j) - 5*k(j)?\nAnswer: -2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 7*j + 17. Let u be 4*3*((-70)\/15)\/7. What is the remainder when 98 is divided by y(u)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35984 by -1384.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3625020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0526 from 1.\nAnswer: 0.9474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-10)*45\/486*-3*-2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/5*2*(-12)\/16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 381 - 362 - (-1 + 18)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -86, -85, -70, -35?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/i**(-1))\/i)\/i*i)\/i*i*i\/(i**(-2\/23)*i))**34 assuming i is positive.\nAnswer: i**(1632\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174*c*h**4 + 25*c*h**3 - 157*c*h**2 + 7*c*h + 392*h**4 + 4544*h wrt h?\nAnswer: 4176*c*h + 150*c + 9408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 1440?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15983.\nAnswer: 11, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 63. Suppose -5*j + 2*b + 1 = 0, 0 = j - 4*b + 2*b + 3. Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r*r**(-1\/3)*r*r*r*r**(-2))\/(r**(-6)*(r\/(r\/r**(-1\/5)))\/r))**(-3) assuming r is positive.\nAnswer: r**(-178\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101428.\nAnswer: 2, 25357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13033\/22 <= 591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4581 - -2428.\nAnswer: 7009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0124 - -0.0024. Sort v, -1\/7, 22 in increasing order.\nAnswer: -1\/7, v, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12983 - 12979. Solve 7 = 4*o + t, 4*o - d*t = -2 + 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2142510.\nAnswer: 2, 3, 5, 17, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10978.\nAnswer: 2, 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 2*d**2 - 7*d + 3. Let h be u(2). Let z = 21 - h. Calculate the remainder when z is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from tzzvtj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2451120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 41. Let g be a(-21). Solve -s + 6*s = 0, 5*r - 3*s + g = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 105, 69, 1, -105, -255?\n\"Answer: -j**3 - 10*j**2 + j + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**2 + 9*j**2 - 2*j**2 + (-2*j + 0 + 0)*(-4*j + 4*j + j) - 2 - 2*j**2 + 2 to the form k*j + a + c*j**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 129, 207?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5 + l)*(-9*l**2 - l + l).\nAnswer: -9*l**3 - 18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 2*j - 2. Let b(m) = 9*m**2 - 25*m**2 + 14*m**2 + 5 - 2*m - 3. Give 3*b(c) + 4*u(c).\nAnswer: -2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 + 33. Find the second derivative of -703*b + 688*b + b**4 + b**4 + k*b**5 + 20*b**5 wrt b.\nAnswer: 460*b**3 + 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 - 252315*n**2 - 5285629800*n + 825345658500.\nAnswer: -3*(n - 155)*(n + 42130)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711139317 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(-1 - 0) - -2. Let z(v) = -v**3 + 6*v**2 - 3*v - 13. Let m be z(5). Let b be 44\/(-33) - (-1)\/m*-13. Solve -b*r + n = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(((o*o**(1\/9))\/o)\/o)\/o*o)\/o**(-9\/5))**(-34) assuming o is positive.\nAnswer: o**(-4454\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventy-two fifths of a gram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*u = -59, 2*u - 18 = -a + 2. Suppose -4*r + 14 = -2*p - 0*p, -3*p = -5*r + 21. Let b = p + 16. Calculate the highest common factor of b and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**9\/n*n**(2\/5))\/(n**2)**(-10) assuming n is positive.\nAnswer: n**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4270, 4271, 4272, 4273?\nAnswer: 4274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/9)*u*u*u**(-4\/5))**(-23) assuming u is positive.\nAnswer: u**(-1127\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.126 - 39.132. What is t rounded to 1 decimal place?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68? (a) 1\/4 (b) 0.4 (c) 1 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 375258270781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5232596 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 10 = 0, -2*c = -3*a + 2*a - 132. Let k = 82 - c. What is the greatest common divisor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 13)*(3*g + 0*g - g) - 13*g + 3*g + 2*g)*(g - g + 3*g).\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*u + 28325285 + 4197657 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61033)\/(-43595) - (1 - (-137)\/5).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.017, 5, 719.3 in increasing order.\nAnswer: -0.017, 5, 719.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 2 = 46. Let d be -2*(7\/(-2))\/1. Let o be z\/(-10)*(d + -2). Solve o*x - 14 + 2 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2094166.81 to the nearest one thousand.\nAnswer: -2094000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 5*y - 22. Let q be a(-8). Suppose 26 = 2*o - q*k, 0*k + 2*k = 8. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153731*-392\nAnswer: 60262552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -5. Let q(t) = 4*t**4 - 5*t + 7. Let o(l) = -3*l**4 + 4*l - 6. Let m(v) = s*q(v) + 5*o(v). Differentiate m(y) with respect to y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 9:17 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 33*b**2 + 26*b - 3. Calculate i(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 20. Let r be 4\/i + 12\/(-45). Let k(t) = 2*t - 2. Let s be k(3). Which is the third biggest value? (a) 0.5 (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668515 times -16?\nAnswer: -10696240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 790*l**4 - 45652*l**3 - 9742*l**2 - 116*l = 0?\nAnswer: -1\/5, -1\/79, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q - 56 = 42*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 - 9*o + 6. What is q(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(91) - 3*sqrt(91)*6) + sqrt(91)))\/(sqrt(1008)*3*-5))**2.\nAnswer: 832\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 3) to base 15.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 1:05 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 329 - -957?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 12*y - 2 = 3*t, -t + 6 = y. Which is the second biggest value? (a) 1\/11 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*t**4 - 3*t**4 - 3*t**4)*(-89 - 102 - 50) to the form a*t**3 + g + s*t**2 + q*t**4 + z*t and give q.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -499330, -499331, -499332, -499333?\n\"Answer: -z - 499329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -203*q**4 - q + 4*q**3 + 11*q**4 - 186*q**4 - 3*q**2 - 147*q**4 to a*q + j*q**4 + r*q**3 + v + k*q**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - 36. Let q = m - 10. Solve 5*z + 10 + q = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 1136*r + 96037. Determine w(-92).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.67 + -4.67. Which is the nearest to 0.1? (a) 16 (b) v (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15*(110\/(-50) - -1). What is the biggest value in 5, 2\/7, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1211569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/(4*(-1)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26644 is divided by 189?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 32 = -2*a, a + n + 7 = 23. Suppose 2*b - 212 = -4*f, -5*f + 17 - 7 = 0. Suppose k + a = 5*p + 103, k - b = 2*p. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 72\/(-33) + 0. Let s(n) = 27*n - 383. Let t be s(14). Which is the nearest to -2\/3? (a) 4 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 75*f**4\/8 + 325*f**3\/8 + 327*f**2\/8 + 83*f\/8 + 3\/4 = 0.\nAnswer: -3, -1, -1\/5, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 4:35 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = k + 21*x - 18*x, 5*k + 26 = -4*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)*z**(1\/21))**(3\/26) assuming z is positive.\nAnswer: z**(25\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 245180 and 1148.\nAnswer: 1716260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022 minus 1.9344?\nAnswer: -1.9564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 9:24 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, -3, 2, -5, 5 in descending order.\nAnswer: 109, 5, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-714019)\/(-201))\/(1\/3) + 7.\nAnswer: 2, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 725472054 and 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -522 + 381*m**3 - 895*m**3 + 522 - 583*m**3.\nAnswer: -1097*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2035\/880*-8 - (-1)\/(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6038 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 78877889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1929739*h. Let n(o) = 861*o**2. What is n(p(w))?\nAnswer: 3206271535592181*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (46 - 27 - -3) + (-6 - -5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 31 (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -9. Suppose -4 - 4 = -m*k. Let u(h) = h**2 + 2*h - 3. Let g be u(-3). Solve g = -4*r - 12, -15 + 3 = -n + k*r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsqvsvqvvaqavvvqqvs. What is prob of picking 2 a and 1 v?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.8893 + 0.0507. Let s = q - 11. Let f be 4\/(-18) + (-188)\/(-36). Which is the biggest value? (a) f (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 17*i + 7*i - 30*i + 13*i + 5*i. Let f(a) = -18*a**2. Give v(f(j)).\nAnswer: -216*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0230245? (a) -2\/15 (b) -0.2 (c) -0.003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 bigger than 3566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7310, 7667, 8010, 8333, 8630, 8895, 9122?\n\"Answer: -o**3 - o**2 + 367*o + 6945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63660.\nAnswer: 2, 3, 5, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4858 + -0.1737?\nAnswer: 4857.8263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/2)\/(-3)*(-4)\/4. Suppose 2*v - k*n = 1029, 0 = 2*v + 9*n - 4*n - 979. What are the prime factors of v?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 9*i - 1. Let b(q) be the second derivative of -q**4\/6 - 10*q**3\/3 + 3*q**2\/2 - 28*q + 2. Let k(o) = -3*b(o) - 7*n(o). Give k(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3220, 6479, 9738?\nAnswer: 12997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -282683549 + 350.\nAnswer: -282683199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 f when two letters picked without replacement from {f: 1, z: 6, i: 2, u: 1, k: 5}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.35 + 3.8. Let c = -0.45 - k. Let n = -2.04 - c. What is n rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q - 22. Let a(i) = -i**2 + 27*i - 56. Let o be a(25). Let l be r(o). Let t(m) = -4 + 2*m + 2 - m**2 - 2*m**2. Determine t(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*h - 151*h + 252 = 0 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.3 and -335668.\nAnswer: -2786044.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 76\/21233 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-18)*2*(-3)\/(-7). Sort -0.3, 1, f in descending order.\nAnswer: 1, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135437 and 1546577?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**25\/t)\/t**(-36)*t*t**23*t**(-7)\/t assuming t is positive.\nAnswer: t**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 - 7*s**2 + 8855*s**3 + 112 + s - 2564*s**3.\nAnswer: 6291*s**3 - 7*s**2 + s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 264 = 4*c. Suppose c = 4*l - 0*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 0.6168?\nAnswer: -6.6168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 + -82. Suppose -11 = -z*f + 1. Solve -2*y + 2*m + f - 4 = 0, -2*m = -5*y + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 14 - 4. Suppose -4*t = -5*b + 38, 0 = p*b + t - 9 - 19. Suppose -2*x + 6 = 3*w - b*x, -5*x = w + 17. Let s(h) = h**2 + 4*h + 2. Give s(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 13 = q + 5*v, -2*v - 2 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o**2 - 6*o**3 + 161*o**5 + 0*o**3 - 3*o - 160*o**5 - 8*o**2.\nAnswer: o*(o - 3)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 4, i: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0203505 to four dps.\nAnswer: -1.0204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/(z**(-6)*z))**(2\/75) assuming z is positive.\nAnswer: z**(2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1064 or -1054?\nAnswer: -1054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -2.1913.\nAnswer: 2.1913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = -y + 125. Let z be -8*3\/9*y\/12. Sort z, 5, -10.\nAnswer: -10, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 241*w**2 - 50*w - 103. What is the tens digit of r(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Let g(i) = -34*i - 211. Let t(z) = -g(z) + 2*n(z). Let w be t(-6). What is the nearest to 2\/7 in -13, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 38. Solve 2*v - 9 - 5 = 4*m, -q = -2*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*j**3*o*v - 279*j**3*v + 237*j**3 + 2*j**2*o - 2*j**2*v + 2256*j**2 + o*v - 953*v wrt j.\nAnswer: 300*o*v - 1674*v + 1422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/40*60\/1476?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3\/4 - 9889059*t**2\/4 - 24448376920899*t\/4 - 24448367031841\/4 = 0. What is t?\nAnswer: -4944529, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one sixths of a decade?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68.87019 - -0.12981. Which is bigger: b or 3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**14)**(-2\/11))**(-8\/3) assuming p is positive.\nAnswer: p**(224\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29*2\/(6 - 4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - 1 - -3) + (5 - (-2 + 0))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/29)\/n)\/((n\/(n*((n*n**(-2\/17))\/n)\/n)*n)\/n) assuming n is positive.\nAnswer: n**(-585\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -504601 and 2.14.\nAnswer: -1079846.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -9. Let j(s) = 0*s**2 - 13*s**2 - 7 + 11*s**2 + s**2 - 13*s - 8. Calculate j(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17183 (base 9) to base 13\nAnswer: 54c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 3, g: 3}. What is prob of sequence zz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -14 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 - 3*w**2 - 2*w. What is r(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*n - 3*p, 3*n + 25 = 6*n - p. Let i be 4\/10*n\/3. Let f = 0.31 - 0.01. What is the third biggest value in f, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -27, 5, 11, -2, -10.\nAnswer: -27, -10, -4, -2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 3*p**2 - 3. Let a be t(-3). Let b be 2 + 2*-1 + a. Let x = 9 - b. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 956235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 175496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, 19, 29, 39, 49, 59?\n\"Answer: 10*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*g - 183*g - 5 + 380*g + 5*g**3 + 7 + 0*g**3.\nAnswer: 5*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -2*h**3\/3 - 199. Let i(r) = 90*r**2. Give x(i(q)).\nAnswer: -16200*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.09296638 rounded to 3 decimal places?\nAnswer: 17.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5900*1\nAnswer: 5900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 + -1.3. Let r = x - 0.1. Let a be 1\/(4\/6*(-3)\/(-8)). What is the nearest to 2\/3 in r, a, -0.04?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + 2 + -2 + (-14381 - -14364)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (129\/430)\/((-12)\/(-16))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 9:33 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -10*r**2 - r - 1164. Let j be t(0). What is j rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.9 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -206*n**2 - 5408*n - 1338. Determine v(-26).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) 8 (b) 5 (c) -32 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37411 and 40337.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8b3d + -1?\nAnswer: -8b3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2 - 2)*(5 - 8 - 8*i + 6).\nAnswer: -8*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**2*g*u**2 - 109553*a**2*g - 2*a**2*h*u**2 + a*h*u + 2*a*h + 2*a*u**2 + 5*g*h*u + 391*g*h + 2*g*u**2 + g*u wrt a?\nAnswer: 6*g*u**2 - 219106*g - 4*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.031 (b) -9 (c) -2\/87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9007526 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (507 - 502 - (26 + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.013 and -40.379.\nAnswer: -0.524927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -476.68 - -476.7. What is the nearest to -2 in 1, 0.5, 8, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 173 - 173. Suppose -12*k + 7*k + 165 = g. Suppose -c - 3*i = c - 63, 100 = 3*c - i. What is the greatest common factor of k and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(-4 + (-224276)\/12)*598\/26 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(-693)*6)\/((-26)\/(-91)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1393671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 85*z**2 - 65*z + 2319. Let t be u(-86). What is the highest common divisor of t and 5871?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 6. Suppose a = -4*n + 16, x + n - 320 = -4*n. Calculate the greatest common divisor of 30 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 - 2*b**2 - 13*b**2 + 9 + 8*b - 8*b**2 - 7*b - b**3 as w + p*b + o*b**3 + y*b**2 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106\/468111 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/5 - 1903\/(-30). Let x = i + -64. What is the closest to 1 in x, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - (sqrt(288) + sqrt(18)))\/sqrt(3) + sqrt(6) + 1*sqrt(150))\/((sqrt(8) - (sqrt(8)*-1 + sqrt(8))) + (sqrt(20)*1)\/sqrt(10)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 975086 and 1337.\nAnswer: 186241426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 1. Suppose 0 = -r - 3*b + 5 + 4, 3*r + 12 = 4*b. Let m(c) = c**2 + r + 5 + 5*c - 3. Calculate 5*l(s) + 2*m(s).\nAnswer: 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.07 + -0.93. Is 1\/3 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 865201, 1730404, 2595607, 3460810, 4326013, 5191216?\n\"Answer: 865203*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v - 2*v + v - 17 + v + 17 + (6 - 1 - 3)*(0*v - v + 3*v))*(-20*v**3 + 69*v**2 - 69*v**2).\nAnswer: -240*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/4*1 + 0. Let h = 1.5 - 2. What is the second biggest value in j, 4\/3, h?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/5, 1\/3, 2\/13, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 45 = 4*g, -19 = 4*d - g - 55. Let a be 12\/27 - (-2)\/d. Let q = -2\/99 + -31\/99. What is the nearest to 1\/3 in 3\/4, a, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000015 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43\/4 of a millennium?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -458 + -5?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5191*f**4 + 32787*f wrt f.\nAnswer: 62292*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-9)*6\/21.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*k + 35 = -x, 126 = 4*x + 2*k. Let b(w) = 3*w**3 - 4*w**2 + 10*w - 12. Let h be b(2). What is the highest common factor of h and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 5) in base 13?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 12:10 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202626.\nAnswer: 2, 3, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*x = 3*x. Suppose -3*h + 42290 - 11000 = x. Round h to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67864 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s**3 - 3834*s**2 - 4*s + 1700. Determine l(426).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -m + 3. What is the second derivative of -10*f**2 - 7*f**2 + 2*f**m + 19*f wrt f?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2. Let r be a(-2). Suppose r*p - g - 108 - 27 = 0, -4*g = 2*p - 90. What is the remainder when p is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1369 - -1371. Find s such that 2\/5*s + 0 - 1\/5*s**o = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7215 and 9?\nAnswer: 21645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -422 divided by 9.\nAnswer: -422\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**6\/120 - 11*k**5\/60 + k**4\/12 + 17*k**3\/6 - 19*k**2. Does 39 divide g(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282367.6m to nanometers.\nAnswer: 282367600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -46094*t**4\/5 - 170547*t**3 - 78345*t**2 + 82976*t - 36\/5 = 0?\nAnswer: -18, -1, 2\/23047, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 344, 1449, 3724, 7589, 13464, 21769, 32924?\nAnswer: 47349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3104167666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 4*k - 8. Let r be (-12 - 0)*6\/12. Let p be b(r). What is the third derivative of -l**4 + 0*l**4 + l**5 + l**p + 2*l**2 wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deqeeeeqeedq. What is prob of sequence qed?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 436*b - 10841. Let v(n) = -n**3 + 13*n**2 - 8*n - 3. What is the remainder when v(7) is divided by i(25)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*m + 7 = 0, 2*m = -s - 3*m + 4. Suppose 3*x + 32 = y + 4*y, -x = -2*y + 12. Put 0, s, y in increasing order.\nAnswer: s, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002833 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27 + 17.\nAnswer: 17.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 57855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 + 5ec?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 617911 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvvj when four letters picked without replacement from {j: 16, v: 4}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**3 + 15*h**2 + h + 2. Let z(l) = -l**3 + 5*l**2 + 1. Let u(j) = 2*f(j) - 7*z(j). What is u(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6590*u + 132446 = -162213 - 74381 for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - o**2 + 4. Let u(m) = -22 + 60 + m**3 + 0*m**3 - 16 - 13 - 2*m**2. Give -2*u(x) + 5*w(x).\nAnswer: 3*x**3 - x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 39747698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 683 + -589 - (-14 - 5).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9681 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: Solve -2197*f - 8078*f = 10567*f - 1375572 for f.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 5*g - 24, 3*g = 6417*o - 6421*o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (3 + 0 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14446*w**2 - 11614?\nAnswer: 28892*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**6\/12 + l**5\/5 - l**4\/4 - 4*l**3\/3 - 7*l**2\/4 - l + 3. Factor v(o).\nAnswer: (o - 2)*(o + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i - 310. Let o = -109 - i. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 24 = -4. Suppose 49 = -j*b - 21. What is the common denominator of -93\/4 and b\/8*324\/(-56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-20)\/(-8) - ((-440)\/96)\/(30\/(-12))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 3 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -987 + 617. Let a = 372 + f. Solve o + 0*d - a*d - 9 = 0, -2*d = -3*o + 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 176*c*l - 64*c - 4 with respect to l.\nAnswer: 176*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -70, 0, 1, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 bigger than 735388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 894*t + 895*t - 30 = 0, 0 = -2*p + 4*t - 50 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 40*g = -112 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 508 - 505. Find the second derivative of 2*p**x - 45*p - 19*p**5 - 2*p**3 - 9*p**5 - 141*p wrt p.\nAnswer: -560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 58716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41002)\/(-13)*(-256)\/(-9728).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqfqqffffqfqqfqf. What is prob of sequence qfff?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(84) - sqrt(84)))\/((sqrt(120)*-1)\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 - 4*z**3 + 3*z**3)*(3*z - 4*z + 0*z) + 4*z**2 + 1030*z - 1030*z - 1 - 4*z**4.\nAnswer: -z**4 + 4*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 + 3*a + 4. Let d(o) = o + 1. Give d(b) - p(b).\nAnswer: 2*b**2 - 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 451611.7 centuries?\nAnswer: 45161.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6)*(216\/45)\/8. Which is the third biggest value? (a) o (b) -2\/9 (c) 73 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 + -66. Solve -r - 4*s + 11 = 0, q + 7 = 4*r + 5*s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-12)\/x)\/x*x\/(x*x*x**(-3\/2))*x*x*x**(-8)*x**7*x assuming x is positive.\nAnswer: x**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -9 - 7) + 4 - (13 - (-29 + 4)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, t: 2, p: 3, a: 7}. Give prob of picking 1 t, 1 p, and 2 z.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 6. Let l(x) be the first derivative of -1\/2*x**q - 8*x + 2*x**3 + 0*x**2 + 1. Factor l(y).\nAnswer: -2*(y - 2)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 + 26. Let g be 7\/x - 98\/(-12). Which is greater: g or 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*u**2)*(4*u**2 - u**2 - u**2)*(u - 7*u + 2*u).\nAnswer: -16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -3, 12 in ascending order.\nAnswer: -3, -1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896418 is divided by 2504.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 251533 + -117560. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41868904 divided by 41868904?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 divided by -194?\nAnswer: -93\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4572*y + 54800. Calculate k(12).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 1:23 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**2 + 3*u**2 - 7*u**2)*(-2*u + 13*u + 11*u) + 2*u**3 - 3*u**3 - 10*u**3 in the form v + m*u**2 + r*u**3 + s*u and give r.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -3230958 to the nearest ten thousand.\nAnswer: -3230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64024 and 240196?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8*2\/(-104) - 6\/39. Suppose k = -2*v + s + 7, 5 = 2*v + 3*s + 2. Calculate the greatest common divisor of 6 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13243858 is divided by 224472.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34870048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111 divided by -1310?\nAnswer: 2111\/1310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 337*k + 3 + (-2 - 1 + 2)*(2*k - 2*k - 5*k) - 3 + 3 + k.\nAnswer: -331*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9483458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 233892752 to the nearest 100000.\nAnswer: 233900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37315 = -5*b - 2*w, -4*w = 2*b - 10915 - 3995. Is 46 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*z**3 + 711*z**2 + 837*z + 105.\nAnswer: -3*(z - 35)*(z + 1)*(7*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1519\/40 - -233\/5. Calculate the common denominator of y and -37\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.11 to the nearest integer.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6222, -6221, -6220, -6219, -6218, -6217?\n\"Answer: a - 6223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 10, t: 9}. What is prob of sequence dd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 - 2*k**2 + 0*k**2 + (-2*k + k + 0*k)*(k - 2*k + 0*k) + 6*k**2 + 3*k**2 - 2*k**2 - 8*k**2 + 6*k**2 - 7*k**2 + (2*k - k - 3*k)*(-k + k - 2*k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2347439*a**3 - 2*a**2 + 23*a + 52236?\nAnswer: -14084634*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -612 + 1831\/3. Let d be ((828\/32)\/3)\/(3\/4). Let t = 12 - d. What is the nearest to 2 in t, s, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 6 + 2 - 2*g**2 - 3 in the form t*g**2 + q + p*g and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -6 - 4. Suppose w*y = 3*y - 12. Is 7 a factor of (-56)\/y*(-6)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*q = 28, -4*j + 5*q = 4 + 8. Let w be j\/(-10) + 52\/60. Is -0.3 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**7\/42 + 7*m**4\/12 + 6*m + 5. Let x(t) be the first derivative of w(t). What is the third derivative of x(n) wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5 + 4 = 5*f, -j + 5*f - 4 = 0. Suppose -2*n = 3*o - 7 + j, 2*o = 4. Suppose -2*x - 3*x + 435 = n. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(152) + sqrt(152) - sqrt(152))*-2)\/(3*(sqrt(288) + sqrt(32))))**2*-2.\nAnswer: -19\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.06+0.974\nAnswer: 0.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 18 - 27. Suppose 7*h = 3*g + k*h - 5, h - 10 = -g. Solve 5*x - 30 = g*l, x = 3*l - 3*x + 21 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 = -6*d - 90. Let j = -91 - d. Let h = -11 + 2. Let z(i) = -4*i + 2. Let k(n) = 17*n - 9. What is h*z(l) + j*k(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 13*f**2 - 3*f - 17. Let w be y(-13). Does 7 divide ((-2)\/(-4) + 0)*w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 491 + -488. Suppose 3*w - 25 = -3*j + 2*j, -4*w + 108 = 4*j. What is the remainder when j is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011717880489 to seven dps.\nAnswer: 0.0011718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*z = -228*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -237 - -240. Let s be (-6)\/(-4)*(-72)\/54. What is the tens digit of (j\/(-1) + 4)*(163 + s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/1870 and -109\/5610.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v + v + (-2 - 2 - 2)*(2*v - v + v))*(13*v + 3 - 1 - 3).\nAnswer: -143*v**2 + 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-20))\/(27\/(-108))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -183702 at most -183697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**5\/80 - m**4\/72 - 133*m**3\/72 + 3*m + 413. Factor l(y).\nAnswer: y*(y - 7)*(3*y + 19)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 6*l. Suppose 55 = -6*i + i. Let k = i - -9. Let f be ((-1)\/k)\/((-12)\/(-96)). Give u(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.0723, -2\/15, 14.\nAnswer: -2\/15, -0.0723, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 + 0)*(14*s**2 + 4*s**2 + 5*s**2) + 2*s**2 + s**2 + 3*s**2 + 2*s**2 - s**2 + 2*s**2 to d + o*s**2 + x*s and give o.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5745 - -126347\/22. What is the common denominator of -2*(-1)\/12*139 and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - -42. Suppose -3*d + j = 5*h + 237, 4*h = -20. Let t = -38 - d. Calculate the highest common divisor of 50 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4723*k**2 - 80840*k + 80840*k.\nAnswer: -4723*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12839 + 888 = -21*n - 233. Is n a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000178108 to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -397 + 409. Suppose -9*n = -r*n + c + 12, -12 = -3*n - 2*c. Solve 0 = 4*s - n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/45*5)\/((-14)\/238)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3507 is divided by 295.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 4*k - 100, -5*k = 546*d - 548*d - 107 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-255)\/17 + -2 + 12 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 581675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 5*a - 13, -4*a + 4*c - 6 = -c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*a**2 + 2*a**4 - 2641*a + 15*a**3 - 15*a**2 - 64 + 31*a**2 + 2640*a to the form s*a**4 + j + x*a + f*a**2 + t*a**3 and give j.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1404?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j - j + (6 - 2 + 5)*(-5*j + 5*j - 3*j))*(4 + j**2 - 4).\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 651452 + -447440. Let l = u - 1023478\/5. Let x = 13257\/20 + l. Calculate the common denominator of -99\/4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 5. Let u(y) = y**3 - 9*y**2 + 6*y + 11. Let r be u(8). Which is the nearest to 0.2? (a) r (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 503, 1318, 2685, 4610, 7099?\nAnswer: 10158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 9 = 0, 25 = -3*x + 8*x + 5*s. Let r = -8 + 4. Let c be x\/7 - r\/14. Sort c, 1\/4, 5.\nAnswer: 1\/4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145 - 104. What is the greatest common divisor of x and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/49, -2\/7, 19?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*w - w. Suppose -5*k = -w + 40. Let s be 1 - (-6)\/9*-3. Which is the third smallest value? (a) k (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, g: 5, h: 2, k: 4}. What is prob of picking 2 k, 1 h, and 1 r?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87956472 and 3192?\nAnswer: 615695304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1. Let v(p) = p**2 - 13*p + 11. Let f be v(12). Is 6 a factor of 15 - 1\/f*m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4 - 2*l**2 + 0*l**2 + 3 + 3*l**2 + 2*l. Let o be t(-4). Solve -5 = -3*j + o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*z + 8 = -z, 4*t - 8 = -3*z. Let f be (-8)\/(-18)*t\/4. Which is the smallest value? (a) 2 (b) 1\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 790414 and 48578.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66305655977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -15. Let n = 26 - 13. Let u = n - c. Calculate the highest common factor of 8 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1) + -2 - (-3 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116976*s**2 + 119312*s**2 - 5035*s - 239071*s**2 wrt s?\nAnswer: -5566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16590)\/(-948)*(-20)\/75.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5265*l**2 - 7140*l**2 + 12419*l**2.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, x: 5, e: 6, p: 1, t: 1}. What is prob of picking 2 b, 1 x, and 1 e?\nAnswer: 75\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from hyyhghughkjy?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 18*r - 11. Let d be l(-18). Let v(n) = n**3 + 16*n**2 + 21*n + 157. What is the tens digit of v(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/5 + 56*o**2\/5 - 104*o\/5 = 0 for o.\nAnswer: 0, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101010985 + 101010985.49200259. Let a = j - 0.492. Round a to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 5*r**3 + 4 - 1)*(6*r - 6*r + 37 - r)*(-1 - 2 + 2).\nAnswer: 2*r**4 - 74*r**3 + 3*r - 111","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*t = 43*t - 46354 for t.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2883 and 2759.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 381 - 83. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, g: 12, s: 3}. What is prob of picking 2 s and 2 g?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -391*q**4\/2 - q**3\/3 - q**2\/2 - q - 3. Let s be d(2). Let f = 137827\/22 + s. What is the common denominator of f and -85\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1344*h + 1329*h. Let v(w) be the second derivative of -9\/11*w**2 + 17*w + h - 4\/11*w**3 - 1\/22*w**4. Determine j so that v(j) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-24))\/m*m**(-2\/15)*(m\/m**(-2\/11))\/m**(-39) assuming m is positive.\nAnswer: m**(2648\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b + b)*(-1624 + 1624 + 29*b**2) + 29 - 29 - 2*b**3.\nAnswer: 85*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 + 10*f - 6. Let y be p(2). Solve 0 = s + 3*k - 4, 0*k = -y*k + 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j + 15. Let n be t(43). What is the greatest common factor of 184 and n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 456 and 44.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2483 bigger than 548557\/221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 67*g**3\/6 - g**2 + 2*g - 8. Let y(b) = b**2. What is t(y(d))?\nAnswer: 67*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/6 and -109\/220.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 0*m + 0*m + (-2 + 5 - 1)*(-3*m - 2*m + 7*m) + 2*m - 4*m + 0*m - 3 - m + 3 + 3*m + 3*m - 4*m + (1 - 2 + 3)*(-m + m - m) + 5*m - 1 + 1.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.985 + 4. Let v = 0.00405 + -0.0190236. Let c = v + z. What is c rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2140, 0.01, -5, 0 in descending order.\nAnswer: 0.01, 1\/2140, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12376?\nAnswer: 2, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23147167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36789 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, -5, 1\/2, -48?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-20)\/(-15)))\/(11\/66)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from -729422.932.\nAnswer: -729422.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -175 - -164. Let s be ((-4)\/(-11))\/(5 + (q - -8)). Which is the second smallest value? (a) 9 (b) 4 (c) s (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 11 = -6*n, -58*p + 28*p = n - 27*p - 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/7 of a week?\nAnswer: 15840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -4\/3, 3\/515, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*r + 81*r = -r + 2352 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76472177 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-19)\/(608\/(-48)))\/((-1)\/82). Let q = -112 - -61. Let j = q - k. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (-5*-5*sqrt(1872)*-1)**2).\nAnswer: -5850005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 927*j**2 + 2*j - 465*j**2 - 453*j**2.\nAnswer: 9*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 10*n - 8. Let h be s(-9). Let j = 160 - 175. Which is smaller: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -115321?\nAnswer: -11531d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w**3 + 467996*w**2 + 4562844000*w - 1521000000 = 0. What is w?\nAnswer: -19500, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7904 - 7904 + 67*j to the form s*j + i and give s.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2781, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*r**3 - 595*r**3 + 977*r**3.\nAnswer: 44*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 5, k: 1, n: 1, i: 3}. Give prob of sequence rn.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) -17 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5)*w\/(w*w**(-23)\/w))**(-32))**(-1\/10) assuming w is positive.\nAnswer: w**(1952\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*a**2*n**2 - a**2*n*u - 1274*a**2*n - 3*a**2*u - 8*a**2 - 2*a*n*u + 2*n**3 - 178287*n**2*u + 3*u wrt n.\nAnswer: -14*a**2 + 12*n - 356574*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.452 - 0.352. Put 5, -0.098, n, 4 in descending order.\nAnswer: 5, 4, n, -0.098","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118\/5 greater than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -344916 or -345719?\nAnswer: -344916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002185928 rounded to 7 dps?\nAnswer: 0.0002186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 62419 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21901131 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5971531337.\nAnswer: 19, 314291123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 y when four letters picked without replacement from nynjyyzyy?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23428422 divided by -3?\nAnswer: 7809474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 3 (c) 18 (d) -4 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-418 - 148 - 191 + 153 - 417)*(-2*k**2 + 0*k**2 - k**2).\nAnswer: 3063*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f = 49*f - 117. Let t = -23 + 24. What is the highest common divisor of t and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -220*h**2 + 51*h**2 - 54 + 52*h**2 + 56*h**2 - 8*h + 60*h**2. Determine l(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -14. Suppose -2*y + 5*t + 21 = 0, -2*t - 11 = -y - 0*t. Let u = y - c. What is the remainder when 27 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l - 5*m = 27*l + 1833, -3*m - 4611 = -5*l. Is l a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*n**2*r**4 - 2*n**2*r**3 - 34*n**2*r - 3*n*r**2 - 5*r**4 + 3*r**2 wrt r.\nAnswer: -696*n**2*r - 12*n**2 - 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) 136.1 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -2*d**3\/3 + 3*d**2\/2 - 1. Let j be ((-4)\/(-4))\/(0 - 1). Let h = j - -4. Let c(s) = 3*s**2 - 5*s. What is h*c(m) + 5*q(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {i: 7, v: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**3 - 5*l**2 + 2*l. Let h be 2 + -5 - (-33)\/(3 + 0). What is the remainder when u(h) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(2448) - 1*(sqrt(2448) + (sqrt(2448) - (sqrt(2448) + 0))) - (-2 + -4 + (sqrt(2448) - sqrt(2448)*2)))**2.\nAnswer: -72*sqrt(17) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7578, 8247, 10070, 13623, 19482, 28223, 40422, 56655?\n\"Answer: 96*f**3 + f**2 - 6*f + 7487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100011101001101101 - 100?\nAnswer: -100100011101001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g + 4*g + 2*g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*a**5*s**2 - 25632079*a**3*s**2 - 26*a**2 - 113*a*s**2 - 1896*s**2 - 10 wrt a?\nAnswer: 480*a**2*s**2 - 153792474*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*k - 5563 - 3685. What is the greatest common divisor of 32 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7447723 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3 + 2*k**4 - 599*k**3 + k**4 + 307*k**3 + 300*k**3 as q*k + v + d*k**4 + r*k**2 + x*k**3 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - -2. Calculate the remainder when 49 is divided by 2\/11 + 540\/i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {t: 6, b: 2, i: 1, j: 1, l: 5, w: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1627167 (base 12) in base 16?\nAnswer: -452a1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-85)\/(-8) - 3\/(-8). Suppose -6*b = -p*b + 11250. Let u be b\/((3\/(-1))\/(-480)). Round u to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4927 and 1599?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 361717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y**3 - 7*y**3 + 3*y**3)*(-2 - 1 - 2) as v*y**3 + l + a*y + q*y**2 and give v.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -85? (a) -2\/11 (b) -1\/5 (c) 4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsdw when four letters picked without replacement from ddlddlslwlldldldl.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*o + 2)*(-6 + 6 - 5*o)*(0*o + 0*o - 2*o)*(20*o - 2*o + 2*o).\nAnswer: -400*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*s - 2 = 0, 0*w - 3*w = -s - 27. Suppose -w = -5*j + 5. Suppose j = -4*r - 13. Let v(z) = -z**2 - 4*z + 5. Calculate v(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42\/11, -0.0238, 0.02, -0.148.\nAnswer: -42\/11, -0.148, -0.0238, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttl when four letters picked without replacement from tqttqlttlqtq.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 356 - 371.92. Let p = 16 + x. Let w = p - 0.13. Put 4, -2, w in descending order.\nAnswer: 4, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = 0. Let q = 2 + r. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -1\/3*s**3 + 0 + 0*s - 1\/6*s**4 - 3*s**2 - 1\/24*s**5 - 1\/240*s**6. Determine g, given that z(g) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1262201572.7 to the nearest 100000.\nAnswer: -1262200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35787173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/6 and -39\/8356?\nAnswer: 25068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 y when four letters picked without replacement from {y: 2, z: 3, a: 15}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 5*o - 1. Let l be g(4). What is the third derivative of h**6 + 90*h**5 + l*h**2 - 90*h**5 wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 3*k**2 + k**2)*(2*k**2 - 3*k**2 + 2*k**2)*(-78 + 324 + 30) + 4*k**3 - 4*k**3 + k**4.\nAnswer: 277*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 33*u + 72.\nAnswer: 3*(u + 3)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (480\/(-75))\/(2\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871841173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.38695 to the nearest integer.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -9.8881 and 1.2585.\nAnswer: -8.6296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -4*x - 8, 0 = x + 819*a - 821*a + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**6\/6 + 5*q**5\/4 - 5*q**4\/4 - 15*q**3\/2 - 48*q - 5. Let z(y) be the first derivative of a(y). Factor z(l).\nAnswer: -5*l*(l - 3)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4153454 is divided by 344?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*u - 4*u + 83, -2*d + 3*u + 177 = 0. Let z = -356 - -699. What is the remainder when z is divided by d?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34983693 is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*o - 67 - 148 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5669.647t?\nAnswer: 5669647000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 416 + 3662532?\nAnswer: 3663150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35.595 and 2547.\nAnswer: 90660.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -x - 34, 6*x + 9*l - 4 = 7*l. Let j = 12 - 6. Which is the closest to -0.2? (a) x (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52821469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 63737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1497 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960 = 77*y - 62*y. Which is smaller: y or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 88340598.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 14, -0.1, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14777 - 9642. Is 79 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -348, -522, -696?\nAnswer: -870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/2 + 271505*p**3\/2 + 18431320301*p**2\/2 + 350101965679*p\/2 + 165835458441 = 0. What is p?\nAnswer: -135743, -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 7*z**2 - 4*z + 6. Calculate a(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + ((-48)\/(-240) - 68\/(-10)). Let z(f) = -2*f + 5. Let j(x) = -x - 1. Let y(m) = j(m) - z(m). Determine y(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u = 0. Suppose -3*j + 8 - 20 = u. Let y = 6 + j. Calculate the greatest common factor of y and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-1709*-7*6\/42 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 8 = 3*f. What is l in 1\/2*l**5 + 1\/2*l - 2*l**f - 2*l**4 + 3*l**3 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/128 and -121\/1728.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(2\/21))*p*p*p)**(-47)*(p\/(p*p**13))\/p*p*p**24*p assuming p is positive.\nAnswer: p**(-2803\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Suppose 0 = g + 5*x - 3, d*x = -g + x + 7. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*m - 22*m - 7*m)*(-5*m + 3*m - 2*m)*(3 - 8 + 4).\nAnswer: -56*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-42) - (-216)\/21. Is (8\/g)\/(12\/3270) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/49 - 2\/(-7). Let n be 0 + v + -2 + 2. Suppose -2*q + 34 = 2*j - 8, 2*j - 4*q - 24 = n. What is the remainder when j is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7503.3*0.7\nAnswer: 5252.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-60)\/(-540))\/(25\/6*10\/(-50)). What is the closest to 8 in 1\/25, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-2\/19)*(u\/u**15)\/u*(u\/(u*u**(1\/10)\/u))**36 assuming u is positive.\nAnswer: u**(1758\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14518 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 906307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, m: 1, p: 1}. What is prob of picking 1 m and 1 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*-8*(-13)\/104. Is z at least as big as 2\/1073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112585 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 0.651?\nAnswer: -34.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + (3 - 222\/72) and -87\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3*o - 3*o)*(-3*o - 2*o + 3*o)*(-1 + 3 - 3)*(-9 - 8 + 0)*(0 + 0 - 2).\nAnswer: -68*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 3 + 0)*(4*y + 3*y - 6*y) + (-12 + 12 - 2*y)*(1 + 0 + 0) as f + b*y and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/a**(-3\/2))\/a**(-7))\/(a\/a**10*a*a\/(a**8\/a)) assuming a is positive.\nAnswer: a**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.639 + 2.239. What is the third smallest value in m, -0.06, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/9 - 4\/45. Let i = 0.53 + 2.47. What is the third biggest value in 4, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 42957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 2532?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 4:15 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -97 + 112 + 124?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 12:04 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9580 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 56*h + 27. Let z = 44 - 56. Let p be 1 + z\/(-5 - -2). Is y(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201021011 (base 3) in base 5?\nAnswer: 422134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1440 is divided by 85?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 4. Let i be p(0). Let n = -199593.8 - -199594. Sort 5, -25, n, i in decreasing order.\nAnswer: 5, n, i, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + 1*((sqrt(99) - (-5 + sqrt(99) + sqrt(99)))**2 + sqrt(99)))*-4.\nAnswer: -512 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -1. Let b be f\/(-8) - 62\/(-8). Suppose b = g - 1. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -728533, -729233, -729919, -730585, -731225, -731833?\n\"Answer: d**3 + d**2 - 710*d - 727825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1383, 2768, 4147, 5520?\n\"Answer: -3*x**2 + 1394*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 284*g**2 - 2540*g + 6100.\nAnswer: -4*(g - 61)*(g - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 133 = -4*t. What is the remainder when 0\/(-1) - (t - 8) is divided by 1\/(1\/(-7)*-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.025515 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12129, 24317, 36489, 48639, 60761?\nAnswer: 72849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*l - 4*l + 6, -2*p + 5*l - 15 = 0. Suppose p = 4*z - 15 + 3. Let f(g) = 3*g**2 - 4*g + 4. Give f(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -7) + (4 - -2) + -18.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 198744 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 6*i - 3*i + 3*p, 2*p = -i + 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 298590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 123 and 0.2.\nAnswer: 24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-448)\/(-84))\/(-1*(-10)\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-432 - -418) + -2 + 15 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -148, -213, -274, -331, -384?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 + 199901*r\/4 + 1149563.\nAnswer: -(r - 199924)*(r + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12446, -24953, -37460, -49967, -62474?\nAnswer: -74981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44255 = -60*z + 158425. Calculate the smallest common multiple of 2 and z.\nAnswer: 3378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 48, 132, 254, 420?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0)*(x + 4*x - x) + (1 - 10 - 2)*(-810 + 13*x + 810) as k*x + p and give k.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2259120130?\nAnswer: 2, 5, 10891, 20743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-24)*(-4)\/3. Suppose -634*x = -637*x + 36. Let h be (-15 - -14)\/((-3)\/x*-14). Which is the nearest to -1\/4? (a) -2\/11 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 2. Let d be t(3). Sort 5, 3, d.\nAnswer: d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 16126*l - 274141. What is j(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -312 - -282. Which is greater: a or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 54*m + 202 = -3*j - 354, 3*j + m - 4*m - 24 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhpphphhhhphpphpph. Give prob of picking 4 p.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17261, -34515, -51767, -69017?\nAnswer: -86265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moou when four letters picked without replacement from oyyumoyouuyyyy?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.4, -0.0141, 2, -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**7\/630 + 4*t**6\/45 + 32*t**5\/15 + 3*t**4\/4 + t. Let j(c) be the third derivative of q(c). Factor j(g).\nAnswer: 4*(g + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. Suppose b*f - 23 = -5. Is 1815\/27 + (-2)\/f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 25412.8292 and -22.2?\nAnswer: 25435.0292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131642 (base 9) to base 11.\nAnswer: -55104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**5\/10 - p**4 - p**3 + p**2\/2 - 2*p - 1. Does 19 divide o(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 11*i + 4. What is the remainder when 99 is divided by d(5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 540948, 540958, 540990, 541056, 541168, 541338, 541578, 541900?\n\"Answer: 2*k**3 - k**2 - k + 540948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -735 (b) 2.4 (c) 2 (d) -2 (e) -0.3 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 522 (b) -0.08 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7608*w = 2906*w - 173974 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 10:27 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -6.4. Suppose 5 = 2*u - 5, -5*q + 5*u = 0. Suppose -2*l = -3*l + q. Which is the third smallest value? (a) l (b) 3\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 23*c**2 - 23*c + 14. Determine q(-22).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -31 - (-126 + 147).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 3, -6 in descending order.\nAnswer: 3, -4, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364175977?\nAnswer: 11, 33106907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) - (sqrt(243) + 0)) + sqrt(30)\/(sqrt(360) + sqrt(10)))**2 - ((5 + sqrt(6)\/sqrt(2))*1 + -2))*-2 + 4.\nAnswer: -17660\/49 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 841363?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 500*s - 243*s - 246*s as o + b*s and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 22*v - 90. Let a = -525 + 560. Is w(a) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37665 = 1008*c - 81*c + 103*c + 185*c for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(16)\/sqrt(8) + (sqrt(2)*4 + 5)**2 + ((sqrt(144)\/sqrt(4))\/sqrt(6) - sqrt(6))\/(sqrt(3) - 1*sqrt(3)*6).\nAnswer: 54 + 41*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -6*h, -5*h = 2*i - 678. Suppose -i = -4*t + 433. Calculate the remainder when t is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1260*z - 1. Let h(w) = 2520*w - 1. Let l(b) = -6*h(b) + 11*y(b). Let x be l(-2). Suppose -9*u + x = -4*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1059, 2137, 3207, 4263, 5299, 6309?\nAnswer: 7287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119 + -39. Let z be s - (1 + -2)\/1. Suppose -5*g - h + z = 0, g - 2*h = 13 + 12. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*2*((-6*(0 + sqrt(500)) - (sqrt(500) + sqrt(500) + -1 + 2)) + 4*-2*sqrt(500)*1))**2.\nAnswer: 1152000*sqrt(5) + 460803600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 42, 5, 0.44, 1, 0.1?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 780233 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: What is the second derivative of 27*y**5 + 27*y**4 - y**2 - 11*y - 131 wrt y?\nAnswer: 540*y**3 + 324*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1842.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2984?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -13124663 and -131246629\/10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.26 + -16.54. Let t = 11.8 + b. What is the nearest to -3 in 0.5, -0.05, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-5 - (10 - ((20 - -6) + -12))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 2629, 16, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2603\/110 + 451\/20. Calculate the common denominator of 1191\/(-120) - (-9)\/30 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -91, -87, -79?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 3:10 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight sevenths of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9405 + 9399. Which is smaller: 0.73 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3316.7 + 3317. What is the nearest to -0.3 in 0.06, d, -6, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22468936 is divided by 79?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - a - 3*a)*(-a - 1 + 1)*(49 - 53 - 129).\nAnswer: 133*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 70 = 4*c, -a - 4*a + 75 = 5*c. Let k = c + -2. Suppose -5*r + 4*r + 20 = 4*o, -5*o - 50 = -5*r. What is the lowest common multiple of r and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 + 48*t - 1. Calculate a(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -10*u + 133. Calculate q(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a + 0*a)*(-4*a**2 + 3*a**2 - a**2) - 62*a**2 + 62*a**2 + a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 23 = 2*b, 0 = -p - 5*b - 9192 + 9207 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1144670 - 1144670.1. Let m = -0.1 - -0.2. Sort 144, m, f in increasing order.\nAnswer: f, m, 144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 17*f**2 + 4*f - 5. Let h be n(1). Suppose -19*j = -20*j - h. Let x = j - -32. What is the remainder when 108 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13085*r**3 - 1630*r**2 + 2 wrt r?\nAnswer: -78510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34692 or -25833?\nAnswer: -34692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -32365, -33045, -33725, -34405, -35085, -35765?\n\"Answer: -680*p - 31685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*r - 4*r - 2, -2*r = 0. Let z = 31 + u. Calculate the lowest common multiple of z and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*j + 19*j + 22*j + (-3 - 1 + 3)*(-1 + 1 - 2*j) + 39 - 39 - 3*j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 w when three letters picked without replacement from jljjwnnjgnnnjwjngqj?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 112, 120, 128, 136?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*q + 9*q. Let t be (-2)\/(-12) + 442\/156. Let x(j) = j**3 - 8*j**2 + 8*j - 7. Let y be x(7). Sort q, t, y in decreasing order.\nAnswer: t, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -260*y**3 - 2505*y**2 - 10585*y - 11030. Let i(d) = 19*d**3 + 179*d**2 + 756*d + 788. Let m(t) = -55*i(t) - 4*u(t). Suppose m(k) = 0. Calculate k.\nAnswer: -2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36305324*w**3 + 31159078*w**2.\nAnswer: 217831944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-78 - -92) + -14?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7084 + 7138. Which is the fifth smallest value? (a) r (b) -3\/4 (c) -3\/2 (d) -2\/11 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 86. Let g = 419 + -414. Let r(b) = -4*b - g*b + 8*b - 2*b. What is r(i(u))?\nAnswer: 3*u - 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*q + 116*q - 5*q + 1 - 1302*q**3.\nAnswer: -1302*q**3 + 46*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 7 - 4)\/1. Round o to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x - 137 = -83 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -9. Suppose -5*u + 317 = -4*w + 330, 0 = -2*w + 4*u + 8. Solve g = -3*g + w*b + 24, -2*g + 16 = -v*b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -539 - -565. Suppose z*w = -4*w. Solve 5*q - 4*a + 1 = w, -2*q = -4*a + 7*a - 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -9.3. Let w = b + 1.7. Which is bigger: w or 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 805 times -0.2\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -101400.69 and 44576.493?\nAnswer: 145977.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3.426 + 4\nAnswer: 0.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from {z: 6, h: 4, l: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -16 - -9) + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**2 + a**2 - 4*a**2 + (-2*a + 4*a - 3*a)*(-4*a + 4*a - a) + (4*a + 0*a - a)*(-4*a + 0*a + 2*a) + a + 2*a**2 + 2 + 3*a - 3*a.\nAnswer: -2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + s - 1. Let g(h) = 8*h**2 - 2*h - 2. Let f(u) = -7*u**2 + u + 2. Let t(b) = -5*f(b) - 4*g(b). Give -t(q) + 4*y(q).\nAnswer: q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by -9?\nAnswer: 43\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 790080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**2. Let h(m) = 21*m. Let t(y) = -y**2 + 3*y. Let s(x) = h(x) - 7*t(x). What is k(s(v))?\nAnswer: -245*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3255136.\nAnswer: 2, 101723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -632*m - 200*m - 318*m - 648*m - 278 - m. Is k(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 6935041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2159901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p - 21*p + 27. Solve p*c - 18 = 3*l, 2*l + 3*l + 28 = 4*c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*s + 2*o, s + 233*o = 231*o - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -82*p + 23 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 24*f - 84 = 26*f + 67, 0 = -5*a + f + 83 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/sqrt(245)*1 + (sqrt(931) + sqrt(19) + -2)*-5)**2.\nAnswer: -5580*sqrt(19)\/7 + 1483879\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5782806 and 0.4.\nAnswer: -2313122.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 - 3. Suppose -2*a + 3*c = 5*c, -4*c = 0. What is the biggest value in x, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4 = 5*k, 2*k - 2258 + 2238 = -4*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 21*m**3\/5 + 32877*m**2 - 2824149*m\/5 + 80019 = 0.\nAnswer: -7845, 1\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(2 - (-8)\/(-6)). Suppose 772 = f*p - 587. List the prime factors of p.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 6*x + 6. Let m = 9 - 6. Let p(o) = m*o - 7*o**2 + o**3 + 4*o**2 + 0 - 2. Give p(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-20)*10\/6. Let k be 15\/(-3) + 3 + c. Suppose 4*w - 12 = -k*w, -t + 3*w = -174. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*s - 2*p + 24, -3*s - 4*p = 29. Let g(v) = v + 1 - 11*v**2 + 1 + 4*v**2 - v**3 - 3*v. Is g(s) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -132862\nAnswer: -3\/132862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/((-22)\/(-44)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/220 and 119\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2383750 and 355000.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*i**4*t - 2*b**3*i**3 + 1172*b**3*i*t - 2*b**3*t + 2*b**2*i**2*t - 101*i**3*t wrt i.\nAnswer: -24*b**3*i*t - 12*b**3 - 606*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**5\/3 - 80*j**4 - 3970*j**3\/3 - 25100*j**2\/3 - 11635*j + 64220\/3 = 0. Calculate j.\nAnswer: -19, -13, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -4. Let g = t - 6. Suppose n + g*i - 21 = 0, -2*n - 3*i + 6*i = -15. Calculate the lowest common multiple of 4 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -2)*15\/6. Suppose 3*g + 887 + 200 = 4*k, -5*k = -5*g - 1365. Is k\/(-1)*n\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**4 - 2*r**4 - r**4 + 4*r**3 + 3*r**4 - 4*r**3 + (-2 + 2 + 2*r**3)*(-r + 5*r - 5*r) to x*r**4 + n*r**3 + d*r + f*r**2 + z and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -9, 5, -0.3, 14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 36472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (19\/(-38))\/((-1)\/446) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 533 - -15101?\nAnswer: 20034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -6. Let l(f) = 2*f + 4*f + 3 - 4*f. Let q be l(b). Is -2\/15 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -234*x**4 - 316*x**2 + 928*x - 16?\nAnswer: -2808*x**2 - 632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64166161*f**3 - 780741*f**2 + 2*f + 10 wrt f?\nAnswer: 384996966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*q + 9, -6 = -w + 2*q - 1. Suppose 2*j - 8 = 4*l, -3*l = -3*j + 4 + 8. Find the third derivative of 0 - 4*p**2 + l + 0 - p**w wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -100*s - 33. Let v(c) = c - 2. Let p(r) = -i(r) + 6*v(r). What is the remainder when p(3) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 13. Let f(s) = -s + 7. Let d be 33\/4 - 11\/44. Suppose 4*o + d*o = -60. Give o*f(h) - 3*a(h).\nAnswer: -h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 7. What is s(10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27713, -43019, -58325, -73631, -88937?\n\"Answer: -15306*p - 12407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 + -145\/2. Which is the third smallest value? (a) u (b) 3\/8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v + 25. Let a be s(7). Suppose -a*n + 2887 + 19509 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97*v**2*w - 479*v**2 + 91847*w wrt v.\nAnswer: 194*v*w - 958*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 33?\nAnswer: -2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 272\/111?\nAnswer: 272\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -291160 divided by -36395\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-300)\/27)\/(-10))\/(((-140)\/390)\/(-7))?\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 5:16 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_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: Four letters picked without replacement from {y: 4}. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10) + (-32)\/(-20). Let k = 8 + 0. What is the greatest common factor of k and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -12*j - 125 - 61, 21*t + 3*j = 8*t - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 23. What is the common denominator of z\/14 - (-2075)\/210 and -93\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/2 + 18*g**2 - 75*g\/2 + 19 = 0. Calculate g.\nAnswer: -38, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13\/2)\/(9\/(-18)). Let o = i - -16. Let z = 3 + 1. What is the biggest value in o, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203 by -15.\nAnswer: 203\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 4:16 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = -16*h + 5 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i - 2. Let a(v) = v. Calculate o(a(f)).\nAnswer: 6*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -10*c - 17. Let z be o(-4). Suppose -r + s = -z, -5*s + 23 + 72 = 5*r. What is the remainder when r is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q + 3*q - 5*q**3 + 4*q**3 - 117*q**2 + 120*q**2 + q.\nAnswer: -q**3 + 3*q**2 + 23*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + -122?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 127*h**2 + 495*h - 369.\nAnswer: (h - 123)*(h - 3)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2122 - 2110. Solve 0 = 4*p - m + 16, 2*p + b = -p - 2*m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 11*w**3 + 8*w - 22. Let r(b) = -5*b + 15 - 38*b**3 - 43*b**3 - 39*b**3 - 44*b**3 + 157*b**3. Calculate -5*c(v) - 8*r(v).\nAnswer: v**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2020 (base 3) to base 12\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 113666*y + 2727992. Calculate x(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54090 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -3 - (-10 - -1). Suppose 6*g - 4 = 8*g. Sort 2, i, 6, g in ascending order.\nAnswer: g, 2, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01997 + -0.02. What is z rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/90*220\/(-8)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m*w - 40*m + 2*w**2 - 44*w + 8 with respect to w.\nAnswer: -3*m + 4*w - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -136867.4 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 560079 or 559647?\nAnswer: 559647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -1011102?\nAnswer: -1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 9*l**2 - l. Is 15 a factor of d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02624 rounded to 4 dps?\nAnswer: 0.0262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*n + 0*n = 0, 0 = -3*m - 3*n. Suppose m = 6*z - 2*z. Determine y so that z*y**3 + 3*y**3 - 4*y + 6*y**2 + 9*y**3 - 2*y**3 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18250405531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/22 and 73\/581966.\nAnswer: 581966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c - 9 + 15 - c - 4. What is v(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - x - 7*x + x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -u**2*x + u**2 - 42*u*x - 369*x wrt u?\nAnswer: -2*u*x + 2*u - 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14915 and 49001?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1997*h**3*w**3 + 9*h**2*w**2 + 45359*h*w**3 wrt h.\nAnswer: 11982*h*w**3 + 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 78. Let g be (-20 + 5)\/3*78\/(-10). Let x = -39 + g. Is 39 a factor of b(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 140*t**2 + 18*t + 39. List the prime factors of g(-3).\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 12338 - 12318 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 192 = -2*y. Let a = -52 - y. Is 17 a factor of a*(2 + 12\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 247\/2 - 30\/(-20). Let q be (-3)\/3 - 425\/p - -5. Suppose 9\/5*r**3 + 3\/5*r**4 + 9\/5*r**2 + q*r + 0 = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*z**4 + 5*z + z**4 - 4*z)*(0 - 7 - 5) to f*z**4 + t*z + i*z**3 + p + m*z**2 and give f.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 29 = -7. Suppose -16 = -4*q + t. Solve -i - 2*d + q = 0, 2*d + 0*d - 6 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 12 = -5*i. Let k be (i\/(-2) - 1)*-2. Sort k, -1, 1\/3 in descending order.\nAnswer: 1\/3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 420334 + -0.3.\nAnswer: 420333.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/21)\/((-6)\/28). Solve 0 = s - 2*s + 3, -n*s + 27 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2181 + 3105. Suppose -11*x = x + v. Are -76 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3*w - w)*(-20*w - 8 + 8) + 2*w**2 + 2*w**2 - 7*w**2 + (2*w - 3*w - w)*(-2*w + 3*w + 0*w).\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 + 1484*y\/5 - 1486\/5.\nAnswer: 2*(y - 1)*(y + 743)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8817, -35162, -79071, -140544, -219581?\nAnswer: -316182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**2 + 0*n**2 - 2*n**2 + (-1 - 2 - 11)*(-34 - 15*n + 34)*(-2*n + 13 + 1 + n) to g + j*n**2 + p*n and give p.\nAnswer: 2940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221568525?\nAnswer: 3, 5, 984749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.463 + 1.647. What is c rounded to 0 decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(90) - sqrt(10))\/(sqrt(12)\/(sqrt(18)\/sqrt(3) + sqrt(6))) + (4 + -2*sqrt(5) - sqrt(40)\/sqrt(32)) + 2)**2.\nAnswer: -126*sqrt(5) + 2349\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/8)*n**1*(n**5\/n)\/(n*(n\/(n**(-2)\/n))\/n*n*n) assuming n is positive.\nAnswer: n**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366386647?\nAnswer: 11, 3659, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*j + 164. Let a = -121 - -73. Let i = j + a. Does 34 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 599415.59108497?\nAnswer: -599417.59108497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 30 + 12 = 0. Suppose 5*d = v*d - 32. Suppose 5*l = d*i + 111 - 16, 0 = 3*l - 3*i - 48. Calculate the greatest common divisor of l and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -15, 398 in decreasing order.\nAnswer: 398, 4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from xrjrxmgxjmjv?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -5, 4*m - m - 3 = -4*j - 4 + 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g\/(g\/(g**(-5)\/g*g))*(g\/(g*g**(1\/14)*g))\/(g\/(g**(-2\/9)\/g)))**42 assuming g is positive.\nAnswer: g**(-1675\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89964 and 651780?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152216 and 62?\nAnswer: 4718696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*g = o + 56, 4*g - 16 = o. List the prime factors of 8\/o + (0 - 2112\/(-27)).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - ((-6)\/4 - -1)*0. Let d(c) = c**2 + 3. Let x be d(0). Put -6, x, q in decreasing order.\nAnswer: x, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 3 - 1 + 8 + 3. Let r be d(-7). Which is greater: 20 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8013513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119062\/855 + 16058\/95. Factor 0 + 2\/9*l**3 + a*l**2 + 8978\/9*l.\nAnswer: 2*l*(l + 67)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3 - 1. Suppose 3*s + 3 = t*s. Suppose -9*z + s*z = -24. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*f + u + 17, -5*u = -15. Suppose f - 1 = 2*v. Let n be (v + -3)*(-7)\/(-49). Do 1 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 63*j - 68*j + 161 = 0, m - 3*j + 115 - 19 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(44\/(-180))*-11. Let t be (-9)\/(u\/10) + 138\/33. Suppose 0 = z - 3*j + 1, -2*j = 4*z + 8 - 18. Solve -z*c = -4*f + 8, 2*f + 4 = c + t*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 303673834 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 343787 at least -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 228437\/(-5434) + 504\/12\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c**3 + 6*c**2 - 74*c + 38. Let h(a) = -2*a**3 - 2*a**2 + 24*a - 12. What is 16*h(j) + 5*i(j)?\nAnswer: -2*j**3 - 2*j**2 + 14*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5612663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190a (base 15) to base 2.\nAnswer: 1010100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2931*o + 252 - 96975 = 0 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -7 - -13) + -3 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**3 + 0*i**3 - i**3)*(4*i - 3*i - 3*i) - 7*i**4 + 14*i**4 + 10*i**4 to the form y*i**3 + x*i**4 + r + p*i + v*i**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (5 + 2*sqrt(2))*-1)**2.\nAnswer: 20*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 4\/2 + -4. Let v(z) = 5*z - 3. Let f be v(u). Suppose -4*s - f*c - 132 = -352, c - 2 = 0. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from {g: 5, i: 11}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9180 - 9179.9. Which is the third biggest value? (a) 0.5 (b) 0.02 (c) 3 (d) -0.5 (e) o\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 8:50 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from axaxxaaaalxl?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**2 - 880*s - 29900 = 0.\nAnswer: -130, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 6*u**2 - 31*u - 263. Let h be q(-7). Suppose h*o + 3796 = 16*o. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 45 - 1 + 44 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-9)\/z*z\/(z*z\/z**(-7)))\/(z*z*z**(-2)*z)**1*(z**(-2)\/(z*z**(-2)))\/(z**(-1\/4)\/z*z)**9 assuming z is positive.\nAnswer: z**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(595\/21)*(-35)\/(-18)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5941*x = 10262*x - 259260 for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(2\/3))\/z*z)\/z)**(35\/4)\/(z**(1\/3)\/(z\/z**14)) assuming z is positive.\nAnswer: z**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - b - 5*b)*(-2*b + 2*b - b)*(5 + 11 - 6) + (-6*b + 3*b + 2*b)*(-2*b - 2*b - b).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/6 (b) -1 (c) -1\/4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 7*a**2 + 11*a - 2. Let q be l(5). Suppose -15 = q*x, 2*x = 7*c - 4*c - 16. Let z = -0.2 - -0.3. What is the closest to -1 in 4, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.152125594 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 4, -3\/8, -2, -1\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(3\/(-24)*18 + 4). Factor -8*p**3 - 24 + 90*p**2 - 88*p**2 - p**3 + 16*p + f*p**3.\nAnswer: -2*(p - 2)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2295954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1037614 and 620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -197.8 - -184. Let o = -13.3 - t. What is the closest to 4 in -2, 8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxaxxxjxx. What is prob of sequence axxj?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*m = -2 + 18, 2*m = 5*w + 29. Let g be (-21)\/15 - 4\/(-10). Let x = g - w. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 110\/6 - 48\/36. Suppose 4 = -5*m + h + 25, 5*m = 2*h + a. Suppose -2*i + i + 115 = m*o, -4*o = -2*i + 244. Does 40 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 + 21 = -10*p + 100. Let g(h) = -h**2 + 8*h - 4. Let c be g(5). Suppose -c = 2*i - p. Solve 0 = b - i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 0.3, -2\/19, -3.4237876?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) - (sqrt(1573) + 3*(sqrt(1573) + (1*sqrt(1573) - sqrt(1573))))) + (sqrt(1573) + sqrt(1573)*-2)*2)**2 + 1.\nAnswer: 39326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**14)\/(l\/l**(-21\/2)))\/((l*(l*l**(-3\/16))\/l)\/(l*l\/l**(16\/5)*l)) assuming l is positive.\nAnswer: l**(199\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 552 + (4\/(-30) - (-558)\/135). Let g = 1022 - j. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-552)\/(-56))\/3 + (-4)\/14. Let 56 - 42*w**2 - 104*w - w**3 + l*w**3 + 14*w - 102 = 0. Calculate w.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3812, -7572, -11336, -15104, -18876?\n\"Answer: -2*t**2 - 3754*t - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 89aa (base 14) to base 8\nAnswer: 56472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 4*q**2 - 2*q - 1. Let f be t(3). What is the second smallest value in 0, f, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19912903*-0.3.\nAnswer: -5973870.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312336, -312397, -312458, -312519, -312580, -312641?\nAnswer: -312702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.77 + -0.23. Let v = -1 - 0. Which is the smallest value? (a) v (b) 0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-5)*2895\/12738\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908878788 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2. Let u(k) = k**2. Suppose 2 = 73*m - 74*m. Let c(f) = m*u(f) - v(f). Let p(d) = 3*d. Determine p(c(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 510*m**3 - 7*m**2 + 57*m - 7. Let u(p) = -510*p**3 + 6*p**2 - 53*p + 6. Let z(f) = -6*i(f) - 7*u(f). What is the second derivative of z(k) wrt k?\nAnswer: 3060*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -3\/2*u**2 + 0 - 7*u + 1\/6*u**3. Let m be z(6). Solve m*p - 4 = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34350 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 22 - (9 + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, 2, 0.2, 101.\nAnswer: -4, -0.5, 0.2, 2, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -849*y + 44856 = -807*y. Solve y*g + 63 = 1077*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*3*-3 + 4*-4*sqrt(187))\/(2*(2*sqrt(176) - sqrt(176))*4))**2.\nAnswer: 10625\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -263 + 266. Is 9\/(-15) - ((-3172)\/20 + z) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5*q - 39. Let z = q - -25. Calculate the greatest common factor of z and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2605*s**2 + 30*s + 6. Let h(m) = 2*m**2 - 5*m - 1. Determine -6*h(v) - u(v).\nAnswer: -2617*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*n, 2*n + 35 = -4*q + q. List the prime factors of (-18456)\/q + 30\/50.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -5\/6*n**3 - 3*n + 0 + 0*n**2. Let y(f) = -f. Determine w(y(g)).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*u + 194*u + 31836 = -1466*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 0*p + 0*p + (0*p + 3*p - 2*p)*(0 + 2 - 3) + 17*p - 3 - 5*p + 4.\nAnswer: 13*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, -2\/427, 0.5, -1\/4, -520, 0.13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 12*a + 388. Let h = a - 83. Suppose 2*w + 12*p - 166 = h*p, -3*w + 2*p = -252. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 6*o + 14. Let a(q) = -4*q**2 - 20*q - 44. Let f(z) = -6*a(z) - 20*h(z). Factor f(s).\nAnswer: 4*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, q: 1, d: 1, j: 4, v: 7, m: 2}. Give prob of picking 1 m, 1 v, and 1 d.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(r - r + 4*r)*(-2*r - 2*r**2 + 2*r).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26991633 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 28 = -143*w + 140*w, -5*w - 26 = 12*s for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, c: 4, n: 3, g: 1, a: 1, y: 2}. Give prob of picking 2 y, 1 a, and 1 c.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4\/2 - 15*w**3\/2 - 21537*w**2\/2 + 151151*w\/2 = 0?\nAnswer: -143, 0, 7, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 4*f + 7*f)*(-5*f + 0*f + 0*f)*(18*f**2 - 18*f**2 + 3*f**3).\nAnswer: -150*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6182*j**5*z**2 + j**5*z - 25*j**2*z**2 + j**2*z + 2*j*z**2 - 12*z**2 wrt j.\nAnswer: -370920*j**2*z**2 + 60*j**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -11, -862 in increasing order.\nAnswer: -862, -11, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*h**4 - 12*h**3 - 1771?\nAnswer: 92*h**3 - 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003301 rounded to 4 decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -30.999994. Round b to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.39 - -0.19. Let h = k + 0.2. Let u be (-8)\/(-10)*(-10 + 5). What is the third smallest value in u, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*r + 501 + 787 = -837. Let i(a) = -a**2 - 24*a - 119. What is i(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6\/7, 3\/4, 2\/9, -2.\nAnswer: -2, -1, -6\/7, 2\/9, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -1000744\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + (-126 - -61) + 87.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 times -6?\nAnswer: -1896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4867176 = 8*l + 16*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*l**3)*(-4*l + 0*l + 2*l)*(-38*l + 14*l - 9*l).\nAnswer: -132*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7ab - -12?\nAnswer: 7bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -727, -836, -1073, -1492, -2147, -3092, -4381, -6068?\n\"Answer: -9*y**3 - 10*y**2 - 16*y - 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1438054 + -154?\nAnswer: 1437800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1958\/110 - 11)*1090\/4.\nAnswer: 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**5 + 80*i**4 - 130*i**3 - 820*i**2 - 955*i - 340 = 0?\nAnswer: -17, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5 - 1145.3859.\nAnswer: -1143.8859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = -0*h - 3*h. Suppose o - o = 7*o. Suppose o = 7*j + j - 80. Calculate the highest common factor of h and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {r: 4, d: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**4)\/b*b)\/b**(-3))\/(b**1)**(-28) assuming b is positive.\nAnswer: b**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, t: 2, g: 2, s: 3}. Give prob of picking 2 g and 1 q.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(68)\/sqrt(144))*1.\nAnswer: 7*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/31 + -21\/806. Let i = -6\/13 - r. Which is the nearest to 5\/6? (a) 3 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.292972g to kilograms.\nAnswer: 0.000292972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -229940 - 7a?\nAnswer: -2299ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30058 a multiple of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 - (-68)\/200)\/(32\/(-20)) and -39\/55?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = 27*l + 198 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11212858 or 11212888?\nAnswer: 11212858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwx when three letters picked without replacement from {l: 5, r: 1, x: 1, v: 1, w: 2}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.07 - -23.93. Which is the closest to m? (a) 2 (b) -0.9 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**2 - w + 4. Let h(q) = 5*q**2 - 5. Calculate 2*h(l) + 3*z(l).\nAnswer: -5*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 98, 18363, -5 in increasing order.\nAnswer: -84, -5, 98, 18363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.7556 + 2044733.35.\nAnswer: 2044753.1056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -14. Let h(g) = g**2 + 2*g - 3. Let s be h(-5). Let b = s - 8. Calculate the remainder when p is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1477\/6 - -739\/3. Let m(y) be the second derivative of 0 + 1\/6*y**4 + w*y**3 - y - y**2 - 1\/20*y**5. Factor m(o).\nAnswer: -(o - 2)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2100310211313 - -2?\nAnswer: 2100310211321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10784, 41805, 93506, 165887, 258948?\n\"Answer: 10340*d**2 + d + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4548 is divided by 127?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -185*q + 80. Let t = -415 + 410. Is 15 a factor of w(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*i**4 - 34*i**5 - 743*i + 2 - 71*i**5 - 27*i**4 - 2 - 2*i**2 wrt i?\nAnswer: -6300*i**2 - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-8)\/360*5)\/((-69)\/9)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8692903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54246, -108490, -162732, -216972, -271210, -325446, -379680?\nAnswer: -433912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3283199 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -545.2 + 100.2. Let u = 443.13 + z. Round u to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 3*n**2. Let t be g(0). Suppose 4*r = -t*r + 12. Suppose 0 = -5*u + r*v + 404, -2*u - 3*v = -u - 70. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3\/4, -26, -1\/3 in decreasing order.\nAnswer: 2, 3\/4, -1\/3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 + -88. Solve -3*g - j*g = -25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8431, -5527, -2623, 281?\nAnswer: 3185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27144 and 1218?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 7, 18, -17, 1\/5, 9\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.2, -4865.433, 5?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.858 and -0.1?\nAnswer: 0.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2966 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 15*x. Let q = -2 - -6. Suppose v + 255 = q*v. Let r(b) = -v + b + 85. What is g(r(n))?\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -87357 to the nearest 100.\nAnswer: -87400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -19. Suppose -3*h = p - 16. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.9 minus -0.4660740902?\nAnswer: -8.4339259098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, 50, 252, 456, 662, 870, 1080?\nAnswer: 1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (7 - 9\/11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23635970 rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkkkpk. Give prob of picking 1 p and 2 k.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a decade in years?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*d**3 + 4 - 4 to the form k + q*d**2 + g*d**3 + j*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2611 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 7 = -5*h, 2*h - 4*z + 9*z + 26 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.374 to 1 decimal place.\nAnswer: 60.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94.7 - -95. Which is the third biggest value? (a) -1.6 (b) o (c) 2\/7 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4 + sqrt(2299)*1*-4 - 4*sqrt(2299)*2*3)*-4)**2.\nAnswer: 49280*sqrt(19) + 28839056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11875994 to the nearest integer?\nAnswer: 3446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 216\/431 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 228 + -218. Suppose -18*c + z = -16*c. Solve -4*y = -5*t + 20, -25 = t + 3*t + c*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (-23 - 6) - (0 - -1 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1045178 and 2351890.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/270 - (-9 - 4484\/285)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (116\/261)\/(12\/(-9))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**3 + 65930*b**2 + 461795*b - 527720 = 0.\nAnswer: -8, 1, 13193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4 + sqrt(475)*1 + 3*-2*sqrt(475))*1)**2 + 4.\nAnswer: -11887 - 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 0.1, 2\/45, 36\/19, -4.\nAnswer: -4, 2\/45, 0.1, 36\/19, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614*v = 576*v + 304. Calculate the remainder when 2326 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*z - 5*z - 834 = 0. Let d(o) = -o**3 + 5*o**2 - 2*o - 5. Let s(p) = p**3 - 6*p**2 + 3*p + 6. Give z*d(h) + 5*s(h).\nAnswer: -h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**4 + 5480862*l**3 + 428*l + 6368?\nAnswer: -36*l**2 + 32885172*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 3:43 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let k be (-2 + 4 - 7) + 2. Let x be g(k). Let p(u) = 2*u**3 - u**2 - 2*u. Is p(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 34335 + 12105 = 0. Let l = a - -3785. Suppose 0 = 5*o - l - 4713. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 4*k - 18, 1 = -2*n + 4*k - 7. Let h be n*12 - (71 - 75). Calculate the greatest common factor of h and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*h + 4*h. Suppose -4*v + 25 = 5*i - 0*v, -7 = 3*i - h*v. Let t be (-4)\/(12\/81) - i. What is t rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 762511 to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/y**1)))**(-15)\/(y**(-1)*y)**(-10)*(y*y**(-3\/2)*y*y*y**(-1))\/(y**(-4)*y*y**5) assuming y is positive.\nAnswer: y**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200400)\/(-22044) - (-3)\/((-3)\/8)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (289 - 289 - 28*n)*(5 - 3 - 6)*(-1 - 1 - 1).\nAnswer: -336*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 107?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (3 - 3 - (2 - 8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 120.76 - 199.73. Let s = i - -79. What is the closest to s in 2\/17, -2\/13, 0.3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -3 - (-1 + -3). Suppose -6*r = -3*r + d*o - 96, 3*o + 72 = 3*r. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183182211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 223865626*p**3 + 334272145 wrt p?\nAnswer: 671596878*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 57*f + 63. Let a be i(-29). Let c = -31 + a. Solve -c*p + p - 8 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 8*t + 8. Suppose -3*s + 16 = -5. What is the tens digit of y(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59194364 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1602 - 536 - 3*x**2 - 533 - 534 + 7170*x.\nAnswer: -3*x**2 + 7170*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 4. Let b = 13 + -19. Let o be g(b). Suppose 0*y = -2*y + o. What is the closest to 1 in -1, 1\/3, y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2746034 is divided by 164?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -468 + 937\/2. Let 1\/4*y**3 + i - 1\/4*y - 3\/4*y**2 + 1\/4*y**4 = 0. What is y?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 10176\/29 + (-1038)\/(-10034).\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -59. Let d = z + 29. Let j = -12 - -22. Calculate the smallest common multiple of d and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -41. Suppose c*w = 12*w + 240. Solve -k + w = -7*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 370*n - 8 - 635*n**2 - 184*n - 186*n + 637*n**2.\nAnswer: 2*n**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1312303122 - 0?\nAnswer: 1312303122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 8, 395*y = 392*y - 2*b - 31 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -8, -5, 2 in increasing order.\nAnswer: -31, -8, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202106 and 556.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 l, and 1 b when three letters picked without replacement from llcllbcbbbbbkcbbbb?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 28*r - 55534 = -231941. What are the prime factors of r?\nAnswer: 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0605 - -0.0005. Suppose p + 0*d - 30 = 5*d, 5*p - 35 = 2*d. Put g, -4, p in decreasing order.\nAnswer: p, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 2*q + 14, 5*i - 3*q + 627 = 608 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 3:32 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*z + 20, -4*z + 12 = -2*v. What is the nearest to v in 2\/7, 4\/5, -0.1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.33788 millilitres to litres.\nAnswer: 0.03033788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 10*c + 15 = 0. Suppose 2*f - 3*s + 12 = 0, 3 = -2*f + 2*s - c. Solve f = -0*j - 2*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from pimpppmpylpi.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -335 * -42429.\nAnswer: 14213715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -144*w + 1718. Calculate h(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -167 - -171. Suppose 3*s = 6, -3*c + y = -0*c - s. Solve -6 - c = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227973.\nAnswer: 3, 75991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -0.4 (b) -295 (c) -0.03 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t + t)*(-3 + 3 - 1) - 2*t + 3*t + 0*t + 1 - 1 + 2*t + 0*t - t + 3*t + 5*t - 2*t + 0*t + (-3*t + 0*t - t)*(0 - 2 + 1).\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 10*w - 7. Give d(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80827 and 38871?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5594107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k - 3. Let y be n(-2). Let l be y\/(18\/(-42)*(-1)\/3). Suppose 13*f - 16 = 5*f. Solve f*p - l = 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (630\/(-65))\/(-2) + 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 2. Let m be q(8). Let f(v) = -9*v - 16*v**2 - 16 + m - 5*v**2. Let i be f(-10). What is i rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixteenth of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**2 + 21*j + 63. What is v(11)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 19*y - 9. Let n(i) = 2*i**2 - 18*i - 13. Let g be n(9). What are the prime factors of x(g)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -7*y. Suppose y = 5*o - 2*o - 6. Find x, given that 8*x**2 + 23*x**3 - 3*x**3 + 5*x**4 + 12*x**o = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53 + (-1 - (3 + -3 + 1)).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94 + -90. Suppose -x*m = -3*y - 36, -4*y - 36 = -4*m - 0. Calculate the greatest common divisor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r - 5. Let n be 38\/(-10)*5\/(-1). Let t = n + -16. Let a(w) = 5*w + 4. Determine t*g(b) + 4*a(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -22*d + 9\/4*d**4 - 23\/15*d**6 + 0*d**2 + 0*d**5 + 0 + 0*d**3. Find the third derivative of q(p) wrt p.\nAnswer: -1104*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 354, 349, 326, 273, 178, 29, -186, -479?\nAnswer: -862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 1 - 9, 0 = 4*l + x - 9. Let d(f) = f**2 + f. Let w(y) = 2*y - 2*y + y**2 + y**3. Determine l*w(p) - d(p).\nAnswer: p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*h - 3*o - 31, 0 = 4*h + 2*o - 6. Let b = h - -57. Suppose 2*x = -19 + b. What is the highest common divisor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 + 3 - 3*c**2 + 0*c**2)*(10*c - 6*c**2 - 10*c + (0*c + 0*c + 2*c)*(-c - 3 + 3)) in the form h + a*c**2 + v*c**4 + f*c**3 + z*c and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpbobwb. Give prob of picking 1 w and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 54*j**2 - 520*j + 841. Determine s(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3458.05 rounded to the nearest 10?\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4\/2 + 125553*w**3\/2 - 1313692425*w**2\/2 + 1313566875*w\/2.\nAnswer: -3*w*(w - 20925)**2*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4460888 is divided by 2024?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 495\/2805*(14 - -3). Solve 5*t = d + 14, s*t - 3*d - 13 = -7*d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 13) to base 4\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 15*v + 21. Let y be m(13). What is the tens digit of (-1816)\/(-20) + ((-3)\/y)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-42)\/9 + (126\/(-21) - -10). Let u = 0.07 - 2.07. What is the biggest value in -7, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.175459 to two dps.\nAnswer: -67.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (2 - 3) - (9 + 11 + 0 + -76).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3702083689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/81 (b) 2\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507544769?\nAnswer: 509, 997141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 42*y + 36*y = 24, 4*u = -y - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6695387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 0.1, 5, 0.3 in descending order.\nAnswer: 5, 0.3, 0.1, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*g - 0*i + 45, 0 = 4*g - 4*i - 48. Let x = g - 4. Let w(n) be the first derivative of -3*n**2 + 2*n - 10735. Determine w(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a - 12*a - 6*a - 46*a - 29*a + 52*a - 2*a + a + 2*a + (-2 + 1 + 2)*(-2 + a + 2) to the form u + v*a and give v.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + 6*(sqrt(1053) + 1) + 3 + sqrt(1053)*1 + sqrt(1053) + (-5 + (sqrt(1053) + sqrt(1053)*2)*3)*3)*1 + 0)**2.\nAnswer: -3888*sqrt(13) + 1364724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 2457 - 969 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 50653514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.956 - 3.356. Which is the nearest to 2\/29? (a) d (b) -0.5 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -407*w - 4598. Determine t(-11).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8508371 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o**3 - 6*o**2 - o - 6. Let v(z) = 6*z**3 + 5*z**2 + 5. Let f be 1\/(6\/(-15)*(-5)\/(-10)). Give f*c(m) - 6*v(m).\nAnswer: -m**3 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + y + 11 = 0, 4*z + 0*y + 7 = y. Suppose -67*x = -41*x + 260. What is the closest to z in 0.1, 2\/9, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9683178433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 358252857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9705880*x + 40. Let f be r(17). Suppose 8*t = 13*t - f. What is t rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4245556 litres in millilitres?\nAnswer: 424.5556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/25 + (-23124)\/(-4935) and 20\/34*2\/(-16)?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*y - 10*y + 3*y)*(y - 4 + 4)*(-1 - 1 + 3)*(0*y**3 + y**3 + 0*y**3).\nAnswer: 21*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = x + 951 - 55, -a = -4*x - 209. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1035335.\nAnswer: 5, 7, 29581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3388 and 273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-18 + 4 - -11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2440, 4882, 7324, 9766, 12208?\n\"Answer: 2442*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1152625, -4610500, -10373625, -18442000?\nAnswer: -28815625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 4*x**2 - 3*x - 5. Let d be a(5). Suppose u = d + 8. Let r be -1 - 1 - (-28 + 0). Calculate the greatest common factor of r and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 c when four letters picked without replacement from {z: 1, c: 5, j: 8, e: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*x - 42*x + 12*x - 2*x**2 + 147*x**6 + 6*x wrt x.\nAnswer: 17640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2240)*1*6 - sqrt(2240)))\/(sqrt(343) + sqrt(343) + sqrt(343)*-1 + sqrt(175)*6).\nAnswer: -40*sqrt(5)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*d + 62. Solve t + 4*p = -21, 2*t - 5*p = -16 + d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 17*n**2 - n - 1. Let r be l(2). Let q = -197\/3 + r. Let a = -83 - -85. Put -0.2, a, q in descending order.\nAnswer: a, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2166 + 7452. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -3*z - 7. Let c be ((-2)\/(-33))\/(z\/24). Let n be (-1 - 2\/(-3))\/(-2). What is the smallest value in -0.3, n, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(sqrt(567)*-2*-3)**2*5*-4.\nAnswer: 4898880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6599 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {g: 2, e: 5, h: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/3))**(-48))**(-16)\/((h*(h*(h\/h**(1\/4))\/h)\/h)**(2\/77)*(h*h\/((h*h*h*h\/((h*h**1)\/h*h))\/h))**15) assuming h is positive.\nAnswer: h**(194807\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -46 - 18. Suppose l - a + 2*a = 2, -5*l - 3*a + c = 0. Suppose 11 - 56 = -l*y. Solve -5*p + 20 = 4*m, -4*m - y = -5*p - 29 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-9 + -2 + 19)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9 or 572824.11?\nAnswer: 572824.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3007, 4219, 6181, 8893, 12355?\n\"Answer: 375*v**2 + 87*v + 2545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2063052 by -34.\nAnswer: -60678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.253 + 3.747. Let k = 727 - 710.32. Let h = g - k. Round h to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 24*b**3 + 2*b + 19. Let g(x) = -156*x**3 - 5 - 71 - 8*x + 61*x**3. Let o(z) = 2*g(z) + 9*i(z). What is the second derivative of o(j) wrt j?\nAnswer: 156*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400 and 1343200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/7 of a week?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5256276969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 + 364*v**2 - 374*v - 1325. What is y(-183)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**4\/24 - 3*h**2 + 16. Let v(y) be the first derivative of 6*y**2 - 2. Give m(v(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 + 45*w - 435. Give b(-22).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and 17714.871?\nAnswer: 17708.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + sqrt(52))**2 + sqrt(13) + sqrt(13)*5 + 1 + 2 + (sqrt(1872) - (sqrt(1872) + -1 + sqrt(1872))) + 3.\nAnswer: -18*sqrt(13) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1296 and 1136?\nAnswer: 92016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {x: 2, h: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)*(112\/14 - 13). List the prime factors of 246 - ((-6 - s) + 5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 1564*g - 3122. Let r be w(2). Solve 5*f = -25, -r*m + 15 = -m - f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -38, -49, -56, -59?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5*h, -2*l - 4*h + 4 = -14. Solve -3*s - l = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/18751 and 45\/45223.\nAnswer: 768791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 605 - 451. Is j > 153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -15*q + 1. Suppose -446 = -3*m + 4*c, 642*c = 4*m + 638*c - 588. Calculate the remainder when m is divided by o(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*o = 53, 2*o + 2*o + 115 = 5*t. Suppose -2*g = q - t, -7 = -3*q - 2*g + 34. Let v = -1 + 4. Solve 3*r = -4*y - q, -13 = 2*r - v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 476, 477, 478, 479?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 12. Let o = g + 5. Sort -0.4, -0.2, o.\nAnswer: o, -0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 12*v**2 + 18*v - 214. Give g(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/241 and -56\/25.\nAnswer: 6025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/22 and 29\/160?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-16))\/((-6)\/48). Solve r = -2*u + 6, -4*u + r = -h*r - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + -29 + -204 + 85.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3039*t = -8714*t + 383448 + 218102 for t.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -25*y**4\/6 - 5*y**3 - y**2 + 24*y. Find the second derivative of j(t) wrt t.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*g**3 - g - 2*g**4 + 7*g**3 - g**2 - 4*g**3 to the form s*g + h + b*g**2 + f*g**4 + x*g**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((6 + 605\/(-100))*-20)\/(-1 - (-10)\/4). Let -z - 1\/3*u**2 + u = 0. Calculate u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**2 + 44*g - 30. Determine j(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2187 is divided by 139?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, i: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -10*u**3\/3 - u**2\/2 + 2*u. Let l = -3 - -2. Is z(l) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41, -112, -229, -398, -625, -916?\n\"Answer: -z**3 - 17*z**2 - 13*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + 28. Calculate the remainder when i is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 6*g - 1. Let f be l(5). Suppose -3*j + f = -5. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*u, -5*u - 32 = -5*j + 3. Suppose -j*k - 18 = -3*r, 2*k = 2*r + 7*k + 16. Let 4\/7*z**3 + 6\/7*z**r - 8\/7*z - 8\/7 - 2\/7*z**4 = 0. Calculate z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -9 and -5401.72595.\nAnswer: -5410.72595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.58 (b) -0.8 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 3*s - 7. Suppose -q = -5*z + 1, 3*z + 72 = -2*q + 18. Let h be 0 - 2 - 7\/(q\/(-9)). Give u(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 9 = 21*w. Is (w - 520)*19*2\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -3 - (-99 - -171 - 75) - (1 - -34)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 155043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 6) in base 14?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3450 divided by 690?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 92*z + 346. Let b be t(-4). Let j(l) = -9*l. Let s(u) = -2 + 2 - 4*u. What is b*s(k) - 4*j(k)?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 695.6 and 12?\nAnswer: 8347.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.8498 meters in nanometers?\nAnswer: 49849800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1122 and 59\/703494.\nAnswer: 703494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - 25\/(1275\/(-986))) + (-111)\/360?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6595, -4, -1, -4317, -5.\nAnswer: -4317, -5, -4, -1, 3, 6595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/8 + 38*3\/(-48) and ((-452)\/30)\/(16*4\/(-10))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, -18, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - -35) + -29 - 21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 329877.\nAnswer: 989631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5 = 0, 5*c + 15 = n - 2*n. Let k(y) = 3*y - 1. Suppose -3*w = -3*a - 3, 5*a - 8 = 3*a - 3*w. Let i be k(a). Put c, -1, i in descending order.\nAnswer: i, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -152 - -151.6. What is the third smallest value in 3, w, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.152881081 rounded to three decimal places?\nAnswer: -0.153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 18*z - 70 = 0. Suppose -z*y + 36 = 2*y. Solve 4*n = y*s + 12, 3*s + 7 = n + n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 4:49 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5 + 32311*p**4 + 420154*p**3 + 1874684*p**2 + 3490920*p + 2327328 = 0. What is p?\nAnswer: -6, -3, -2, 32324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*r = -2*r - 108, 3*r - 218 = 5*u. Let a = 237 + u. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729367.\nAnswer: 729367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*i + 283*i = 199*i - 370*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from {x: 2, p: 2, l: 2, r: 2, b: 1, g: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 7*y**2 + y**2)*(0*y + y - 3*y) + 4*y + 4*y**3 - 4*y + 0*y - 3*y**3 - 3*y + 2*y**3.\nAnswer: -3*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -810 by -13.\nAnswer: 810\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 569823730?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (21 - 13)) + (-2 - 3 - 6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 11349*r**2 + 50 - 59 as t*r + h + u*r**2 and give u.\nAnswer: -11349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 3977894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 96307 greater than 2504013\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178 + 181.23. Let j = -3.2298591 + f. What is j rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 - 153\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g - 11*g - 2 - 6.\nAnswer: -4*g - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 7*w + 1. What is the units digit of (-47)\/(-7) + w\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 17*b**2\/2 + 10*b - 5031. Calculate t(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7738858 divided by -36\nAnswer: -3869429\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + h + h)*(-2 + 4 - 1) - 6*h + 4*h + 3*h + (-3*h - 4*h + 5*h)*(-3 + 0 + 1) to c*h + i and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/7684 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/(-2) - (-10 + 16043\/1464)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1543.\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(-1*-15*18\/(-8100)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 753474684.9665 less than -5?\nAnswer: -753474689.9665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14426?\nAnswer: 2, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1, -1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1 - f**2 - f - 5*f - 2*f + 2*f. Let j be h(-7). Let y be j*(0 + 44\/(-16)). What is the highest common divisor of y and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3785 + 3749.19. Let i = f - -34. What is i rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6252100 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*p + 14399 = 51*p. Is p greater than -846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 41*g**4 - 7*g**3 - g + 7. Let y(v) = 20*v**4 - 4*v**3 - v + 4. Let p(u) = 4*f(u) - 7*y(u). What is the second derivative of p(a) wrt a?\nAnswer: 288*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from eesleeessseeesseeess?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*q + 1 + 25 = 0, -3*v = 2*q + 2. Suppose 7 = 3*d - v. Find the third derivative of -b**2 + 2*b**4 + 0*b**2 + d*b**2 wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 (base 11) in base 3?\nAnswer: 102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 12482 = -2*a, 4*a + 2*n + 1410 = 26374. What are the prime factors of a?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 3*t = -81, -3*b + 1444*t = 1440*t + 22 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -588053, -588023, -587991, -587957, -587921, -587883?\n\"Answer: n**2 + 27*n - 588081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 2*m**2 + 2*m + 5. Let o be p(0). Suppose 0 = 2*l - 8. Suppose l = d - 1. What is the greatest common divisor of o and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) 1\/4 (c) -4.94 (d) -0.2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 341 = -2*t + 363, -t - 19 = 3*r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -2\/9, 6\/13 in increasing order.\nAnswer: -4, -1, -2\/9, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-70)*-155 - 4.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 535273\/14 - 38227. What is the common denominator of -95\/724 and l?\nAnswer: 5068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d**3 + 4*d**3 - 4*d**3)*(-6*d**2 + 7*d**2 + 6*d**2 - d**2).\nAnswer: 48*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32768 + -0.018.\nAnswer: 32767.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*z**3 - 27*z**3 + 344*z**3 + 474*z**3.\nAnswer: 635*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i - 4*i - i)*(39*i**2 - 5*i**2 - 937*i**3 + 1 - 35*i**2) to the form a*i**2 + p + l*i**3 + j*i**4 + n*i and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-805)\/2576)\/((-5)\/(-6))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -435*d**2*k**3 - 63*d**2*n + 5*d**2 + 3*d*k**5 + 2*d*k - k**2*n + 11*k wrt k?\nAnswer: -2610*d**2*k + 60*d*k**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 603*l**4 - 380 wrt l.\nAnswer: 2412*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 465.168, -0.3, 0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -288 + 639. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j. Let s be y(-1). Let h be (-7 + -4)\/((-1)\/s). Suppose -2*p = 1 + 3, -g + h = -5*p. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-i - i + 0*i)*(-2 + 0 + 0) + 3 - 3 - i)*(-17*i**2 + 6*i**2 + 10*i**2) as h + b*i + x*i**3 + p*i**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -10 + 42 - (-9 - -3). Solve w*n = 43*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27136.80522 less than -422?\nAnswer: 26714.80522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(4 + (-1253)\/315)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1643 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-6)*-3*-4394. Suppose -4*z = -s - 1265. Let w = z + -11713\/6. What is the common denominator of -109\/6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -12*i + 418. Let u(f) = 13*f - 281. Let v(j) = -6*u(j) - 4*z(j). What is v(3)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 140*a - 756 = -37*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 499658390 divided by 13034\nAnswer: 38335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*x - i, -x - 8*i = -4*i - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-26)\/195)\/((-2)\/(-9)*-3). Which is the nearest to 2\/7? (a) -6 (b) n (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 0 - 948\/(-261 + 103). Let l = 40 + 58. Is l less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -1 - 6 - (6 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/608 or 0?\nAnswer: -1\/608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164766 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4446, -4443, -4440, -4437, -4434?\n\"Answer: 3*h - 4449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0 - 6. Suppose -2*y - u*y = 0. Suppose -3*b + 2*b + 3 = y. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -312 + 328. Solve 3*i + q = 7*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 0*a + 18. Let t be (-11)\/a + (-99)\/18 + 6. Let j(y) = -y**2 + 11*y - 7. Determine j(t).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-95)\/(-20) + (-9)\/12. Let q(d) = -k*d + 9*d + 9*d - 3*d. Let l(f) be the first derivative of f**2\/2 - 17. Determine q(l(v)).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-2) - 2)*-4. Suppose -x*a = -0*a - 56. Let v = a + -8. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 8) + (-11 - 2) - -32.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4114 by 11.\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6203227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46290443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 7*q**4\/24 + q**2. Let n be 87\/580 - 299\/260. Determine f(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, -4, 6093?\nAnswer: 6093","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 17744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 6*s - 349. What are the prime factors of s?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69999974 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3418 + 771\nAnswer: 4189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 250*l**2 + 6494*l - 1. Calculate a(-26).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 7033682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -3\/7 (b) -33 (c) 2\/11 (d) -2 (e) 25 (f) 4 (g) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4892, 9786, 14680, 19574, 24468?\nAnswer: 29362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3109 is divided by 56.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2187 + -2166. Calculate the remainder when 349 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(128)*1) + 5.\nAnswer: sqrt(3)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5.3. Let h = n + -0.2. Let r = 106 - 103. Which is the closest to h? (a) -3 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 234, 247, 274, 321, 394, 499, 642?\n\"Answer: w**3 + w**2 + 3*w + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/17329680 and 85\/15596712?\nAnswer: 155967120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31822613 or 31822612?\nAnswer: 31822613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(19) - (0 + sqrt(19))) + -4)**2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*s = 231. Calculate the greatest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*g + 74*g - 185*g)*(-3*g**4 - g**4 + 3*g**4 - g**4 - 2*g**3 + 2*g**3 + (3 - 3 + 1)*(-2*g**4 + 0*g**4 + g**4) - g + g + g**4).\nAnswer: 198*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1729 and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -317 + 317. Let v be 80\/(-32)*(-6)\/50. Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-141410)\/(-34) - (-114)\/(-969)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuaaaaauaaaaaaa. What is prob of picking 2 u and 1 a?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2937 + -0.0033. Let b = 0.13 + u. What is b rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 184639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34893?\nAnswer: 3, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 12. Let z be h(10). Suppose v = z*l + 7, l - 4 = -0*l + 2*v. Let o be (-2)\/((-5)\/(45\/l)). Let m(r) = 4*r + 3. Determine m(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1966, -3950, -5958, -7990, -10046, -12126?\nAnswer: -14230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40144 and 2807792.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5266.667 days?\nAnswer: 455040028800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -2389*m**6\/120 + 10307*m**4\/24 + 4187*m**2. Find the second derivative of d(k) wrt k.\nAnswer: -14334*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*w - 2 = 0, -w = 2*r + 2 - 12. Let b(n) = -n**3 + 13*n**2 + 25*n - 5. Let c be b(-2). Put -3, 3, r, c in decreasing order.\nAnswer: c, r, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6, -f + 4*t - 8*t + 7 = 0. Let d be 4\/(-8)*-1*f\/(-5). Sort -0.4, -3, d, -0.2 in descending order.\nAnswer: d, -0.2, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*h**3 - 1291106625\/2 - 5130225\/2*h - 6795\/2*h**2.\nAnswer: -3*(h + 755)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21791243.\nAnswer: 787, 27689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5902 and 8?\nAnswer: 23608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 61 = -t - 1188, 5*k + 5*t = 1085. Which is bigger: 238 or k?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:57 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 29 = 4*d, d + 4*x = 4*d + 38. Let o be (-2)\/d*3*-2. Let m be (-1 - 0)*(-38 - -35). Sort 2\/3, o, 0, m in increasing order.\nAnswer: o, 0, 2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 - 49435 + 22*t**2 + 49435 + 5*t**3 + 5*t**3.\nAnswer: 10*t**3 + 29*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from {q: 2, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9460 and 1.1.\nAnswer: 10406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -31, -14\/13551?\nAnswer: -14\/13551","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2*n - 19. Let w be -1 - (3 - n\/(-5)). What is the nearest to -1 in -1\/9, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/10 and -1 + 1\/4*41.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/9518?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 28 = 3*v. Let m(s) = s**3 + 7*s**2 - s + 14. What is the units digit of m(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2715 a factor of 145955685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45607*t = -45549*t + 500 - 1776 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 4:42 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 12*u**2 - 12*u - 11. Let v be j(-11). Suppose v*d - 5*d = -a + 67, 4*a + 2*d - 202 = 0. Calculate the highest common divisor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/5))\/(j*j**0)*(j*j\/j**(-2\/7))**(-39))\/((j**(2\/5)*j)**(-22))**26 assuming j is positive.\nAnswer: j**(24894\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 4, -97, 0.02, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 41*d**3 - d**2 + 20*d**3.\nAnswer: -21*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - ((-68 - -11) + -54)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -325 - 22315*u**4 + 0*u**2 + 22316*u**4 + 352 + 2*u + 6*u**2 to the form v*u**3 + y + a*u**4 + m*u**2 + x*u and give y.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/5 + 236*x**3 - 435027*x**2\/5 + 48134372*x\/5 - 63205324 = 0. Calculate x.\nAnswer: 7, 185, 494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 25.5. Let i = -10.749 + -0.251. Let p = i + r. Is 2 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3793, 3791, 3789?\nAnswer: 3787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -16 + 135. Calculate the highest common factor of 85 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756) - -1*(sqrt(756) + sqrt(756)*-1 + sqrt(756)) - sqrt(756)) + sqrt(756))\/(-6*sqrt(175)*-1).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/6 - 7381757*k\/3 - 54490336407049\/6 = 0.\nAnswer: -7381757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -314 (base 9) to base 10.\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5 - 75*s**4 + 858*s**3 - 2004*s**2 + 1224*s = 0.\nAnswer: -34, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -3 - (0 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 rounded to the nearest 10?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 4. Let c = t - -11. What is the nearest to -2\/29 in -0.5, -1\/4, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/45)\/(u\/(u*u**(-10)\/u)) assuming u is positive.\nAnswer: u**(-493\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by -1\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90.14 - 1.86. Let a = k + 19. Let q = a - -72.934. What is q rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98329 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**2 - 30*z + 26. What is f(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2. Let t(d) be the third derivative of d**4\/24 - 19*d**3\/6 - 202*d**2. Determine j(t(u)).\nAnswer: -u**2 + 38*u - 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-5))\/i**6*i**28*(i\/(i**(1\/4)*i))\/i)**37 assuming i is positive.\nAnswer: i**(3959\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1503304 and 204996.\nAnswer: 4509912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 + 90\/(-8). Let y(b) = b + 12. Let v be y(z). Is 0 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2587271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 4*w = 0, 3210 = l + 3*w + 3188 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*w + 68, 4*w - 5*t - 74 = w. Suppose 6118 = -11*i + w*i. Let o = i - 6073\/7. Find the common denominator of 13\/9 and o.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 2*d**5\/5 - 2*d. Let n be j(-2). What are the prime factors of n\/(-6)*(-12)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a + 5. Let n be x(8). Let g = -6 - n. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -667 - -669. What is the closest to -1 in s, 23\/2, -6.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-9) - 1403612\/(-36).\nAnswer: 127, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1013\/6078)\/(2\/3703743*9\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/3, -32, -2\/9, -5 in descending order.\nAnswer: 0, -2\/9, -1\/3, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 8*m - 2. Let h(u) = 12*u**2 + 39*u + 64. Determine h(p) + 5*y(p).\nAnswer: 22*p**2 - p + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2947574 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-6)*(-3)\/1. Suppose -352 = 10*i - 26*i. Let r = i - u. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-87)\/144*(-3 + 27 + -15) and 13\/16278.\nAnswer: 130224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010121 - 212222?\nAnswer: -10000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*l - 54 = -0*y, y = -2*l + 69. Calculate the remainder when (1 + -3)*y\/(-2) is divided by 12\/20 + 1818\/45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/719140 and -31\/20?\nAnswer: 719140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*f - 10 = -6, -5*s - f = -23. Sort 6, -4, s in decreasing order.\nAnswer: 6, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 7:37 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a - 3. What is g(-5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*u**2 - 49*u**2 + 166*u**2 - 58*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*b + 1 - 5 = 66 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3219*h**2 + 183*h + 3.\nAnswer: 6438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/6 of a day in hours?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*k + 678807 = -169359. Is 66 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419078176 to the power of 1\/2, to the nearest integer?\nAnswer: 20471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2317 is divided by 290?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**5\/100 - g**4\/60 + g**3\/30 + g**2\/10 + 3*g + 2. Let w(z) be the first derivative of v(z). Let w(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -10 (c) -0.3 (d) 0.3 (e) -4 (f) 6.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21729253 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35821.89 + -36004. What is c rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17322052320 from -4.\nAnswer: -17322052324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - d + 100. Suppose 3*x = -2*x + d. Let y be (-3)\/6*x*1. Let n(f) = -f + 5. Determine n(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20718)\/(-72) - (-9)\/36 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u - 23*u + 64*u**3.\nAnswer: 64*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**2\/2 + 8*k + 2. Let b(j) = 3*j + 23. Calculate -6*b(f) + 17*n(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 109776 = 13*t + x, 18 = 3*x. What are the prime factors of t?\nAnswer: 2, 3, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufoododdoowuowuwp. Give prob of sequence dd.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**3 - 6*h**2 + 2*h + 6 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*n + 0 - 4*n + 6*n - 3*n + (2*n + 2*n - 2*n)*(4 - 5 - 1) + 2*n + 3*n - 4*n - 48579*n - 3 - 45221*n + 150646*n - 40196*n.\nAnswer: 16648*n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 + 2 - (2 - 5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2350)\/(-940)*3*4\/1230\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(192) + sqrt(192) + -2*-2*sqrt(192))*-4)**2.\nAnswer: 1769472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a minute in seconds?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3823*b - 3825*b + 34 + 0)*(-21 + 9 + 5).\nAnswer: 14*b - 238","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/131778576 and -25\/197667864.\nAnswer: 395335728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -2. Let o = -1.99999875 - r. Round o to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1139*y + 13288 + 37441 - 79351 - 127421 = 0 for y.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026970347 rounded to four decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 666 = -736 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -315743883 by 1156571.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20366 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/9*(-5)\/(-30). Put -2\/3, -5, g in decreasing order.\nAnswer: g, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, -0.1, 0.4, -6\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 6. Let o = -1 + 3. Let x = o - 3. Which is the closest to x? (a) -2 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) - (-14)\/6. Let c = 0 + z. Suppose 70 = 5*j + 2*h, 16 = c*j - 5*h + h. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15580 and 1900.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 + -72. Suppose 5*q + 2*d = 110, 3*d + 7 = -q + w. Let v(b) = -38*b + q*b + 15*b. Determine v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283 + 110 + 2*i + 173.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 378885.\nAnswer: 378888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -34. Suppose z + 200 = 3*r - 2*v, -v = 4*r - 291. What are the prime factors of r?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31948140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/6)\/((-1)\/(-9)). Let h(p) = p**2 - 22*p + 95. Let t be h(17). Calculate the greatest common factor of g and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/7)*s**3)\/(s**(-2\/15)\/s**9))**(-5\/6) assuming s is positive.\nAnswer: s**(-1349\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:14 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 36 = -4*m, -4*m = -z - 35 + 11 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3906.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -22*g - 2. Suppose -2*w - 5*v + 62 = 0, 0 = -5*w - 0*v + 5*v + 190. Suppose -81*s + 90*s = w. Calculate the remainder when i(-4) is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4499344.04 rounded to the nearest 1000?\nAnswer: 4499000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 427951\/100125 - 1938\/445. Calculate the common denominator of r and -121\/2000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-5 - (8 - (5 + 2)). Let r be k\/(-9)*(78\/(-16))\/(-13). Let 1\/4 - r*g**2 + 0*g = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 9:43 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnjjnnnnnnjnnnn. What is prob of picking 3 n?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5688*h + 5685*h + 48 = 0, -2*h - 48 = -10*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 n when four letters picked without replacement from wnnnnkkknwnnww.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12209 divided by 29\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*b - 13104 = 20*b - 26*b + 73*b for b.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**2 - c - 2. Let x be w(-2). Suppose 7 = -o + x. Let z be 7 + (3 - 1)\/(-2). Solve -z*b - 18 = -b - 2*f, 2*b + f = -o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1341349*d*g**3 + d*g**2 - 5571*d + 20*g**2 wrt g.\nAnswer: 8048094*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d - 61 = 0. What are the prime factors of d?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 377*k + 5417. Calculate i(16).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 + -9 - (-7 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from ssyjssy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -11*h - 6*h - 10 + 14*h + h**2. Let z be v(5). Suppose -4*d - d + 10 = z, 5*d + 310 = 4*t. Calculate the highest common divisor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + 0 + sqrt(162) + 0 + (sqrt(128) + -1)**2.\nAnswer: 2*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 49*q**2 - 44*q + 171. Determine p(-48).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-13)\/i)\/i)\/(i*i**(-2))*((i\/(i*i*i\/(i\/((i*(i\/(i\/(i**(-3)*i)))\/i)\/i*i))))\/i)\/i**(2\/23) assuming i is positive.\nAnswer: i**(-324\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**2\/2 + 4*n + 537. Calculate r(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1036805094 by 6.\nAnswer: -172800849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3900 = 155*j - 145*j - 335*j. Suppose 3*u - 12 = -u. Solve -15*s - u = -j*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4712\/133)\/(56\/98).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010011011 (base 2) in base 8?\nAnswer: -1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(20) + (sqrt(30)\/sqrt(2) - sqrt(15))\/sqrt(3))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34079?\nAnswer: 53, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 - 27 + 20)*(169 - 169 + a).\nAnswer: -42*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -4. Let q(y) = -65 + 74 + 14*y**2 + 47*y - y**3 - 46*y. Is q(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x - 12 = 0. Let r(s) = -2*s - 14. Let w be r(-7). Suppose 3*z + 16 - 1 = w. Put -8, z, x in decreasing order.\nAnswer: x, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Suppose 2*r - 5*j - 15 = 0, 0 = -4*r - j - 2*j + 17. Let a(t) = 4 - 1 + t**z - r*t - 2*t**2. Calculate a(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 1, t: 2, n: 1, d: 1, q: 2}. Give prob of picking 1 n and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 15*x + 34*x + 11*x - 62*x.\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 13, x: 2, k: 5}. What is prob of sequence xk?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10 = -v. Suppose v*f = -2*q - 2*q + 169, -f - 5*q + 38 = 0. Solve -3*n - 4*w = 2*n - f, 11 = 3*n - 2*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320484.\nAnswer: 2, 3, 17, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 12 - 5*s - 5*s + 4*s - s - s + (5*s - 2*s - s)*(-3 + 0 + 4) - s + 0*s + 0*s - 3*s - 3*s + 4*s to m*s + z and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 278*o + 145*o + 20 + 142*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 210 = -5*u. Let m = 44 + u. Let z be 2\/((-82)\/m + -3). Solve -f = -5*p - 14 + 43, -3*f - 5*p = -z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2))\/(9\/66). Let j = 80\/21 - z. Let g = 1.94 + 0.06. Which is the third smallest value? (a) 0.1 (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + v + 3. Let j be h(0). Solve -j = -5*p + 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-8) + 210\/34*4\/6\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b + 26. Let x be (-2 + -3 + -1)\/1. Let z be t(x). What is the third derivative of p**2 - 4*p**4 + 17*p**2 - 7*p**z - 4*p**4 wrt p?\nAnswer: -192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6*15\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -5*q**7\/42 + 16*q**3\/3 - 21*q**2\/2 - 37*q. Let h(d) be the first derivative of m(d). What is the derivative of h(l) wrt l?\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 5, -33, -3.\nAnswer: -33, -3, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -388, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/2 - 32*m**3 - 224*m**2 = 0. What is m?\nAnswer: -56, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1024310 (base 5) to base 6.\nAnswer: 212451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 155434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 2295 = 23*o. What are the prime factors of 81\/o + 4342\/5?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3201 - -5247. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - z + 1. Suppose 0 = -24*w - 111267 + 111171. Let q(m) = 15*m**2 + m - 4. Give w*r(h) - q(h).\nAnswer: -11*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2102 + -10030?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3*a + 3 - 1, -3*k - 4*a = -14. Let l be (-1 + (-1)\/(-1))*k\/(-6). Let m = -1.19 + 0.69. What is the fourth biggest value in l, -0.4, -0.04, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**4\/4 + 4*a**3 + 39*a**2\/2 + 51*a - 6438. Give d(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 58 = 12*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmllg. What is prob of sequence lmg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 156\/10*21\/28 and 3 + 253\/(-18) + 3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:19 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16, -60 in increasing order.\nAnswer: -60, -16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -555*p**3 - 2*p**2 - 17*p - 17. Calculate o(-1).\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o. Let m(q) = -7*q + 1. Give -2*m(j) + 3*z(j).\nAnswer: -4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118415?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 17. Suppose 0*l - l + 5*w - 18 = 0, -3*l - w = -h. Factor 0 + 2\/11*x**l + 0*x.\nAnswer: 2*x**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*n = -3*g - 4*n - 15*n - 125, 5*n - 35 = g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*16\/1080*(-315)\/2.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/25)\/((6\/6)\/(-3))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:39 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*n**3 + 2*n**4 - 8*n**3 - n**2 - 2*n - 2 - 13*n**3 in the form i + b*n**2 + u*n**3 + g*n**4 + s*n and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + 3 + 1 + -3. Let i(h) be the second derivative of h**5\/20 - h**3\/3 - 2*h**2 - h. Let z(n) = -7 - 6*n - 4 + 4*n**3 - n**3. What is s*i(y) - 3*z(y)?\nAnswer: -y**3 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 1 - 11. Let a(c) = -2*c**2 + 6*c - m*c - 3*c + c - 1. Give a(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(2\/13))\/w)\/w)\/((w*w*w**(-2\/7)*w)\/w))**(1\/3)\/((w**(2\/5))**(4\/15))**(-45) assuming w is positive.\nAnswer: w**(1749\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3312022 - 20323?\nAnswer: 3231033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 2*f + 43 = 0, 6*z + 9*f + 53 = 30 - 95 - 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebbebbbbobnqnbnbeeb. Give prob of sequence eoqe.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -196 - -311. Let s = 268 - u. Let o = s - 1379\/9. Which is the nearest to 3? (a) o (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 5. Let z(r) = 3. Let s(b) = -3*c(b) - 5*z(b). Suppose 3*y = w - 7, 18*y - 17*y = w - 3. Give s(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**4 - 1573*j**5 + 1580*j**5 - 2*j**4 + (-j**4 + j**4 + j**4)*(j + j - 4*j).\nAnswer: 5*j**5 - 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -32*b - 822. What is the remainder when 1947 is divided by d(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 9*x**2 - 2*x - 19. Determine m(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6256 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16*4\/20)\/((-4)\/1310). What is the highest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 11:10 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 6:01 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 3*d - 4. Determine g(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 5, -10, 4 in decreasing order.\nAnswer: 5, 4, -10, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 124\/3 - 41. Let o(k) be the second derivative of 3*k + 0*k**4 - i*k**3 + 1\/2*k**2 + 0 - 3\/10*k**5. Determine o(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 1 + -3 - -2*sqrt(6)\/sqrt(2).\nAnswer: -2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 152*s - 1. Let g be h(0). Let o(c) = -19*c**3 + c. Calculate o(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 1)*(-3*x**2 + x**2 + 0*x**2) - 2*x**2 + 3*x**2 - 5*x**2 as q*x**2 + o*x + k and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - s - 1. Let b(z) = 5*z**2 - 7*z - 3. Let x be 5\/(-15)*(-11 - 1). What is x*a(v) - b(v)?\nAnswer: -v**2 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 2\/24421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 326 and 52?\nAnswer: 8476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46\/3 + -181\/12. Let v = -11931 + 11932. Factor -v + l*g**2 + 0*g.\nAnswer: (g - 2)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49603000 rounded to the nearest one million?\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 - v**4 + v**4 + 4*v**5 - 4*v**5 - v**5 + v**5 - 2*v**3 + 2*v**3 + (-v**2 + 5*v**2 - 2*v**2)*(-v**3 - 3 + 3) - 7*v**5 + 25 - 25.\nAnswer: -11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (18 + -13 - 13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-50)*-10*1\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 870\/13 + -7778\/117. Let v = -2 + 0. Which is the third smallest value? (a) -11 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 16. Let o be t(-12). Let j be 3\/6*(2 - o). Let w be -3 - (-3 + 0\/(-3)). Sort w, j, 5 in descending order.\nAnswer: 5, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a78 (base 13) to base 6.\nAnswer: 12141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (63 + -47 - 26).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**4\/12 + 11*n**2\/2 - 4*n. Find the first derivative of x(d) wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/4*32\/(-12). What is the tens digit of 0\/(-1 - 0) - m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-7) - 300\/700.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/4 and 41\/165100?\nAnswer: 165100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -3, -370, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + ((sqrt(13) - (1 + sqrt(26)\/sqrt(2))) + 2)**2 + sqrt(130)\/(sqrt(40)*1).\nAnswer: -3 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 118258507?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*r + 40. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -18 - 20. Suppose -4*s + 40 = 4*k, k - 21 = 5*s + q. Let z(a) = 4*a + 193. What is the remainder when z(-26) is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(29 - 1)*-1. Let v be (-1)\/3 + h\/(-12). Suppose -94 = -4*a + n - 6, v*a + n = 44. Calculate the smallest common multiple of a and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {i: 9, a: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 190 - 192. Is 18506\/19*(-1)\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a week in hours?\nAnswer: 4284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2142929 millilitres?\nAnswer: 0.0002142929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r = -10*r + 20*r - 54. Let y(k) = -2*k**3 - 2*k**2 + 8*k - 2. Determine y(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from rrqqrbrrrrqjrrornrr.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 734.642867 to two decimal places.\nAnswer: 734.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*v + 3*t, -3*t + 4*t = 5. Let y be (4\/6)\/((-8)\/(-24)*v). What is the nearest to -1\/4 in -2, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61191084 is divided by 713.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**4 + 729*l**3 - 9036*l**2 + 36528*l - 48960 = 0.\nAnswer: -255, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/5)*b**3*(b\/(b\/((b\/b**(6\/7)*b*b)\/b)))\/(b*b**(1\/4)) assuming b is positive.\nAnswer: b**(321\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -185\/2 - -89. Let y(s) = s**3 + 5*s**2 - s - 2. Let d be y(-5). Which is the second biggest value? (a) d (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12520 and 2395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, j: 2, y: 5}. What is prob of sequence yj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.71957 litres in millilitres?\nAnswer: 2719.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 15*s**2 - 33*s + 72. Let c be n(6). What is the highest common factor of 3174 and c?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109 + -82. Let r = 9 + -4. Suppose -b + 3*w + 109 = -14, -r*b - w + 679 = 0. What is the greatest common divisor of b and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -512\/77?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 112, -2, 2, 8, 3 in descending order.\nAnswer: 112, 8, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -2754433, 3, 5 in decreasing order.\nAnswer: 5, 4, 3, 0, -2754433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 516*a**2 + 41*a + 199. Is k(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - p + 483 + p**2 - 484. Let s(c) = 10*c**2 - 10*c - 10. Calculate -s(j) + 10*y(j).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 8*r**2 - 4*r - 11. Determine a(-6).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232 + -20301003?\nAnswer: -20300111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21195 - 21076.77. Let q = 0.77 + v. Let f = q - 119.00051. What is f rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 12 and 893\/73 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 19*g**2. Let d(s) = -2*s - 26. Calculate d(a(h)).\nAnswer: -38*h**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*f**4*z - 35*f**4 - 334*f**3*z + f**3 + 16838*f**2 + 90*f*z wrt f.\nAnswer: 336*f*z - 840*f - 2004*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0.5. What is the third smallest value in -0.3, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + -2*(-3)\/6. Let t = z + -6. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-2)*12\/(-15). Let z be (8\/180)\/(g\/6). Let v be (-4 - (-105)\/24) + (-37)\/(-8). Put v, z, 4 in decreasing order.\nAnswer: v, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3291 is divided by 157?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 15. Let i be u(12). Suppose -i = -3*y + 2*y - l, 0 = 5*y - 3*l - 23. Solve 4\/3*b**3 - 2\/3*b**y + 2\/3 - 4\/3*b + 0*b**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 10*u - 28. Let z be a(-5). Calculate the remainder when (-2)\/3 - -137*(-1)\/z is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1504576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 6*b**2 - 2*b + 7. Let l = 166 - 160. Give h(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 612b8 - -13?\nAnswer: 6130b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - g = -4*a, 0 = -5*g + 10. Solve -a*x + 6 = d - 5*d, 12 = 4*x - 4*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2099889 and 1254?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 - 247. Let p(l) = l + 64. What is p(d(v))?\nAnswer: 4*v**2 - 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g + 19 = 2*i, 0 = -2*i + g + 49. Suppose -3*b - 273 = -999. Calculate the highest common factor of b and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 - 8*j. Let u(l) be the third derivative of l**4\/12 + 266*l**2. Determine u(c(x)).\nAnswer: 6*x**2 - 16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*s - 5 = 43*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*x + 81 + 14 = -234 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1034*g + 7239. Let u be m(-7). What is the third biggest value in 2, u, 0, 153\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13682b1 (base 12) to base 16.\nAnswer: 3b11a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-1562 - -1576) + (1 - -53)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 35, 18, -17, -76, -165, -290, -457?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 259*k**5\/20 + 228*k**2 - 498*k. Differentiate i(t) with respect to t.\nAnswer: 777*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 468.3869 litres to millilitres.\nAnswer: 468386.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -32*f - 409. Let q be i(-13). Calculate the highest common divisor of q and 13027.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 513 (b) 5 (c) -2\/19 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76470682 - 43*n**2 - 76470682.\nAnswer: -43*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**2 + 22*z - 6. Let u(b) = -2*b**2 - b - 1. What is -f(y) + 3*u(y)?\nAnswer: -y**2 - 25*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 7*i + 64. Solve 6 = -x + 2*y, 0 = 2*y - i + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4097 or -4096?\nAnswer: -4097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3061 divided by 481?\nAnswer: -3061\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/30370 and 23\/20060.\nAnswer: 60922220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -552, -562, -572, -582?\n\"Answer: -10*n - 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -13. Suppose 3*u - 225 = -m*u. Suppose 3*z = u - 9. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 543 (b) 4 (c) -13 (d) 14 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122331254003 - 5?\nAnswer: 122331253554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -971*d + 1007*d = -720 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w**3 - 12*w**3 + 7*w - 7*w.\nAnswer: -38*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 150843 - 94863. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.469 + -3.531. What is the closest to -0.7 in 2, m, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.9, -1\/2, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.8 and 18.\nAnswer: -68.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhkqkqq. Give prob of sequence qh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 35 = 3*f, 2*f - 283 = 5*x - 251. Let u(v) be the second derivative of -1\/3*v**3 - 2\/5*v**5 - 1\/10*v**6 + f*v + 0 - 7\/12*v**4 + 0*v**2. Factor u(a).\nAnswer: -a*(a + 1)**2*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/8 and -4 - (187\/6)\/((-176)\/33)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + 451 + 361 - 1504 as a*x**2 + o*x + t and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (662\/(-6))\/((-3)\/18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 23*k + 6. Let o(d) = -d**2 + 25*d + 5. Let q(f) = 2*o(f) - 3*t(f). What is q(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 40. Let f(x) = -x**3 + 15*x**2 + 19*x - 33. Calculate the remainder when 59 is divided by f(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 95*k**2 + 19*k + 19. Let a(h) = 16*h**2 + 3*h + 3. What is 19*a(j) - 3*p(j)?\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**5\/130 - 419*j**4\/78 - 93*j**3\/13 + 4*j**2 - j. Find n such that m(n) = 0.\nAnswer: -279, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40120 - -34?\nAnswer: -40042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffdd when four letters picked without replacement from ifodfdfdofionion?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -769, 4, 5, -4 in descending order.\nAnswer: 5, 4, -4, -769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3758885*a*k*u**2 + 4*k*u + 7*u**2 - 387*u wrt a?\nAnswer: -3758885*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 770 = 3*o, -5*o + 6*o - 4 = 0. Round i to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -2\/13, 94.7?\nAnswer: 94.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, o: 3}. Give prob of picking 1 z and 2 o.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2240445*a**4 - 25*a**3 + 68438548*a.\nAnswer: -26885340*a**2 - 150*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 512239982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**4\/114 + 2*p**3\/57 + 43*p. Factor a(d).\nAnswer: -2*d*(d - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - (6\/3 + -131). Suppose -5*f = 10, 4*z - 5*f - o = 106. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f + 0*f)*(0*f**2 + 4*f**2 + 5*f**2)*(-2 - 14 + 40).\nAnswer: 432*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1391573410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 208016.4 millennia in years?\nAnswer: 208016400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 10 = 5*u - 30, 2*u = 6. What is the third derivative of 5*r**5 - 7*r**5 - 4*r**2 - r**2 - 3*r**i wrt r?\nAnswer: -300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 873022 and -486 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633531?\nAnswer: 3, 211177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/12)\/(r*r**(-7)\/r)*(r\/r**2)**21 assuming r is positive.\nAnswer: r**(-169\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 0.0664?\nAnswer: -7.9336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (20 - 7) - (-2 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2389215 divided by -447.\nAnswer: 5345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - 1*(-4 - -3). Let i be z\/(-16) + (-17)\/4. Let k = -2.82 + 2.32. Which is the biggest value? (a) 4\/5 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68586235 is divided by 50.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-42)*(n**3)**7 assuming n is positive.\nAnswer: n**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 119*u - 20 + 6 - 57*u - 59*u. Let q be m(6). Let y(w) = -2*w + 2. What is y(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10)*(13 - 24\/8). What is the greatest common factor of u and 356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 770, 1580, 2534, 3638, 4898, 6320, 7910?\nAnswer: 9674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3631244589 to the nearest integer?\nAnswer: 60260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + 1. Suppose 4*j = -0*j - 3*x - k, 24 = 4*j - 4*x. Solve 2 + j = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -67, -50, -35, -28, -35, -62, -115?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/20 and -2 - (0 + (-125)\/12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -603 and 9963.\nAnswer: -6007689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 3553 = n + 3544, 3*n = 5*x - 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 10:22 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267037 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 70 + p - 39 + p - 31. Let f(l) = 75*l**2 + 1. Calculate u(f(j)).\nAnswer: 150*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(3 + (sqrt(2)*-3*4*-1 + sqrt(22)\/(sqrt(22)\/sqrt(2)*6))**2).\nAnswer: 26951\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3 - 30. Suppose -102 + j = -q. Calculate the greatest common divisor of q and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + -4)\/((-6)\/(-206)). Suppose 2*u - 3*r = -0*r + s, -10 = -2*r. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 47, 152, 339, 614, 983, 1452?\n\"Answer: z**3 + 35*z**2 - 7*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 n, 1 m, and 1 i when four letters picked without replacement from {m: 2, n: 2, o: 2, d: 1, i: 3, x: 2}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 + 12*t - 25. What is q(5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7008 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 322 * 3.\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 0 in descending order.\nAnswer: 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 5*i - 5. Suppose 0 = m + 5*m + 36. What is w(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006 - -0.15?\nAnswer: 0.1506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 210383 (base 10) to base 9\nAnswer: 350528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6265.01 millilitres?\nAnswer: 6.26501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**2 - 2*n + 1. Suppose 3 = 4*k - 1. Let w be d(k). Find the third derivative of -2*q**6 + q**w - 2*q**6 + q**2 wrt q.\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -19.2, 0.1, 211, 2\/5, -0.3?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4980 + 4979.77066. What is p rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31484726 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 25*n - 449. What is the lowest common multiple of 22\/2 + (-1 - -1) and h(18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 578*g - 580*g + 308 = 0. Find the first derivative of -g*a**4 - 19*a**4 + 205 - 15*a**4 wrt a.\nAnswer: -752*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5\/7, -3\/4, 1.2, 2\/29, -1\/11?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372839?\nAnswer: 372839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*r - 402, -283*f + 280*f + 2*r = -1199. Calculate the lowest common multiple of f and 21.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173106 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2821 and 7501.\nAnswer: 1627717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 10*h**2 + 48. Calculate j(-10).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 122 = -13. Let h = p - -39. Suppose -b = 2*b - h. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 325*c - 8935. Calculate d(29).\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2165, -2164, -2163?\n\"Answer: h - 2166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 5*t**2 + 16*t + 22. Let p be u(-7). Let h(g) = -g**3 + 10*g**2 - 17*g + 7. Give h(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2032070 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51.633 - 51.533061. Let j = -30.1 - -30. Let o = z + j. What is o rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u**3 + 392*u**2 - 43*u - 8817. Calculate s(78).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 28 = -4*f + 5*z, 4*z + 8 = 0. Suppose -69 = f*x - 2*x. Let g = x + 57. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, -24, -10, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10) + 18*(-28)\/40. Suppose -m + 5*l = -5*m + 102, -m + 4*l + 15 = 0. What is the remainder when (-1185)\/j + 2\/(-13) is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 270 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1000222020 (base 3) to base 8\nAnswer: 47647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f + 20. Let c be 12\/f*(5 + (-20)\/12). Solve c*d - 3*n - 2*n = 26, -5*d + n = -22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -23*b**3 + 2*b**2 + b + 1. Let w be (6 - 7)\/(2\/4). Is k(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3702609 to the power of 1\/2, to the nearest integer?\nAnswer: 1924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 13*y**2. Let r(d) = -6*d**2. Calculate -3*p(v) - 5*r(v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -adc?\nAnswer: ad7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (230\/20 - 11)\/1. Factor 1\/4 + 1\/4*c**2 - v*c.\nAnswer: (c - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**9\/b)\/b*b*b**(1\/9)*(b\/b**(-4))\/b**3)**(17\/4) assuming b is positive.\nAnswer: b**(425\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 520373396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 74517005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63047940 + 41374940. Round d to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, e: 9}. Give prob of picking 2 j.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -t + 2, -5*d + t - 238 = 0. Let g be 42\/70 + d\/(-5). Let o = -3 + g. Solve -3*x = -4*s - 7, 6*x - 2*x = 3*s + o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*6\/90*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -22*g. Let a(o) = 6*o - 21*o + 13*o. Determine q(a(w)).\nAnswer: 44*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 3*d**2 - 3*d + 2. Let f be r(2). Let m(q) = q**2 + 5*q. Suppose -4*a = -0*a + 20. Let g be m(a). Solve f*h + 3*h - 3 = g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = l - 0*l. Suppose 173 = 5*h - 4*b, -h + 0*h = 8*b - 17. Calculate the remainder when l is divided by h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1523 - -1639. What is the greatest common divisor of y and 783?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18 + -0.18. Let i = -9.8 + 7. Let t = i + 3. Which is the nearest to t? (a) -2\/11 (b) u (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4087, -0.3, -0.691?\nAnswer: -0.691","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -935.3837337 and 0.2.\nAnswer: -935.1837337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/60 - 7*w**4\/24 - 7*w**3\/6 - 2*w**2 + 564. Determine s(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1478.1112 and 2424.\nAnswer: 945.8888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + z - 4. Suppose 3*u - 146 = -4*i, 4*u - 177 = -i - z. Suppose 2*d + j = -0*d + 20, -3*j = 4*d - u. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 5\/74?\nAnswer: 5\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41650 + 1?\nAnswer: 41651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 + 645*p**2 + 21135*p + 303. Give n(-37).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 289680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/2, -328, -582 in descending order.\nAnswer: 9\/2, -328, -582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3045 is divided by 967.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*j + 7*j - 39*j)*(0*j + 3*j - 2*j) - 4*j + 2*j**2 + 4*j.\nAnswer: 77*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2193648042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 32*v - 52. Give f(17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 - 12\/24. Let k be 60\/18*(-15)\/(-10). Suppose w*i - k*n = -i, 3*n = -5*i. Solve i = -l - 2*l + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*w**2 - 106*w**2 - 50*w**2.\nAnswer: -268*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.2, 4\/9, 6, 465?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**4\/3 + 7*o**3 + 95*o**2\/3 - 63*o - 312 = 0.\nAnswer: -13, -8, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 6779392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623397630?\nAnswer: 2, 3, 5, 29, 716549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2)*p*p*p\/(p\/(p\/(p*p*p**(2\/5))))*p**(-1)*p*p\/p**(-2\/11)*p assuming p is positive.\nAnswer: p**(43\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 31 = 19. Let i be ((-2)\/n)\/((-6)\/(-5430)). Suppose 3*x - t = 3*t + i, -4*t = -4*x + 236. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 7. Let i be y(5). Suppose -i*r - 3*r = -10. Let b = 2 + r. Solve 2*q + 5*c - 12 - 2 = 0, -4*q - 2*c - b = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60353 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -79101 + -1?\nAnswer: -79102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 420176339 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r**2. Let z(t) be the first derivative of 1 - 1\/3*t**3 + 0*t + 0*t**2. Give i(z(u)).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 less than -495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -146*l - 1250. Let a be g(-26). What is the highest common divisor of 114 and a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118490*q = 118344*q - 7592 for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = -2*m. Let f be (m - (-1)\/(-3))*6. Let s be f*(3 + (-6)\/3). Which is bigger: 5 or s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -144300, -144296, -144290, -144282, -144272, -144260?\n\"Answer: w**2 + w - 144302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1 - -740) + -2)*1. Suppose -2*u = 3*u + 4*s - 952, -4*u + 5*s + v = 0. Suppose -4*q = -4*y + q + u, -q + 4 = 0. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/((-525)\/90*(-9)\/21).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*t + 323 = 9, -4*t + 408 = 5*b. Calculate the greatest common factor of 32 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -19*x - 3. Let k be y(-3). Is k + -54 + (-838)\/(-2)*7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 9 = 10*q, p = -2*q - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/42 + (-9)\/(-42)*26188. Suppose -88 = 10*p + y. Let j = 1449 + p. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3 - 29 + 23 - 18*h**3 + 19*h - 7*h**4 + 13*h**2 = 0.\nAnswer: -3, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -5 - (-98 + 100)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000489687 to five dps.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {s: 2, y: 3, f: 6, o: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6756341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (156\/(-12) + 12)*(-3)\/7. What is the smallest value in m, 18, 1\/4, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + o = 17 + 17, 2*o = -10. Let k = 6\/25 - -13\/50. Factor -k*v**5 - 1 + 0*v**4 - 3\/2*v + v**2 + 2*v**n.\nAnswer: -(v - 2)*(v - 1)*(v + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10050 and 115636305?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/255400 and -103\/344.\nAnswer: 10982200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**2\/2 - 6*m + 1. Suppose -3*n = 5*i - 2 + 20, 3 = -2*i + 3*n. What is j(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246 and 90282?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 122. Let u = k - 54. Solve u = 4*a + a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(40)\/(sqrt(968)*1))**2.\nAnswer: -8*sqrt(5)\/11 + 1941\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 55*s + 331. Let n be q(-6). Is n at least as big as -1\/1728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/15 and 67\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 3*j + 6 = 0, -121*c = -119*c - j + 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -338 + 659. What is the remainder when k is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/5))**20)**7 assuming z is positive.\nAnswer: z**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 16*w**2 + 19*w + 35. Let n(o) = -15*o**2 - 16*o - 36. What is -6*i(l) - 7*n(l)?\nAnswer: 9*l**2 - 2*l + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*r**4\/7 - 4*r**3\/7 + 40*r**2\/7 + 16*r\/7 = 0. What is r?\nAnswer: -2, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6\/355?\nAnswer: -6\/355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*q + 2*c + c, q + 15 = -5*c. Let x be q + 2 + -2 + 3. Suppose 0 - x = -z. Solve 8 = -z*m + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52629.\nAnswer: 3, 53, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -430305 (base 8) to base 12.\nAnswer: -6b0b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -64.9. Let t be (147\/(-12) + -2)*(-16)\/(-6). Put t, 0.4, h, 1 in descending order.\nAnswer: 1, 0.4, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (2 - (1 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 275*g**3 - 704*g**3 + 6 + 438*g**3.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1556b4 (base 13) to base 14.\nAnswer: -d9acc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.36993\nAnswer: 1.10979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 26 = 2*s, 2*s - 7 = 3*r - 21. Let w be 430\/(-255)*6 - 2\/(-17). Let b be (w + 9)\/((-1)\/5). Solve -n + r*n = b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 236*((-3)\/(-12) - 0). Suppose k + l = 4*q, 4*k + 56 = 3*q + q. Suppose -22*h + 20*h - 3*h**2 - q + 20*h = 0. Calculate h.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 2) + (36 - (90 + -56))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 27*v**5 + 7*v**4 - 9*v + 7. Let q(o) = -13*o**5 - 3*o**4 + 4*o - 3. Let n(r) = 3*m(r) + 7*q(r). What is the second derivative of n(s) wrt s?\nAnswer: -200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42944059 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 17*p - 345 = 0 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.22 - 0.2. Let y = 1.98 + p. Let u = -4.9 + 5. Which is the closest to 0.1? (a) u (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 161 + 24. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322370 rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 293 + 293.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 45.42?\nAnswer: 45.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (17 - (-6 - -12) - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 14*z - 3. Calculate h(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**3 - 4*c**2 + 2*c + 1. What are the prime factors of p(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -13*l - 7*l - 6*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (782838\/(-2289))\/(1*6).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -986 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**4\/24 - 7252*g**2. Let t(f) = -5643*f**2. Determine t(m(l)).\nAnswer: -5643*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.38\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 10*p**2 + 11*p - 4. Let v be b(-11). Let n be 6\/(-24) - (-31)\/v. Let s = n + -1. Round s to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2438215 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**4\/6 + j**3\/3 + j**2\/2 + j. Let i(c) = 4 - 23*c - c**2 - 5 + 12*c + 10*c. What is -3*i(d) - 2*l(d)?\nAnswer: -d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 23462 and -226712665?\nAnswer: 226736127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*o + 2\/3 + 2\/3*o**2.\nAnswer: 2*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - 4. Let d(y) = 3*y - 9. Let w be d(4). Give n(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1885*n**3 + 2768 wrt n.\nAnswer: -5655*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1943 + -1904 + 4 + -7\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 62115c (base 13) to base 4\nAnswer: 20232123123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12765 and 14852910?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10447847387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 0 - (33 - 48). Solve -h = -20*x + 65 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -756 by 108.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 13*b - 29. Let c be t(-9). Let n be 2542\/217 + 2\/c. Solve 4*p + 4 = n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2393 * -0.1\nAnswer: -239.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 65214646 and 0.3.\nAnswer: 65214646.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 603843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3419623 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -2\/5, 0, 511, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 2001011.\nAnswer: -5\/2001011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 4*i - 3*i**2 + 5*i**2 + (2*i - 5*i + i)*(2*i - 3*i + 0*i).\nAnswer: 4*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-33)\/18)\/(-11)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/3 and -47\/1145322?\nAnswer: 1145322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*1*(2 + -4). Suppose -1 = -2*h - 3*m - 7, 0 = -3*h - k*m + 1. Solve 0 = -h*u - 2 - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591 a factor of 43364625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 29*c + 63. What is j(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152677, -305537, -458399, -611263?\nAnswer: -764129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602*y + 8074 = -3144*y - 1027*y - 468*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 8 + 28 = 0. Let c be 1 + (2 - (-1)\/(-1)). Sort v, c, 1 in ascending order.\nAnswer: 1, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (111 - 184 + 649)*(35*q + 32*q - 47*q) to b + a*q and give a.\nAnswer: 11520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 217032?\nAnswer: -217044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 721.447, 0.5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + n - 12, -n - 7 = 4*k + 2. Let q be 9\/k - (-45)\/10. What is the second smallest value in 2, q, -5\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 1\/21*p**7 - 3349\/3*p**4 + 97*p**5 - 53\/15*p**6 - 82*p - 4913*p**2 + 10693\/3*p**3 + 0. Solve c(x) = 0.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-18) + (-3 - 122\/(-18)). Suppose -4*o + 25 = q*y - o, 0 = 3*y + 4*o - 17. Suppose -5*u - 12 = -y. Sort -4, -1\/3, -6\/5, u.\nAnswer: -4, -6\/5, u, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (6 - 4 - (8 + -25 + 13))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**4 + 3*k**2 + 1163*k - 3190?\nAnswer: 8*k**3 + 6*k + 1163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 17586 + 805*j - 17586 - 4 - 2*j + 4 + (-4 + 3 - 1)*(-2*j + j + 3*j) as z + h*j and give h.\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6525 - -18218862787\nAnswer: 18218856262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/653406 and 91\/100524.\nAnswer: 1306812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14591?\nAnswer: 14591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-4)\/(-4)) + 2. Suppose 5*m - 3*h + 4*h = 12, 5*m - 4*h - 2 = d. What is the remainder when 4 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -4, 2, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5535044 + -2035044. What is d rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**5\/30 - c**4\/6 + c**3 + 16*c**2. Find j such that k(j) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 494365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 338 and 13?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 424745, 424742, 424739, 424736?\n\"Answer: -3*b + 424748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220 by 1.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49 - -4?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-10)*q**(-8\/3)*q assuming q is positive.\nAnswer: q**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -681 + 1347. Suppose 51 = -5*o + v. Suppose -5*n + 3*w = -1083, -n - 3*w + o = -108. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2 - 995774*f + 995776 = 0.\nAnswer: -497888, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 360 and 1?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 8*u - 12. Let n be y(6). Suppose -6*m + 271 + 515 = n. Suppose -78 - m = -j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0609 and 1.40377?\nAnswer: 0.085489593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwwc when four letters picked without replacement from cwwcc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -30*h**2 - 2*h. Let k(y) = 29*y**2 + 2*y. Let q(x) = 4*k(x) + 3*p(x). Let j(d) = -d. What is j(q(i))?\nAnswer: -26*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkmxmu. What is prob of picking 1 x and 1 m?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 887323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 5. Let w be b(6). Let o(p) = 10*p - 33. Let v be o(4). Calculate the highest common factor of v and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.823273um in kilometers?\nAnswer: 0.000000001823273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5328 + 4148?\nAnswer: 9476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3122000 - 313?\nAnswer: 3121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2. Let c be (1 + -10 - -1) + 3. Let a(y) = -14*y. Let s(f) = 9*f. Let g(z) = c*a(z) - 8*s(z). Calculate g(m(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -198 - -105. Is m >= -93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011110010000110 (base 2) to base 11.\nAnswer: -33295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31748*t + 31739*t = -459 for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 = k. Suppose -2*l + 4 = -26. Suppose -k*a - a = -l. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102122 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -7817080 and 1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 230958 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 420770 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5616)*-3 + sqrt(5616))\/(sqrt(588) + sqrt(3) + sqrt(3)) + 3*-1*((sqrt(832) - (sqrt(832) + 1))*-6 + sqrt(832)).\nAnswer: -51*sqrt(13)\/2 - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, l: 13}. What is prob of sequence nn?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 19*l + 38. List the prime factors of s(9).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/63)\/(1713\/115913)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.00222 millennia in months?\nAnswer: 168026.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) -0.2 (b) -3229 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 182793213.188+-0.5\nAnswer: 182793212.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -150*k**2 - 13*k - 26. Let b(a) = 451*a**2 + 37*a + 74. Give -6*b(x) - 17*w(x).\nAnswer: -156*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.087131 and -1.79.\nAnswer: -1.877131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*c**3 - 6467*c**2 + 938251*c?\nAnswer: 216*c - 12934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-35)*u)\/u*u\/(u**(-3\/10)\/u) assuming u is positive.\nAnswer: u**(383\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6906*x - 556 + 1380 + 154 wrt x?\nAnswer: 6906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 6*j**2 + 5*j - 5. Suppose 0 = 2*b - 1 + 11. Calculate i(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a**2 + 205*a - 40. Calculate the remainder when g(-37) is divided by 218.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -47. Suppose 4*s + 26 - 6 = 0. Put 4, p, s in decreasing order.\nAnswer: p, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 47 + 7\/2*n**2 - 1\/6*n**3 - 49\/2*n. Factor t(u).\nAnswer: -(u - 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 915 by 183.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2171762093 and -1415.7.\nAnswer: -2171763508.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42020471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -994 - -1532. Which is greater: 537 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 18592587.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2926 and 3344?\nAnswer: 23408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z. Let n be q(-1). Suppose -4*r - 14 = -h, -3*h + 6 = -n*r - 6. Suppose 0 = h*m - 152 - 146. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261715509 to the power of 1\/2, to the nearest integer?\nAnswer: 16178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.096367839 - -2\nAnswer: 2.096367839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 u when three letters picked without replacement from {u: 7, j: 1, h: 1, a: 1, y: 7}.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + -4*2*sqrt(1216) + -4 + 1 + sqrt(57)\/sqrt(3)*1 + -3)**2.\nAnswer: 660*sqrt(19) + 57511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 26*v + 50 = 21*v, 0 = -x - 2*v - 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -620071.5097 rounded to the nearest ten thousand?\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = 4*v - c, 4*v = -4*c + 8. What is the units digit of ((-20)\/(-6))\/v*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 176 = -4*a, 0*x = 5*x + 2*a - 312. Find the third derivative of 2*s**6 - 49*s**5 + x - 64 - 297*s**2 + 19*s**5 + 0*s**6 wrt s.\nAnswer: 240*s**3 - 1800*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 8*u**2 - 28*u - 39. Calculate the least common multiple of z(4) and 147.\nAnswer: 6027","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 3 - 3 = -u, 22 = 5*u + 2*o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 0)*(-5 - -4). Let h(j) = 56*j**3 + 2*j**2 - 2*j - 3. What are the prime factors of h(v)?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179517 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -910252 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30349 and 38733601.\nAnswer: 2759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 3*x - 273. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96) - (2*sqrt(96) - sqrt(96)))*6)\/sqrt(12) - -1*(sqrt(8) - -4*sqrt(32)\/sqrt(4)))\/((2*sqrt(32)*-5)\/(-2*sqrt(8)\/sqrt(4))).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*s - 1816*s**5 + 3309 - 1068 - 1064 - 1006 wrt s.\nAnswer: -36320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -21*h**2 + 21*h + 20. Let r(i) = -4*i**2 + 4*i + 4. Let g(s) = 2*f(s) - 11*r(s). Let w be g(-11). Round w to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y - 135. What is b(-31)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.22 (b) -6\/5 (c) 3\/4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -732 (base 9) to base 16\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 20 = -0*v. Solve 12 = -z + v*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 5, 2, 217 in increasing order.\nAnswer: 2, 5, 44, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2391627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 175*h**5 + 29*h + 2?\nAnswer: 3500*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5751 is divided by 479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/8*(-160)\/30. Suppose -6*y = -y + a. Let u be 847\/28 - (-1)\/y. What is the greatest common divisor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 divided by -96?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/((-60)\/8) + 8\/6. Sort f, -3, -5, 5 in decreasing order.\nAnswer: 5, f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d. Let j be m(1). Let s = 4 - j. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*((s*s**30)\/s)\/s*s))\/s*s*s*(s\/(s*s**(-18)))\/s*s)\/((s*(s*s*(s\/(s**(1\/14)*s))\/s*s)\/s*s)\/(s**1\/s)) assuming s is positive.\nAnswer: s**(-195\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2286)\/(-8))\/((-35991)\/(-15996))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2351137077 and 459?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*1*-2 - (sqrt(228)*-2)\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*s - 4*y - 4, 2*s - 6 = 2*y. Let r be 1\/(1\/s) - -17. What is the units digit of (-16)\/(-12)*r\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:05 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 5*n**2 + n + 3. Let m = -5 - -12. Suppose 55 = 3*c + 49. Suppose -c*d - d = q - m, 2*d = -4*q + 18. Determine b(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 3 + 10 - 22*n**2 + 2 to the form o*n + y*n**2 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in decades?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.8945, -0.5, 4, -1, 2, -0.13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.07, -4, 2, -16 in descending order.\nAnswer: 2, -1.07, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 15*y**2 - 13*y - 12. Let l be i(14). Find the second derivative of -s + 3*s**3 + s**3 + 2*s**3 + l*s wrt s.\nAnswer: 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0141179976 to six decimal places.\nAnswer: -0.014118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -1430493.320635?\nAnswer: -1430498.320635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98 and 70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 - -148. Let c be ((-5)\/10)\/(0 - (-1)\/(-174)). Find the second derivative of -48*s - 2*s**o - 9*s**3 + c*s - s**3 wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/53458?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -134\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -250? (a) 2\/11 (b) 3 (c) 0.04 (d) -5 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.3 and 60.204.\nAnswer: -138.4692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 + 324.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/4, -3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152176248 divided by 238.\nAnswer: -639396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 390.11 + -395. Let m = -6.6 + 6.71. Let z = m - h. What is the closest to 0.1 in -2\/17, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 205206.5 millimeters?\nAnswer: 205206500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2 - 31*l**2 + 1 + l**3 - 6*l**3 - 51*l - 8 = 0. Calculate l.\nAnswer: -3, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -49*a**6\/120 + a**4\/6 - a**3\/2 - 2*a**2 - 34. What is the tens digit of c(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.042 (b) -1\/7 (c) -0.003 (d) 0.2 (e) -0.09 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p - 1. Let j(u) = -u**2 - 8*u - 7. Let d be j(-8). Is 14 a factor of g(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -2. Let x(c) = -2*c - 3. Let b(y) = -1. Let s(v) = 2*b(v) - x(v). Is s(a) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 6*z = -1. Calculate the remainder when 20\/(-6)*(-11 - z) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 18351*h - 414257652.\nAnswer: 3*(h - 15201)*(h + 9084)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-4) + 4\/(-16). Let p = f - 3. Solve k = 4*l, k = -3*l - p*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2905\/(-3735)*(-3)\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 20. Find the third derivative of 0*m**4 + m**p + 2*m**4 + 4*m**2 wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**6\/90 - 8*f**5\/15 - 32*f**4\/3 + 47*f**3\/3 + 23. Let h(y) be the third derivative of l(y). Factor h(j).\nAnswer: -4*(j + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1396 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*c + 394 - 394 in the form j + r*c and give r.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 768 divide 27824640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -5*d + 13, 5*n - 7*n - 3 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 17*w**2 + 1. Let f(v) = -18*v**2 + v - 1. Let k(d) = -2*f(d) - 3*l(d). Let h be (2\/7*(-35)\/(-15))\/(170\/(-255)). Calculate k(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2 + (0 + 0 - 2)*(17 + 3 - 1))*(4*i + i**5 - 4*i).\nAnswer: -37*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(132)*-2 - sqrt(132))\/sqrt(11) + sqrt(12))\/(sqrt(36)\/(-1*sqrt(9)))*-5 + -1 + 1.\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*g + 2322 = 673*g - 5253 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**3 + 16*r**2 + 14*r**3 + 16*r**3 - 14*r**2 + 3*r.\nAnswer: 39*r**3 + 2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 8*t - 8*t - 6 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -7. Let l be 100\/4 - -2 - g. Solve -5*f - 5 - l = -c, -29 = -2*c + 5*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 6*k - 8. Let d be t(-4). Which is the third smallest value? (a) -70 (b) 5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 5. Let v be ((-10)\/4 - q)*0. Let o be 1*-1*(-1 - (-300)\/292). Is o < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010011011100001 (base 2) in base 3?\nAnswer: 12111111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 0, 4, 25937 in decreasing order.\nAnswer: 25937, 5, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**4\/2 - 3*x**3 - 3*x**2\/2 = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/6)\/((-196)\/637*13)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 + -4 + 13 + (9 + 0 + -12 - -10)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 2. Let b(z) = z - 2. Let f(y) = 16 - 2*y - y**3 - 2*y**2 + 11*y**2 - 2*y**2. Let j be f(7). Determine j*r(d) - 3*b(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41410 + 41412. Which is the closest to t? (a) -0.3 (b) -1\/58 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5\/6 + 5*d**4\/6 + 4*d**3\/3 + 2*d**2\/3 = 0. What is d?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l = -42*l + 12. Let s be ((-176)\/l)\/8*6. Suppose 0*w + 5*t + 11 = -w, 4*w - s = 2*t. Solve -1 = -a + c, -w*a - 4 - 6 = 3*c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - z**2 - z. Suppose -5*x + 5 = -4*l, 5*x + 2*l + 3*l - 5 = 0. Let y(t) = t**2 - 5*t + 1. Let u be y(4). Let a = u + x. What is g(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19535*i + 506582 = -860868 for i.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 496 and 744.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.3544601791 and -14?\nAnswer: 19.3544601791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -467, -8, 586 in descending order.\nAnswer: 586, 1\/5, -8, -467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -278 + 278 + 9*m**3 + (5 - 8 - 4)*(2*m**3 + 0*m**3 - 4*m**3) - 2*m**3 - 1 + 1.\nAnswer: 21*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s**2. Let i(w) = -40*w. Give i(g(c)).\nAnswer: -360*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12202 + 1011?\nAnswer: 20220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 74. Suppose -4*c + 2 + 1 = h, 3*c - 54 = -3*h. What is the highest common divisor of h and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 316 and 4661.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txotttxzk. What is prob of sequence txt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00943767408 to five decimal places.\nAnswer: -0.00944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 81662?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 76443 and 76441 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21387386 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -7. Let d = j + -13. Let s = 7 - d. Which is the third smallest value? (a) s (b) -3\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -431 + 591. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2)\/(o*(o\/(o\/(o*o**1\/o))*o)\/o))\/(o**(-2))**(-2\/3))\/((o**(-4\/3)\/o)\/(o\/o**(6\/7)))**(26\/5) assuming o is positive.\nAnswer: o**(264\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2062 - -2898. What are the prime factors of g?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/84*(-180)\/(-175)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-three halves of a meter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -20*a**3 + 260*a - 259. Give k(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/12)\/((-4)\/30). Let v be (s\/(-6))\/((-4)\/(-60)). Suppose -20 = -5*i + v. Calculate the remainder when i is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134421128, -134421126, -134421124, -134421122, -134421120?\nAnswer: -134421118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 10*l**3 + l - 1. Let v be (-2)\/9 + 33\/27. Let q be k(v). Solve 0 = 4*r - 2*r + q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -302, -291, -294, -329, -414, -567, -806, -1149?\n\"Answer: -3*g**3 + 11*g**2 - g - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 16. Calculate y(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278136 is divided by 459.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 161, 6, -33 in descending order.\nAnswer: 161, 13, 6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718 is divided by 403.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 498478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011022201211 - 1020012?\nAnswer: -1011100222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4760.82 and 8.17.\nAnswer: 4768.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -250 divided by 1\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53304388 + -5.294.\nAnswer: 53304382.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/9 - 122*l**4\/9 - 1328*l**3\/9 + 4808*l**2\/9 - 1120*l\/3 = 0. What is l?\nAnswer: -12, 0, 1, 2, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14 + (-486)\/(-36))\/((-2)\/48). What is the smallest value in -3, 0, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**4\/60 + 3*w**3\/5 + 147*w. Factor m(q).\nAnswer: q*(q + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(((-528)\/(-208))\/11)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 754? (a) 1\/3 (b) 1 (c) 2\/9 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.765 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23738892 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1 + 2 - 2 + 168*s**2 - 3*s + 2*s. Let z be t(-1). Suppose 0 = -r + 3*r - 5*q - 78, -q + z = 5*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349.7743 rounded to the nearest 10?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 122 - 22 = 0. Suppose 8*n + 3*l = 3*n + 25, 0 = -4*n - l + 27. Let r = 24 - n. Calculate the highest common factor of r and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -748.3 - -748. Which is the fourth biggest value? (a) x (b) -4\/7 (c) 556 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/156)\/((-120)\/(-486))*6\/(-9)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.97935 - 0.07935. Which is the nearest to 2? (a) -2\/13 (b) -2 (c) -1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + 30*l**2 + 13*l - 2. Let y(s) = s**3 + 10*s**2 + 4*s - 1. What is 4*p(b) - 11*y(b)?\nAnswer: b**3 + 10*b**2 + 8*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 252\/8623 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46, 43, 48, 67, 106, 171?\n\"Answer: f**3 - 2*f**2 - 4*f + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6388102 to four dps.\nAnswer: 0.6388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 305\/4264 + 27\/328. Which is the nearest to 4? (a) f (b) 3 (c) 4\/7 (d) -2\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4959 and -102.\nAnswer: -505818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j - 4 + 7 + 2*j + 7.\nAnswer: -4*j + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*j**3*x + j**3 - 15*j**2*x**2 - j**2 + 2*j*x**2 + 29790*j + x**2 wrt j?\nAnswer: 666*j*x + 6*j - 30*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400481.\nAnswer: 400481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9751 is divided by 3228?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2141.\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) 4 (c) 2.17 (d) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3029 + -2404. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - 6*p)*(-1 - 3 + 2)*(0*p - p**4 + 0*p).\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*d = 77*d - 36. Factor 3\/4*b**2 + 6*b + d.\nAnswer: 3*(b + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 2*n**2 + 2*n. Let x be v(3). Let z = 73.845 + 0.155. Let o = -71 + z. Which is the closest to -1? (a) o (b) -0.01 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8053 is divided by 139.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 96 + ((-80825)\/25)\/53\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52061 - -2413?\nAnswer: -46345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*23\/(-115))\/(32\/(-320)*(-4)\/22)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3069*u + 29650 - 167755 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -315 divided by 315.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7981 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: Calculate the highest common divisor of 138555 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 515 and 18125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8*2\/4)\/2. Does 6 divide (-8)\/(-6)*(-315)\/(-30) + o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130401?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 111?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w - 184. Determine p(34).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 491*y - 5. Let a = 19 + -17. Suppose 4*s = 3*k + 2*s - 16, 29 = a*k - 5*s. Is n(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 302434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/y**6*y)\/y)*y**(-2\/9)*(y\/y**1)**(4\/13))\/((y\/(y**1*y*y*y))**(-11\/2)*y*y**(2\/7)*y\/(y**(-1\/8)*y)) assuming y is positive.\nAnswer: y**(-6115\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*z + 425 + 15 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1539 - -1580 - (30 - -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(80) + -1)*3*4*-6)**2*-1.\nAnswer: -1679616 + 165888*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 721 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -353518 * -0.497.\nAnswer: 175698.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 3*j. Let i be b(3). What is the units digit of 8\/6*(12 + i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**5\/60 - 3*p**2. Let v(q) = 7*q - 6. Let j(r) = -8*r + 7. Let c(s) = 6*j(s) + 7*v(s). What is d(c(y))?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106843*r**3 + 13405*r + 9?\nAnswer: 641058*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51730485 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**4\/12 + x**2\/2 - x. Let n be m(-2). Suppose 13 = a + 2*t, -n*a - 50 = -5*t - 160. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 548 and 9930308.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58c48 (base 15) in base 16?\nAnswer: 4510d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 + 14 - 14 + x**3.\nAnswer: x**3 - 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 390*d + 20. List the prime factors of t(1).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4 = 5. Is -3 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54.61 + -98.74. What is b rounded to 0 decimal places?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 8585.\nAnswer: 8584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b0 + -2?\nAnswer: 4ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 20, 3136, 0, -23 in increasing order.\nAnswer: -23, -4, -1, 0, 20, 3136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73689 and 4420122.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*i*s**3 + 78509*i*s**2 - 11*i*s - 2*i - 2*s**3 - 5*s + 1890 wrt s.\nAnswer: -246*i*s + 157018*i - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/70 and -28\/55.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*(sqrt(7) + 1) + 4 + -4)*-2 + 5)**2*-5.\nAnswer: -9565 - 1760*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 91 (b) 66 (c) -1\/2 (d) 3 (e) -2\/9 (f) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(25\/2)*a*((a\/(a*a**(2\/21))*a*a*a)\/a)\/a*((a\/(a**32\/a))\/a)\/(a**13\/a))**(30\/7) assuming a is positive.\nAnswer: a**(-5795\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 11*y**2 + 12*y + 5. Let p be c(12). Let d = 25 - p. What is the lowest common multiple of 14 and d?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 30498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -2*o - 3, -5*o - 4 - 8 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1230*d - 542438. Calculate w(441).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, -0.2, 673\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1698)\/(-12735)*2670\/(-4)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -15.9. Let t be (4 + 136\/(-36))*6\/(-2). Sort c, t, 1\/5, 2\/9.\nAnswer: t, c, 1\/5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 45?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 94721.92 tonnes in micrograms?\nAnswer: 94721920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n + 1. Let l be c(0). Suppose -5 = -2*h + l. Suppose -22 = -h*x + 35. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - 24 - -20) + (-1 - -13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7*(-12)\/112)\/((-76)\/32 + 2). Let s = 6 - 12. Let v = s - -4. Put -3, -4, v, h in increasing order.\nAnswer: -4, -3, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 23*d - 18*d + 18, 2*z = -2*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45914 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 491778?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9157 divide 2177125067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 9*i - 31 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.6 + 12.8. Let q = n - 6. What is the nearest to -0.1 in q, 1\/2, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3315, 13735, 31097, 55401?\nAnswer: 86647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 + k**2 - 4*k - 2. Let l(r) = -2*r**3 + 4*r + 2. Calculate 3*l(j) + 2*v(j).\nAnswer: -2*j**3 + 2*j**2 + 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -445640 divided by 55705?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 10*j**4 - 6359*j**3 - 44893*j**2 - 70669*j - 32145 = 0.\nAnswer: -5, -1, 6429\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**6\/210 - r**5\/14 - 25*r**4\/84 - 20*r. Factor l(w).\nAnswer: -w**2*(w + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*s - 4 = 0, -11 - 3 = -2*q + 2*s - 34 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -320526 in 0.3, 11, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1352)\/(-18252))\/((-6)\/(-9))*(-34)\/2?\nAnswer: -17\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -0.3, -222, 2, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/144*12\/104?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*j**4 - 7 + 10*j**4 + 0*j**4 + 24*j**4 wrt j.\nAnswer: 136*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.498 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5103091725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 2312.\nAnswer: 16184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9888\/32960)\/(((-36)\/(-120))\/(2\/(-32)))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -6 (c) 76 (d) 953 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -11*f**2 - 4*f - 4. Let p(m) be the first derivative of -5*m**3\/3 - m**2 - 2*m - 11. Suppose 0 = -3*j + 14 + 13. Give j*p(y) - 4*d(y).\nAnswer: -y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + 1104123453?\nAnswer: 1104123514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 720, 694, 610, 438, 148?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3536.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3347 a factor of 111592327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -2\/117?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3663, 14199, 31757, 56337, 87939?\n\"Answer: 3511*g**2 + 3*g + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**8\/336 - 43*a**7\/6 + 29*a**4\/8 + 2*a**3\/3 + 626*a**2. Find the second derivative of u(w) wrt w.\nAnswer: -20*w**3 - 18060*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 238535942*l**2 + 132497986*l wrt l?\nAnswer: 477071884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-22))\/((-288)\/(-1584))*2*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 200410430 to the nearest one million.\nAnswer: 200000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 379127 + 39\nAnswer: 379166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (35\/10 - 5)*150\/(-9). Solve x + g = -5*y, -5*x - 26 + 5 = -y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-25) + (-1)\/(-5). Let x be 259\/n*(-3 + 2). Let o = x - 180. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3953 * -0.2\nAnswer: 0.07906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-8)\/(-128)*-5?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*y - 414 = -363*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/16448 or -1?\nAnswer: 3\/16448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 - -255. Calculate the remainder when y\/18 + 2\/6 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16114 + 43913. Let s be (-1)\/(44820\/(-11204) - -4). Suppose 3*n - k = s. Round n to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnqqnqnqqq. What is prob of picking 3 n?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 402*x - 6010. Give m(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (-53 - 132 - -90)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*v - 22. Let g be (-4)\/(-10) - v\/45. Solve -4*f + 3 - 19 = g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1796 * -1.69.\nAnswer: 3035.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**5\/60 + t**3\/3 - 1. Let o(p) be the third derivative of b(p). Let y(v) be the first derivative of v**2 + 1. Give y(o(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -11. List the prime factors of v\/(-20)*(-3 - -58).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/12 - (-608)\/12. Let n be ((-1)\/((-3)\/(-111)))\/(-1). Suppose 147 = n*y - 34*y. Which is greater: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 796\/7*x + 2*x**2 + 96 = 0?\nAnswer: -56, -6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.016 - -25.416. Let x = j + -25. Let g be ((-4)\/(-10))\/((-9)\/5). What is the closest to 4 in x, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 + -47. Suppose -259 = -2*j - 5*s, -x*s - 601 = -2*j - 3*j. What are the prime factors of j?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q. Let x(z) = -3*z**2. Calculate t(x(d)).\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 9*l = -32*m + 1370, -10*l + 15*l = 5*m - 205 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 185*q - 131. Let b(a) = 86*a - 63. Let f(d) = -13*b(d) + 6*y(d). What is f(14)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 12}. Give prob of sequence ez.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1. Let b(v) = -5*v - 10. Let z(d) = -b(d) + 10*t(d). Let p(s) = 18*s - 12. Let i(w) = 14*w - 9. Let j(l) = -4*i(l) + 3*p(l). Determine z(j(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-1\/3)*n))\/(n*(n*n**(-2\/29))\/n)*(n**25)**(4\/7) assuming n is positive.\nAnswer: n**(7321\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + sqrt(192)*1) + -2 - (4 + (sqrt(192) - (1 + sqrt(192))) - (3*sqrt(192)*2 + sqrt(192))))**2.\nAnswer: -2880*sqrt(3) + 27873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -8. Suppose v - 2*v = 2*z - 29, -z = v - 25. What is the remainder when v is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.2 (c) -326 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -116 in increasing order.\nAnswer: -116, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 475979 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -793837 or -793838?\nAnswer: -793838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 - 28. Find the second derivative of 38*f + m*f**2 - 23*f**4 - 41*f**2 - 12*f wrt f.\nAnswer: -276*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 + -208. Let a = m + 104.9. What is the nearest to a in 17\/6, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 7*a = -2*t - 5, 5*t = -4*a - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.619112 and 1494701.\nAnswer: 1494703.619112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**2 - 10*b. Let c(q) = 7*q. Let y(w) = -7*w. Let u(x) = 30*x. Let z(p) = 6*u(p) + 25*y(p). Let n(d) = 3*c(d) - 4*z(d). Determine -8*n(j) - o(j).\nAnswer: 4*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1562 and 540026?\nAnswer: 5940286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(245) + sqrt(245)) - ((sqrt(245)*1)**2 + -2) - ((5 + sqrt(245) + -1*sqrt(245))*-6*-3)**2.\nAnswer: -8343 + 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -6871401.\nAnswer: 61842609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, 19, 80, 0, -41?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.6. Let l = 0 - -0.1. Which is the closest to 0.1? (a) u (b) l (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 40434504030?\nAnswer: -40434504022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*v - 16. Find the common denominator of 36 and (3 - (-114)\/v) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16)\/24*-21*628\/8 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/16*(-8)\/(-7)*(-658)\/(-1880)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by 692.\nAnswer: -53\/692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + -0.2. Let d = 0.09 + -4.09. Which is the nearest to 0? (a) f (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489409893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.23\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (((1*sqrt(847)*-5 - (sqrt(847) - (0 + sqrt(847))*4)) + 4)*-3 + 4)*6)**2.\nAnswer: -38808*sqrt(7) + 1100113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.39 + -19.39. Let q = -19.092 - h. Let u = 0.09302 + q. Round u to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t + 11. Let d(m) = -6*m + 11. Suppose -3*p + x - 11 = -2, 5*x = -4*p - 31. Determine p*j(h) + 3*d(h).\nAnswer: 2*h - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25200 and 4620?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 1\/5, 1.9, -31, -34, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -696 divided by 174?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/2652 and -79\/312?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3584 and 65536.\nAnswer: 458752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1197 - 824. Let y = 391 - v. Suppose -3*i + 120 + 87 = 0. What is the remainder when i is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -24320 + 24275 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18576 divided by -6.\nAnswer: -3096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 5*z + 211932, -3*i - 33*z = -34*z - 211944. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29766 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y + y - 6*y. Let l(k) = k. Give l(t(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*(sqrt(20))**2 + -2).\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-98)\/(-4))\/(11\/22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13388, 13386, 13384, 13382, 13380, 13378?\nAnswer: 13376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110060165?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-2) - ((-2 - -6) + 3). Let f be m*(1 + (-8)\/6 + 1). What are the prime factors of (20\/(-15) - 2\/f) + 55?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 4:58 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slmpdse. What is prob of picking 1 e and 2 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -3*l**5\/10 + 443*l**4\/4 + 786*l**3 + 2025*l**2\/2 + 5530*l + 1. Factor p(r).\nAnswer: -3*(r - 225)*(r + 3)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*l - 153326 + 153566 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a hour in seconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4283 = 528*r - 9147 - 1882 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*k + 163 = 58, 170 = 4*p - 2*k. What is the remainder when 129 is divided by p?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26884120 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: Let m(r) = 2*r**3 + 30*r**2 + 3*r + 33. Let y be m(-15). What is the units digit of (2 - y\/3) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-5)*(-21170)\/(-584).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**4 + 41225*z**2 - 5668*z - 3 wrt z.\nAnswer: -12*z**2 + 82450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4588*m + 4586*m - 1 - 8*m**3 + 2*m**3 to the form j + w*m**3 + g*m + b*m**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*b**3 - 17*b**2 - 3 - 11*b**3 + 25*b**2 - 13*b**2 + 5*b**2.\nAnswer: -55*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j + j - 2*j)*(39 - 41*j - 39)*(22 - 22 - 10*j**2) to the form k*j**3 + i*j**4 + w*j + p + v*j**2 and give i.\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0389261 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3. Let w(a) = 81*a + 326. Let y be w(-4). Solve 0 = k - t*k + y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 521608880?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505359.3ml to litres.\nAnswer: 505.3593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051434 (base 6) in base 15?\nAnswer: 10ccd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/49? (a) -2 (b) -0.3 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1008\/91 - 7\/91)\/((-7)\/(-112)*8)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 6*a - 2. Let w be i(7). Suppose 15 = w*f + 2*o, 0*o = 5*o. What is the second smallest value in 4\/3, f, 1\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/20 - (401997\/24)\/((-120)\/96).\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -18*v. Give y(4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 3598*z - 3596.\nAnswer: -2*(z - 1798)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 + 4.07. What is the smallest value in 0.3, 1\/4, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*i - 4 = 2*q + 266*i, -4*q + 3*i - 19 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzzzvzbzzvzvbmzczzcv. Give prob of picking 2 b.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 15\/(20\/(-4)). Let s = 22 + b. Calculate the remainder when s is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + d + 6 = 3*i, -5*i + 41 = 4*d. Suppose -i*k + 2 = -x - 6, -4*k = -2*x - 10. Solve 5*h + 4 + k = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48011*u*z**3 + 45634*u*z**2 - 16*z**2 wrt z.\nAnswer: -288066*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(2\/5)*p))**(10\/3)*(p**(-1))**(-14\/11) assuming p is positive.\nAnswer: p**(-8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20620)\/(-11341))\/(22\/(-77)).\nAnswer: -70\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17415\/8 - 2180. What is the common denominator of 28 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1276011 and 396?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/7 - 2305*y\/7 + 9426864\/7.\nAnswer: -(y - 2127)*(y + 4432)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 0\/(-2 - 1). Sort n, -1, 3 in increasing order.\nAnswer: -1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4992 - 4.\nAnswer: -4996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 58 + (17 - 23)*(-4)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-27) + (-183)\/54*-2. Let p(v) = 7*v + 44. What are the prime factors of p(r)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l + 3. Let i be -2*(1 + 1 - (-110)\/(-44)). Calculate b(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.29902 less than 4?\nAnswer: 35.29902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 6*b**2 - 37*b + 128. Calculate the least common multiple of s(4) and 1888.\nAnswer: 5664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**3 + 1122*f**2 - 11*f**3 - 4*f**3 - 2*f - 1102*f**2 to the form a + c*f**3 + x*f**2 + l*f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9050128km to centimeters.\nAnswer: 90501.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -48 times 1257\nAnswer: -60336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4055 + -371?\nAnswer: -4436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = k + 498. Suppose -k + 55 = -o. What is the lowest common multiple of 9 and o?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16822573?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 14*i**3 - 6*i**2 + i - 4. Let a be x(3). Let w = a - 219. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62.9 + -45. Let m = -18 + t. Which is the closest to m? (a) 1 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3000002 (base 4) to base 8.\nAnswer: 30002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t - 7. Let s be m(-3). Let h = s + 11. What is the remainder when h is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*h**2 + 50*h**2 - 31*h**2 to d*h + b + c*h**2 and give c.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10323 + -11?\nAnswer: 10312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 6*h**2 + 4*h + 6. Let v be l(-5). Let i = -225 + 239. Let y be 2 + i*v\/(-6) - 3. What is the highest common divisor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-6) + 21\/9 + 0. Suppose -4*v = l*v - 684. List the prime factors of v.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3059 = 180*j + 359 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -117*f**2 - 5 + 2 + 114*f**2 + 2*f - 3 + 8. Let c(i) = 39*i**2 - 27*i - 27. Let n(v) = 4*c(v) + 54*u(v). Let h(q) = -37*q**2. What is n(h(r))?\nAnswer: -8214*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = 2*u - 90. Suppose -14*q - 76 = -u. Put 2, q, -2, 5 in descending order.\nAnswer: 5, 2, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 12:56 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from yyyvvzvvzr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 6080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83763 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/2)\/5*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -515*s**2 - 2262.\nAnswer: -1030*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -h + 23, 3*h - 59 = -4*p + 2*p. Let i be -4 + -1 - (10 + h\/(-3)). Which is the nearest to -2? (a) -0.2 (b) i (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9*b**2. Let f(y) = -7*y - 4 - 7 - 6 + y + 15. Give v(f(s)).\nAnswer: 324*s**2 + 216*s + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -285*i**2*x**2 - 7549786*i**2 + 25715*x**3 wrt x.\nAnswer: -570*i**2*x + 77145*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in -2\/11, -1, 6, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19548)\/(-306) - (-18)\/153. Calculate the greatest common divisor of 12 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-70)\/(-7) - (-1 + 1). Solve 0 = 3*v - v - j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Which is the nearest to -0.2? (a) p (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2261*j**2 - 9555*j + 1272*j**2 - 448*j**2 + 9555*j.\nAnswer: 3085*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 19*l**2 + 2*l. Let m(n) = -9*n**2 - n. Determine 13*m(r) + 6*z(r).\nAnswer: -3*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + 4*(sqrt(720)*-1 + -4 + sqrt(720))**2).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*t + 12, -5*h + 20 = -4*t + 5*t. Suppose d - 98 = -4*b - 8, 411 = h*d - b. Factor 21*l**2 + 6 - d*l - 9*l**2 + 87*l - 3*l**3.\nAnswer: -3*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 278\/(-10) - 0 - (-5)\/(-25). Let q be 176\/9 + -3*w\/189. Solve q*f - 17*f = 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = -2*g. Suppose -2*b = -5 - 1. Suppose 4*v - 43 = 5*k + 10, -5*v + 20 = 3*k. Solve -g*t = -v + b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -12*y + 319. Let q be u(27). Which is the smallest value? (a) 3 (b) -2\/19 (c) q (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a kilogram in grams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + -4.3. Let a = 8.6 + u. Round a to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150 + -132. Let j = q - -336. Does 18 divide j?\nAnswer: True","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 {w: 2, t: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-21620)\/(-99000))\/(-23)*(-10)\/(-12) and -131\/462.\nAnswer: 41580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 7*j**2 + 11*j - 77. Calculate q(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 22. Let i(h) = -23. Let n(p) = -2*i(p) - 3*l(p). What is n(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/16*3304\/(-4). Let k = u - -104. Suppose c + 3 = 3*s, -2*c - 3 = -6*c - 3*s. Which is smaller: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*x - 11*x - 8*x - 10*x - 3*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 272 + -495. Let r = 246 - m. What is the remainder when r is divided by 79?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2346, 5452, 9328, 13974?\n\"Answer: 385*w**2 + 1951*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 2:42 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 8031805 = f, -5*r - 21125335 = 2*f + 19033655. Round r to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4, -0.53, 0.4?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-3 + 6 + 2). Suppose 0 = 5*q + p, -j - 4*q = j - 34. Suppose -r + 65 = 4*t + j, 2*r + 4 = 0. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 3, i: 3}. What is prob of sequence iia?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29298*y - 17457*y + 8 + 79513*y.\nAnswer: 91354*y + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15*-1*(-10855)\/(-4175)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24580 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-4) - (3 - 5). Let r be 8*5\/(-10) + t. Let q be 7\/(-14) - 1\/r. Let a(z) = 3*z**3 + z**2 + 2*z + 1. Calculate a(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 472204139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(224))\/(sqrt(77)\/(sqrt(11)*1) + sqrt(7)))\/((-2*sqrt(324))\/sqrt(9) - sqrt(36) - sqrt(900)*-2).\nAnswer: 2*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-377)\/(-6) + 3\/72*4. Find the second derivative of -77*u + 4 - m*u - 75*u**2 + 148*u wrt u.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {r: 1, q: 1, t: 16}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 902 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(-24)*168\/((-693)\/(-33))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*c + 106*c = 470 + 187. Solve -o + 2 - 1 = -2*k, c*k - 3 = -3*o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83138 and 486818338.\nAnswer: 7558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 351.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 3*b = -170. Let l = -56 + 74. What is the remainder when b is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 6*t - 4. Suppose 3*p + 0*p = -4*k + 21, k + 2*p = 9. Suppose 0 = 5*i - 4*u - 23, k*i - 40 = -5*u - 4. Let c be w(i). Solve 1 + 2 = -c*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 492 - 19?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -9. Suppose -x*o = -3 - 3. Suppose -o*t - i = -15, 15 = 5*t - 2*t - 5*i. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -163 + 166. Solve -j*i = -12, 4*w - 3*i - 2 = 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 827*q + 8278. Give v(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4355*g**4 - 1226*g**2 + 10764348 wrt g?\nAnswer: 17420*g**3 - 2452*g","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z + 3 + 1 - 7 - 1 + 2*z**2. Let y be s(4). Suppose -4*p + y = 124. Round p to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3914 - 3913. Let i = 16 + -11. Sort a, i, 0.\nAnswer: 0, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - j = 9, 2*n - 3*j = j + 22 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 24*c**2 + 11*c - 273. Does 31 divide i(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**6\/36 - w**4\/24 - 4*w**3\/3 + 3*w**2. Let p(v) be the first derivative of u(v). What is the derivative of p(k) wrt k?\nAnswer: 20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 10*z**2 - 17*z + 12. Give p(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -4825 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21281561 rounded to the nearest 100000?\nAnswer: 21300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -10*l - 40. What is i(0)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 343.5 - 343.4. Let s = 74 - 120. Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1804.2 to the nearest ten.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3 - 8515*z**2 - 68071*z - 127605 = 0.\nAnswer: -8507, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**6\/120 + 11*w**5\/60 - w**4\/24 + 7*w**3\/3 + w**2. Let c(h) = -h**3 + 2*h**2 + 21*h - 1. Let u be c(-4). What is l(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**4 - 7*v**3 - 7*v**2 - 6*v - 45. Let j(d) = 6*d**3 + 6*d**2 + 5*d + 46. Let y(n) = 7*j(n) + 6*z(n). What is the derivative of y(i) wrt i?\nAnswer: -24*i**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.18 rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42.1 + -37.05. Let z = -5.35 + d. Sort -1.4, z, 2\/5, -4 in increasing order.\nAnswer: -4, -1.4, z, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/5, -1, 1\/5, -12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 12*d**2 + 18*d - 16. What is the hundreds digit of b(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -292 + 296 - 11*(-2)\/(-1). Put 8, p, 3, -5 in ascending order.\nAnswer: p, -5, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (59 - 93) + 23.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/610 and -74\/183.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/3 - 464*z**2\/3 + 952*z = 0.\nAnswer: -238, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 - 0.02. Let m = 853\/3 - 285. Which is the third biggest value? (a) 4 (b) l (c) 0.2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3317\/2 (b) 2\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f - 34. Let g = 137 - 130. Let n be a(g). Let z(q) = q - 2. Let p(s) = 2*s - 3. Let d(j) = -2*p(j) + 3*z(j). Calculate d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2 + 540*m + 544 = 0. What is m?\nAnswer: -1, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 456001332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2313313 and 1829.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4055 rounded to one decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 10*r**2 - 4*r - 6. Let c be (-32)\/6*3\/(-2). Let h be w(c). Calculate the highest common divisor of h and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 147 + 3. Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 6:48 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 7. Let d be (0 + (-20)\/1)\/(-2). Suppose d = 8*f - 6*f. Sort -3, f, a in increasing order.\nAnswer: a, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 - 56. Suppose -20*b + u*b = -35. Suppose -h = -b*i + h + 65, 5*h = 5*i - 50. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 6543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5229?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 43446*p - 43445.\nAnswer: -(p - 43445)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 6:05 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.687 + -24.787. Which is the closest to -198? (a) 0 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 6469554.8?\nAnswer: 646955.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p + 0*p**2 - p**2 - 3*p**3 + 2*p**4 - 6*p + 0*p**3 to n + i*p + d*p**4 + j*p**3 + m*p**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 30\/(-9))*-3. Let k(z) = z + 1. Let g be k(-1). Let t be (-4)\/12*2*-1. Which is the nearest to d? (a) g (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*b = -4*b - 15, a = -3*b + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -125 + 228. Let w = -100 + f. Let v(q) = 8*q - 4. What is v(w)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 4. Let i be x(-5). Which is the nearest to -2? (a) i (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 224944000 to the nearest one million.\nAnswer: 225000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2247 - -4620. Let d = v + -2373.000008584. Round d to 7 decimal places.\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 854.1404l to millilitres.\nAnswer: 854140.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4076 = 5*z - z. Suppose 3*a = -z - 283. Let o = a - -5977\/14. What is the common denominator of -113\/12 and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 8*o**2 - 9*o + 9. Let g be m(-8). Let x = -73 + g. Let f be (-2 + x)\/(15\/50). Solve -w + 6*w = f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - o)*((3 + 7 + 1)*(-4*o + o + o) + 5*o + 5 - 5)*(1 + 4*o - 1) to the form g*o**3 + m*o**2 + p*o + b and give g.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -96 + 7?\nAnswer: -8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 16 = 2*n, 4*y + 2*n = 34. Suppose 6 = y*s - 3*s. What is the derivative of 17*z**s - 5*z**2 + 2 + 4*z**2 - 7*z**2 wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*h + 14*h + 187403 = 181147 for h.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 + 2*o**3 + 0*o**2 - 3*o**3 - 9 + 10 in the form b*o**3 + f*o + g + c*o**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243613?\nAnswer: 7, 101, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 227729 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/7)\/(9\/(-63)). Let r(u) = 1 + u - 3*u - g. Let p(w) be the second derivative of -w**4\/12 - 9*w. What is p(r(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 130.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 2930?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 1. Let z be x(-1). Suppose -2*t + 0 - 2 = 0. Let d be t\/((-2)\/(44\/z)). Calculate the highest common factor of d and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**3 + 17*v**2 - v**3 - 2 - 18328*v + 2*v**3 + 18323*v in the form s*v**3 + h*v**2 + f + d*v and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2805, -5611, -8417, -11223?\nAnswer: -14029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(288\/(-4))*-1\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 3:39 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 6\/7, -0.35, -1\/2, -2\/293?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22300312210 (base 4) to base 12\nAnswer: b40a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0 (b) 7 (c) 26.1 (d) 2\/235\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*n - 10. Let l = -5 + n. Suppose 0 = t - 8 - l. Calculate the smallest common multiple of 9 and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4834 + 4818 - (-1 + (-2 - -1))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.2, -19, -1.\nAnswer: -19, -1, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -13. Let f be ((-2)\/(-6))\/(2\/i). What is the second derivative of 2*c - c - f*c - 2*c + c**2 wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5320159 divided by 4219?\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 0 + (-40 - -46)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)\/p*p)\/(p*p**(-4\/3))*(p**1)**(-45) assuming p is positive.\nAnswer: p**(-137\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*p + 9. Suppose -23 = -4*m + 5*j, -m + 2*m - 5*j - 17 = 0. What is the third derivative of 6*z**p - 3*z**3 + 2*z**m - z**2 wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v - v**2 + 2*v. Let k(j) be the third derivative of 0*j + 0*j**3 + 0*j**4 - 1\/30*j**5 + 0 + 2*j**2. Calculate y(k(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-75) + 9 + -6. Let r(v) = -46*v + 5. What is r(z)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**2. Let l(c) = 3*c - 12338. What is t(l(z))?\nAnswer: 36*z**2 - 296112*z + 608904976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.5, 0.1, -616, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 (base 15) in base 13?\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-194557)\/368)\/11 + (-11)\/(-176) + (-10)\/(-1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/9 + 358*l\/9 + 488\/3 = 0.\nAnswer: -4, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4013033 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 6*x - 30. Let z be 4\/x*(3 - 8). Suppose -z = -4*n + 6. Which is the closest to 0? (a) -5 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*164.19\nAnswer: -16.419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47166703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8*p = 12*p - 1404, 0 = -3*z + 4*p + 1032. List the prime factors of z.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/7*j + 22\/7*j**2 - 2*j**3 + 2\/7*j**4 + 0.\nAnswer: 2*j*(j - 5)*(j - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*k - 2021 = 0, -4*s + 6*s + 4022 = -3*k. Let p = s - -3235. Let q be (p\/20)\/((-2)\/4). What is q rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-38064)\/(-42) + 6\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3529, 7058, 10587?\n\"Answer: 3529*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 (base 13) in base 3?\nAnswer: -120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2 - 1. Suppose -4*l + 4*i = -20, -2*l + 1 = -3*l - i. Sort -4, l, o.\nAnswer: -4, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43026516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 3. Let m(j) = -j + 1. Let z be m(v). Let x be 0 - (0\/z)\/(-1). Solve x = w - 2*q + 3, 4*w + 19 = w - 4*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 6) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -869355, -1738143, -2606943, -3475761, -4344603, -5213475?\n\"Answer: -c**3 - 868781*c - 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -55 + 70 + (-7 - -1 - (4 + -2))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-5)*20\/8. Suppose 12 = -f*m + 3*m. Calculate the greatest common factor of 96 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 + -105. Let i = 61 + p. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179 + -201.125. Let j = 101.505 - l. Let g = j - 123. What is g rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 0*g - 2*h + 26, -3*h + 47 = 4*g. What is the smallest common multiple of g and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**4 + 209418*n**3 - 837696*n**2 + 837704*n = 0.\nAnswer: -104713, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, d: 2, h: 1}. Give prob of picking 1 k and 1 d.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 28 = -2*j, -i - 23 = 4*j - 3. Which is the third biggest value? (a) j (b) -5 (c) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-9)\/(-2))\/(-9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1. Let p(z) = 3*z**2 + z - 1. Determine 4*a(f) + p(f).\nAnswer: 3*f**2 + f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159206921 is divided by 39801729.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - u**2 - u. Let o(d) = 86*d**3 - 7*d**2 - 4*d - 1. Let k(f) = 5*i(f) - o(f). Let c be k(1). Let l = -66 - c. Is 23 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c + 2. Suppose 4*n = -0*n - 4. Let j be q(n). Let y = j - 12. Which is smaller: -3 or y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000048203 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -15*j**3 - 44*j**2 - 83*j - 30. Give m(-7).\nAnswer: 3540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 242973*v**6 - 117*v**2 + 25*v + 21 wrt v?\nAnswer: 29156760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (134\/(-804) + (-1)\/(-6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/198*(3*12)\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.742 and 56279863.\nAnswer: 56279862.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 24*p**3 - p**2. What is r(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -221 (b) -0.06 (c) -4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2908583 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j + 17930 = -12606. Let m = 694 + j. Which is greater: 19 or m?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**1))\/(d\/(d*d**(-22))) assuming d is positive.\nAnswer: d**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42480 and 187384?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2891.7 to the nearest 100.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -1, -8 in descending order.\nAnswer: -1, -8, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -m + 8, 4*m + 3*g = -3 - 4. Let p = 17 + m. Let s = 92 - p. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8 - 22\/(-8). Let w be ((-3)\/2)\/((-7)\/14). Determine z so that -5 - w*z**3 + 1 + r*z + 2*z**3 + 2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*v - 61, 6*v = 5*j + v - 25. What is the highest common factor of j and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 - 5 = 0. Suppose 21 + 39 = j*f. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a053 - 285?\nAnswer: 39879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23133*m - 77448*m + 0 - 2 + 2)*(2 - 1 - 2).\nAnswer: 54315*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 291 + 95 = 0. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 3*h + 8, 0 = -4*r + 5*h + 11 - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 + -0.4. Let l = -0.03 - -0.63. Let w = l + -0.5. Which is the second biggest value? (a) -2\/3 (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3381898085 to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -313\/7 + 45. Let a be ((-8)\/10 - -1)\/1. Let u = -3 - -1. What is the second smallest value in l, a, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4*(sqrt(180) + -1 + 2 + sqrt(500))*-2)**2)*1.\nAnswer: 2048*sqrt(5) + 81983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41692771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 2*c - 10, -4*u - c - 3*c + 20 = 0. Find the first derivative of u - 7*r + 10 + 0*r wrt r.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-8))\/((-9)\/452). Let j be -1 + ((-470)\/(-24) - (11 - 10)). Let b = w - j. What is the second biggest value in -5, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110011100010000 - 11?\nAnswer: 1001110011100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (100080\/(-4448))\/(18\/(-8))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 23 - 13 - 23*d to s + m*d and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14937 + -14881. Solve -12*y = -19*y - t for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + w + 107, a + 2*w = 8 + 30. Find the second derivative of 3*k**4 + a*k**2 + k - 28*k**2 wrt k.\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 2*s + 8. What is o(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l. Suppose 4*s - 6*o + 102 = -o, -92 = 3*s + 4*o. Let n(j) = -64*j. Let k(m) = s*a(m) - 3*n(m). Let b(q) = -q. Calculate k(b(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23036 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 37, 68, 99, 130, 161?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 3. Let t be d(-3). Is 1 + -5 + (39 - t) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 13 = 6*z - 7*z, -3*y + 27 = 4*z. Suppose s + 4*k = 3*k - 618, -y*s = 3*k + 3086. Round s to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g = -a + 32, -a = g - 29. Suppose 12*u + 4 - 40 = 0. Solve -2*s - a = 2*s - 5*o, u*s = -2*o - 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.029 - 0.0289909. What is g rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062 is divided by 257?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70428 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**4\/12 + c**3 + 4*c**2 + 4*c. List the prime factors of l(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 252 + -268. Is ((-15314)\/z - -1) + (-13)\/104 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2 - 11 = 0. Let b be (-6)\/10 + (-6)\/15. Let y be b\/(1 - (-2)\/(-3)). Does y = r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.86 + 0.14. Let p = 211.97 - 213.97. Put 2\/5, p, d in decreasing order.\nAnswer: d, 2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -254\/1271 - 1\/6355. Put -115, n, -3 in decreasing order.\nAnswer: n, -3, -115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -391 + 394. Solve -u*w + 4*w - 5 = 4*q, -5*w = 3*q - 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 297 - 186. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1240 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -175*m + 1016 + 1259 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372524*s - 372524*s - 124*s**3.\nAnswer: -124*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 12:24 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/(-3) + 1 + 28\/(-12). Suppose -9*s = -w*s - 170. List the prime factors of s.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 - 102. Is g - ((-3)\/(-4) - 36201\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*(a*a\/a**(1\/8))\/a)\/a*a)**(1\/34) assuming a is positive.\nAnswer: a**(23\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - 2*r)*(r**3 + 0*r**3 - 3*r**3) + 62*r - 35*r**4 - 62*r.\nAnswer: -31*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, x: 4, n: 2, g: 1}. Give prob of picking 4 b.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(196) - -3*sqrt(684).\nAnswer: 127*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20, -50, -102, -182, -296, -450, -650?\n\"Answer: -u**3 - 5*u**2 - 8*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 4:54 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(64\/((-44544)\/23925))*2*10\/16\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -25 - 2\/45*p**3 + 7\/15*p**2 + 0*p. Factor c(m).\nAnswer: -2*m*(m - 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1943560 is divided by 23698.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v - 2468 = -2502. Calculate the least common multiple of v and 2476.\nAnswer: 2476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/1613040 and -75\/10816.\nAnswer: 83878080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 27242, 5, 3, 8, 10, -0.2 in ascending order.\nAnswer: -0.2, 4\/7, 3, 5, 8, 10, 27242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**5\/25 + g**4\/5 - g**3\/15 - 3*g**2\/5 - 70. Suppose w(x) = 0. What is x?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1384, -2, -1748 in ascending order.\nAnswer: -1748, -2, 1384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 11*f + 9*f = -978, 0 = 2*w - 4*f + 504. Let z = w - -385. Round z to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51 - 87000\/1600)\/(12\/(-16))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 take away -285523531?\nAnswer: 285523529.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6367 (base 8) in base 16?\nAnswer: cf7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-20\/9)*g**(-3)*g*g*g)\/((g\/(g\/(g\/(g**(-2\/75)*g)*g)))\/g*g**(-24)) assuming g is positive.\nAnswer: g**(5119\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 423230*k**3 + 183382*k**2 - 3*k wrt k?\nAnswer: 2539380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 203381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/7 - 54*z**3\/7 - 186*z**2\/7 - 34*z\/7 + 276\/7 = 0.\nAnswer: -23, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38642710?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbfbbbffbbbbbb. What is prob of picking 3 b?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 62*q + 689. Let a be o(-11). Suppose -a*c + 13*c = -8*c. Factor -30\/17*f**3 - 32\/17*f**2 + c - 8\/17*f.\nAnswer: -2*f*(3*f + 2)*(5*f + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*m + 811 = -45, 5*u + 5*m = 1090. Let b = u + -206. Solve 4*z - 2*o = -b, o - 15 = z - 2*o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5199 to the nearest 100.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 116*w**2 - 3*w + 4. Is n(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 11*t - c = -161, t - 3*c = 98. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.26 * -6432\nAnswer: -1672.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 27 = -4*n - 4*t, -t - 12 = -3*n. Suppose -n*b = -5*l + 120, -b = -6*b + 15. Calculate the remainder when l is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlggrlbllgbu. What is prob of sequence lurg?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -74\nAnswer: -5\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4*(39 + -56). Which is the nearest to 120? (a) 4 (b) -4\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -8 + 22. Suppose y*o = 2*o + 10. Suppose -o*a = -83 - 23. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 y when four letters picked without replacement from lyzllllllllyzll?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 37620 divided by -55\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnu when three letters picked without replacement from nnnnunnununn?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -919*c + 1765*c - 811*c.\nAnswer: 35*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-6240306.\nAnswer: 187209.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*f = -9, 0*f + 6 = 2*n - 2*f. Suppose 4*d - 44 = -915*z + 919*z, 0 = -2*z + 2. Solve h + d = -2*h, n*p - 4*h - 11 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*v**4 + 8*v**3 + 9*v**4 + 9*v**4 - 3*v**4 + 0*v**4 + 5*v**4 + (3*v + v - 7*v)*(2*v**3 - 1 + 1).\nAnswer: -3*v**4 + 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**2\/2 + 4*t - 11. Give u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 5. Let v(x) = -x + 3. Let n(h) = -5*v(h) + 2*y(h). Let q be n(-9). What is the third biggest value in q, 2\/13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15689700 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -81356 (base 9) in base 12?\nAnswer: -26b73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198755 is divided by 18068.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 - 1)*(1 + 3 - 1)*(-5 + 7*g + 5)*(-2*g + 2*g - 4*g + (1 + 1 - 3)*(0*g + 2*g - 5*g)) as v*g**2 + a*g + d and give v.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/497268 and -46\/38531?\nAnswer: 26355204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*b - 44*b + 20*b + 3*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1254723\/67 or 18727?\nAnswer: 1254723\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j. Suppose j = 3*y - 6 - 6. Suppose -4*r - 2*q + 14 = -y, -2*r - 6 = -2*q. Solve d - r = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/8)\/(3\/(-18)). Let v be (2\/6)\/(r\/18). Which is the nearest to -2? (a) 5 (b) v (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -1.75\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -1\/95?\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 - 53 + 187)*(-3*a + 0*a + 5*a)*(-4 + 4 + 2)*(-8 - 1 + 2).\nAnswer: -2072*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/39 - 436\/(-6). Let t = 76 - m. Suppose 0 = -i - 3*v + 826, t*v = 5*i - 4570 + 345. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - 2*z**3 - z**3 + (-2*z - z + 4*z)*(454 - 454 - 273*z**2 + 1152*z**2).\nAnswer: 877*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 6. Let k be j(-11). Let t be 2\/k - (-16)\/10. Is 2\/3 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 1:46 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 321 - 81. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -495, -1053, -1627, -2211, -2799, -3385, -3963, -4527?\nAnswer: -5071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chdkhccddhckcdckddd. Give prob of picking 2 k, 1 d, and 1 c.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 338 - 98*x - 338 in the form c*x + t and give c.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*u**2 + 108*u**2 + 28*u**3 + 118*u**2 + 67*u**3.\nAnswer: 95*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 10825 + 54957 = 0. Let l = 216619\/54 - o. Find the common denominator of 119\/30 and l.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13871889*g*p*r*v**2 + 2*g*p*r*v + g*p*r - g*p*v**2 + 12*g*p + 3*g*r + g*v + 4*p*r + 29*p wrt v?\nAnswer: 27743778*g*p*r - 2*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 14) to base 5\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d + 3?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1134, 1154, 1188, 1236, 1298?\nAnswer: 1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1323301 (base 5) to base 16\nAnswer: 684d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 2*x**6\/15 - 3*x**5\/20 + 15*x**2. What is the third derivative of y(o) wrt o?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.4 - 4. Let v = 0.1 + t. Let u = 0.6 - v. Does 0 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1031, 5045, 13397, 27449, 48563, 78101?\n\"Answer: 227*n**3 + 807*n**2 + 4*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 197 - 127 = 0. Let j(g) = -g - 42 - 35 + u. Calculate j(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 5*h + 33, -3*h + 8 = -5*q + 43 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -g - p + 1, -4*p = -4*g. Does g = -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 4. Let n be o(4). Let d be (-1 - (1 - n))*(-4)\/8. Let q(t) = 10*t**2 + 1. Determine q(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*h - 8215 = -39*h - 27935 for h.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 2:49 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*t**3*v + 1825*t**3 + 57*t**2*v + t**2 + t*v - 5*t - 80710*v - 1 wrt t?\nAnswer: -294*t*v + 10950*t + 114*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -346 (base 7) to base 12.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 584933 - 2915462\/5. Are 1841 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + -3 - -3 - (-37)\/24 and -23\/44?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i - 3. Let z be b(3). Suppose -z*d + 40 = -d. Let t(c) = 4*c - 9. Is t(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u - 2. Let n be r(2). Suppose 0 = 5*v + 10 + 10, -2*v = 3*j - 4. Suppose 2 = -y, 5*y = m + 2*m - 70. Solve n*o + m = 5*k, 2*o = -j*k - 2 - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97772 is divided by 1656?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4*s = 0, -c - 5*c = -10*c + 10*c + 10*c + s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -363069, -363192, -363315, -363438, -363561, -363684?\n\"Answer: -123*x - 362946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 19*a**2 - 69*a - 107. Let b be t(13). Solve -23*f = -25*f + b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from iqtirsgg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*g + 99, -w + 5*w = 3*g + 183. Suppose -w = -l + 1. Let u = l - 39. Solve -u*i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o**2 + 2*o + 1. Let d be b(-1). Suppose 0*z - 4*z + 16 = 0. Suppose -z*r + d*r = -16. Let w(t) = -t - 2. Determine w(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 144 or -16.89697?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1229 * 0.54\nAnswer: 663.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 3, -2, -1 in ascending order.\nAnswer: -2, -1, 3, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 97*x**3 + 20*x**3 - 24*x**3 + 3*x**2 - 5*x**2 - x + 7. Is k(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1025834?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 5*u + 6. Let f be i(6). Suppose j = -f*j. Solve 0*b + 3*b + 3 = j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -35. Let a be 3*(-2 + 2\/3). Is a not equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 - -388. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 47*t**4\/12 - t**3\/6 + 3*t. Does 23 divide y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 0 - (0 + 0 - 4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -358, 570, 3084, 7976, 16038, 28062, 44840?\nAnswer: 67164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b = 0. Suppose 5*y + 28 = p - 7, -3*p + 10 = 4*y. Suppose b = 3*a + 12, m + 5*a + p = -m. What is the nearest to 0 in -3, -4, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 + 74*h**2 + 36*h + 42. Let i be (-93)\/(-155) - 549\/15. List the prime factors of a(i).\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5102, 8603, 12102, 15599, 19094, 22587, 26078?\n\"Answer: -q**2 + 3504*q + 1599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u**(2\/3)))\/u**(-3\/14) assuming u is positive.\nAnswer: u**(-61\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*g - 30, 3*g = 5*p + 7*g + 10. Let j be (-39)\/p*(-4)\/6. Suppose 16 = 4*q - w - 4*w, q + w = j. What is the greatest common factor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207 divided by 135.\nAnswer: 23\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4683453?\nAnswer: 3, 1561151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000101010000 (base 2) to base 3.\nAnswer: -20002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7351.583ug to tonnes.\nAnswer: 0.000000007351583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aabbxaabbbbnbbb. Give prob of picking 1 x and 1 a.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 16 (b) -0.01 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 116716763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 664781 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 191?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11061456*l**3 - 9406*l**2 + 14109*l + 14109. Let n(i) = 4705*i**3 - 4*i**2 + 6*i + 6. Calculate 4*m(t) - 9406*n(t).\nAnswer: -9406*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 60 = -2. Let k(r) = -62 + p - r. Let a(y) = 16*y**2 - 12*y + 3. Let q(f) = 37*f**2 - 26*f + 7. Let w(u) = -7*a(u) + 3*q(u). Give w(k(i)).\nAnswer: -i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122400023?\nAnswer: 6719, 18217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 517*v + 5533. Determine r(-11).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67134.\nAnswer: 2, 3, 67, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23774 is divided by 881.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6896*r + 6871*r - 150 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 11*h - 9582 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/148 and -139\/3252522?\nAnswer: 6505044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16e - -3?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 2*s**2 + 5*s + 2. Suppose 2*n - 12 + 6 = -5*d, -5*n + 15 = -2*d. Suppose d = 2*h - 2*t - 2, -5*h - 6*t - 5 = -9*t. Calculate k(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -6036.\nAnswer: 603.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2428396m to micrometers.\nAnswer: 242839.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 2, t: 4, x: 3}. Give prob of picking 1 o and 1 q.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 23, 52, 93, 146, 211, 288?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 n, and 1 s when four letters picked without replacement from ssssoosbbsnbssn.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 + (-1496)\/(-168) - (-236)\/(-168). Put 2\/9, 1\/19, t, 1\/2, 3\/5 in decreasing order.\nAnswer: 3\/5, 1\/2, 2\/9, 1\/19, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8268 - -8270. Sort 115, 12, w in descending order.\nAnswer: 115, 12, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*q**3 - 401696 + 401696 - 74*q**3 + 984*q**3.\nAnswer: 826*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven halves of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + -63 - (2 + 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4699 + 5?\nAnswer: -4694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-20))\/(1\/(-556)). Let n = r - 56. Let q(i) = 2*i**3 + 12*i**2 - 113*i + 13. Let y be q(5). Which is the nearest to n? (a) -0.4 (b) y (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 723 + -129. Let v = t + -635. Let f = -3 - -3. Is f greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -584510*i*y**2 + 629*i - 2*y**2 - 410*y wrt y.\nAnswer: -1169020*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h + 15. Let t be y(8). Let r = t + -53. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3034403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 159, -5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238968, -477775, -716582?\nAnswer: -955389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + 6*x**3 - 4*x**3)*(0 - 3 + 5) + 87*x**2 + 16*x**3 - 87*x**2 + (2*x**2 - 4*x**2 + 4*x**2)*(-2 + 2 + x).\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 1535121*q**3 - 1532643*q**2 - 2477*q - 1 = 0?\nAnswer: -1\/1239, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*q + 19*q + 11 + 19*q - 17*q**3 wrt q?\nAnswer: -51*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 2*x - 8. Suppose 0 = -3*r + 2 - 2. Let d = r - x. Solve 20 = -4*n, d*n + 5 = -q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16060 and 594?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -289*2.2219\nAnswer: -642.1291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (422\/40 - 5) + (-1708)\/(-2440).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2. Let w(g) = 4*g**2 + 5*g + 5. Let h(o) = 5*o**2 + 6*o + 6. Let l(q) = -5*h(q) + 6*w(q). What is l(n(m))?\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**3 - 3*o**3 + 4*o**3)*(3*o**2 + 3*o**2 - 4*o**2 + (1 + 3 - 1)*(-o**2 + 2*o**2 - 2*o**2)).\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 9*k**2 + k + 1. Let a(b) = -10*b**2 - 2*b - 4. Let m(u) = -3*a(u) - 4*d(u). Let q(h) = 3*h**2 - h - 4. Determine -4*m(g) - 7*q(g).\nAnswer: 3*g**2 - g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + (7 - (-8 + 36)) + 4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49056 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2042 + -2028.89. Let r = h - 13. Let j = r + -0.71. Is -1 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/4)\/b*b*b*b\/b**(5\/4)*b)\/((b\/b**2)\/b**(2\/17))*(b**1\/b**(2\/7))\/((b**(-1)\/b)\/b**7) assuming b is positive.\nAnswer: b**(1408\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -54. Suppose -8*l - 10 = -5*l + 4*k, 5*k = -3*l - v. Let z = 14 + -2. Solve -l*y + z = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29475178?\nAnswer: 2, 17, 866917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -2)\/(9\/(-6)). Let k be 0\/(-3) - a - 2. Let l = k - -1. Calculate the remainder when 1 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4 = 2*l + 13, l - n + 1 = 0. Let o(t) be the first derivative of -4*t**2 - 4 - l*t - 4\/3*t**3. Factor o(f).\nAnswer: -4*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/2024 and -28\/4301.\nAnswer: 34408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, p: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -90 + 112. Find the third derivative of 9*o**2 + 5 - 6 - 975*o + n*o**2 + 975*o - 329*o**5 wrt o.\nAnswer: -19740*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14799432?\nAnswer: 2, 3, 616643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -0*w - 3*o - 101, -2*w = -5*o - 29. Let s = w - -55. Suppose -x = -5*j - s, -3*j = 4*x - 6*x + 154. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15477588 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1831732 is divided by 162?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10217960 is divided by 559.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 4:55 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = i - 2247, 2*i - 4469 = -0*p + p. List the prime factors of i.\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3447, -0.6, 2\/5, -8, -3\/8, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12412538 is divided by 107.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/5 + 0 - (-7)\/(-35). Let g(u) be the first derivative of 0*u**4 + 0*u - 4\/3*u**3 - 3 + 0*u**2 - m*u**5. Find the third derivative of g(a) wrt a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k + k**3 + k**3 - 2*k)*(-3*k - 2*k + 4*k + (-k - 3 + 3)*(-1 - 3 + 1)).\nAnswer: 4*k**4 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7711 - 7711 - 6*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8454587381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5951*d**2 + 4*d. Let q(m) = -5955*m**2 + 6*m. Determine -3*i(u) + 2*q(u).\nAnswer: 5943*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 26*n + 7. Let g be i(13). Suppose 5*q - 66 = 49. What is the remainder when 84\/10*(g + -2) is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4874302, -4874305, -4874310, -4874317, -4874326, -4874337?\nAnswer: -4874350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 611962?\nAnswer: 6119620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -3, -5, 26, 170.\nAnswer: -5, -3, 0, 4, 26, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 16096.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -90\/17, 147, 3 in ascending order.\nAnswer: -90\/17, -4, 3, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*n + 502 + 514 - 1530 + 514.\nAnswer: -29*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020987740 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1024 (base 7) to base 2\nAnswer: -101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 0*k**2 - 4\/3*k**3 + 4 + 0*k. Let o(y) = -2*y. What is o(h(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 - l**2 + 1 + 2*l - 4 - 3 to h*l + b + i*l**4 + d*l**3 + j*l**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -22 - 2*x + 22 + 8*x**2. Let m be c(3). Suppose 0 = -3*g + 5*d + 178, -6*d - m = -g - d. Calculate the greatest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*r - 2, -r + 4*r = -4*d + 1. Factor 2\/3*s + 0 - 2\/3*s**4 - 2\/3*s**r + 2\/3*s**2.\nAnswer: -2*s*(s - 1)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 74. Calculate the common denominator of -79\/4 and ((-3)\/q)\/(32\/388).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 20*r**3 + 8*r**2 + 2*r + 12. Does 84 divide a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(52)*5 - sqrt(52))*3)\/((sqrt(144)*1 - sqrt(144)) + sqrt(8)\/sqrt(2)*5).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k + 8. Let l(m) = -8*m - 9. Calculate 3*b(x) + 2*l(x).\nAnswer: 5*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -15*w - 148. Let b = 39 + w. Let s(f) = -f**3 + 4*f**2 + f - 8. Let t be s(4). What is the closest to -0.1 in t, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 3*t**2 - 2*t**2)*(-474 + 474 + 33*t)*(0*t - 2*t + 0*t)*(-4 - 3 + 6).\nAnswer: -66*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.18 (b) -6930 (c) -1\/105 (d) 2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -t. Suppose -2*c = -0*c - t. Suppose 2 = k + 4*l, -14 = -3*k - c*l - l. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.3 and -5.\nAnswer: 46.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**6\/120 - 17*i**5\/60 + 5*i**4\/4 + 11*i**3\/3 - 39*i**2. Calculate the remainder when k(15) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/30578822 and -101\/9306598.\nAnswer: 214051754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 17, 25, 33, 41, 49?\n\"Answer: 8*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 2*h - 3. Let v(z) = z**2 + 23*z - 29. Let x(r) = -r**2 - 15*r + 19. Let w(s) = 5*v(s) + 8*x(s). Calculate 7*l(c) + 3*w(c).\nAnswer: -2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10592880?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6018579 by 72513.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 249, -73, 6, -9, -1.\nAnswer: -73, -9, -1, 6, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 2)*2\/(-8). Let q(g) = 7*g**2 + 0 - a - 15*g**2. Give q(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 23*n**3 - 92*n**2 + 8*n + 2. Let b(v) = -v**3 + v**2 - 2*v - 1. Give 4*b(h) + s(h).\nAnswer: 19*h**3 - 88*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/7 + 150*k\/7 - 644.\nAnswer: 2*(k - 23)*(k + 98)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + a + 1. Let x(l) = 29*l**2 + 14*l + 6. Let y(c) = 6*t(c) - x(c). What is the second derivative of y(d) wrt d?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -84 + -5a73?\nAnswer: -5b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 333534.112 to the nearest 1000.\nAnswer: 334000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddydddydyddyyydddd. Give prob of picking 4 d.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*(2 + sqrt(637)) + 5 + 1))**2.\nAnswer: 2800*sqrt(13) + 17525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 + 15*q**4 + q**5 - 9*q**4 + q**3.\nAnswer: q**3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 209 - 214. What is the biggest value in 1\/4, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -4\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 658 - -4?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5711*q + 0 - 1393*q + 0.\nAnswer: -7104*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t - 6. Let l(y) = y + 6. Let b be l(0). Suppose 3*r + b = 0, -3*r - 18 - 17 = -o. Calculate the remainder when o is divided by z(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1583, 3214, 4843, 6470, 8095, 9718?\n\"Answer: -w**2 + 1634*w - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w - 5*f + 16, -18 = -3*w - 5*f. Let d(g) = 294*g - 1. Is d(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 123\/21)\/(13 + (16470\/(-252))\/5)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z = -18. Suppose -5*k = -5, -2*f + 3 = 7*k - 2*k. Sort f, 2, z.\nAnswer: f, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -14521.4537.\nAnswer: 14521.9537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*d = -201051 - 404577. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3436 divide 561362070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*r = -0*r - 136, -2*l = -5*r - 130. What is the remainder when l is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 0.5, 2, 0.068?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - 1182?\nAnswer: -1158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 + 134. Let j = c + -13. Suppose 0 = 2*m + 5*t - 110, m + 0*t - 2*t = j. Calculate the highest common divisor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1409*x = 1402*x + 91. Put x, 2, 9 in ascending order.\nAnswer: 2, 9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/d**(-2\/43))\/(d\/(d*d**(2\/13)*d)*((d\/d**(-2))\/d)\/d) assuming d is positive.\nAnswer: d**(-2124\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*s = -2*s + 32, 5*y - 130 = -5*s. Suppose -2*v - y = -0*v. Let j = 8 - v. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 b, and 1 s when four letters picked without replacement from bbbbbbbsccsccbbcbbc.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(720))*3 - (-5*(sqrt(720) + sqrt(720) + 2 + sqrt(720)))**2.\nAnswer: -162106 - 3564*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9.8 (b) 1\/4 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5517094 times -0.035?\nAnswer: 0.019309829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (19\/((-2850)\/12))\/(1\/10). Let m be (-4)\/(-10)*(-5)\/7. Which is the smallest value? (a) z (b) -2\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/8)*m*m\/(m**13\/m*m))\/(m**(9\/5)\/(m**(-18)*m)) assuming m is positive.\nAnswer: m**(-1157\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 930*a + 81849. Calculate m(-88).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 4*y - 10, -2 = 2*b + y - 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -4524.\nAnswer: -1\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.5 + 6. Suppose 0 = -3*x + 4*n - 3*n + 2, 10 = 3*x + n. Suppose 2*g - 16 = -x*g. Sort i, g, 0 in ascending order.\nAnswer: 0, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-2)*(-9)\/15*2)\/(-4).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 33. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 3*k**2 + 5*k**2 + k**2 - k**2.\nAnswer: 2*k**2 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1511 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1061631*l*y**3 + 11*l*y + 72*y**3 - 1017*y**2 + 2*y + 3 wrt l?\nAnswer: 1061631*y**3 + 11*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/42*(-52)\/(-7))\/((-2)\/3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 418 and 119064?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**2 - 5*f**2 - 62*f + 2937*f**3 - 24*f - 2463*f**3 wrt f?\nAnswer: 2844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + (-136)\/(-36))*-6. Let a(t) be the first derivative of -2\/15*t**5 - i*t**2 - 8\/3*t + 1\/3*t**4 + 3 + 2\/3*t**3. Suppose a(v) = 0. What is v?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojz when three letters picked without replacement from {n: 2, e: 1, z: 1, o: 1, l: 1, j: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - r - 5*r + r + 0*r + 0*r + (-1 + 1 + 2)*(1 - r - 1) - 5*r + 3*r + 0*r)*(2 - 6 + 1).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 - 3*k**3 + k**3)*(3 + 5*k - 3)*(0 - 1 - 1).\nAnswer: 20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -131*h**4 - 3408*h**3 - 52*h**2 = 0.\nAnswer: -26, -2\/131, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 3*q**2 - q + 1. Let j be l(-1). Suppose j = -16*i + 14*i + 640. Let s = i - 119. Calculate the remainder when s is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 21*u**2 - 2828*u + 64430. Calculate b(29).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*q - 758 = 271, -2*q - 3047 = -3*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2229?\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((2 + sqrt(176))**2 - sqrt(176)))*-6 - ((6*sqrt(55)\/sqrt(5))**2 + 2)*1.\nAnswer: -1460 - 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggd when three letters picked without replacement from zfzzzzgzzzzgggzdz?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 3*d - 65, 3*x - 2*d - d = 15. Calculate the remainder when 39 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -33. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 n when four letters picked without replacement from {d: 4, n: 1, i: 2, w: 2, b: 1, m: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6833271*u**3 + 4727558*u**2?\nAnswer: 40999626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 0*g**3 - 9*g - g**2 - 2*g**3 - 4*g**2 - 10 - g**2. Let w(s) = 3*s**3 + 13*s**2 + 18*s + 21. Let k(v) = -5*h(v) - 3*w(v). Give k(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 - 7\/3*m - 10\/3*m**2 - 1\/3*m**3.\nAnswer: -(m - 1)*(m + 2)*(m + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 + -12. Suppose 4*y + t = 213. Calculate the common denominator of (120\/y)\/((-2)\/(-7)) and -55\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -135 + 56. Let q = a - -84. Let v(g) = 176000*g**2 - 4*g + 20. Let h be v(q). Round h to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-3)\/(-9))*42\/(-945).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**(-5)\/q)\/q)*q*q*q**4*q**(-4)*q**(-2\/9)\/q)**(-1\/2) assuming q is positive.\nAnswer: q**(-79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {e: 14, x: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71273347.\nAnswer: 359, 198533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -72 + -7?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7361505ml in litres?\nAnswer: 0.0007361505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/4, -2\/3, 26\/3 in ascending order.\nAnswer: -2\/3, 1\/4, 5, 26\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/4 + 12839*u**2\/2 + 26512075*u + 30108678474 = 0. Calculate u.\nAnswer: -20874, -2402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by 24\nAnswer: -71\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 23, -3, 5 in increasing order.\nAnswer: -3, -2, 5, 9, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - 42 - (-137 + 61)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c + 3. Let u(b) = -3*b + 3. Let n(y) = -5*l(y) + 6*u(y). Let s be n(-2). What is the highest common divisor of s and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38864 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -103*c - 799. Give m(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -486 + -0.203?\nAnswer: -486.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*n - 1043 + 4877. Is 139 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*19\/(-209)*((-25)\/(-2))\/((-4)\/(-8)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747450.6 micrometers to millimeters.\nAnswer: 747.4506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93 - 90. Suppose p + 5 = 0, -p - 2 = 2*u - v. Suppose -3*s = -2*k - 207, -u*k - 112 - 26 = -2*s. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -s**3*u*v + 3*s**3*v + 90056924*s**2*u*v**3 - s**2*v**3 - 7*s**2*v + s**2 - 42*v**2 - 117*v wrt u?\nAnswer: -s**3*v + 90056924*s**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25437 - -25386. What is the fifth biggest value in i, -1\/2, 0.4, 2\/11, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9225421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (11\/1 - 3). Let c be (-1 + 6)\/(-15)*u. Factor 2*x**2 - 2*x**3 + 2*x - 3*x**2 - 4 + 5*x**c.\nAnswer: -2*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -52\/18397 (b) -4 (c) -2\/7 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 16*f**2 - 78*f + 3. Let c be b(20). Find the common denominator of 81\/140 and c\/(-100) - (-33)\/22.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -215*z + 288950. Calculate s(1344).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 a when three letters picked without replacement from {z: 3, a: 17}.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -r - 13, -5*r - 16 = -2*f + 43. Let p = 15 + r. Suppose 5*x - p*t - 35 = -0*t, 0 = -3*x - 2*t - 1. What is the remainder when x is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54058.41 nanometers to micrometers.\nAnswer: 54.05841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.82953 decades to millennia.\nAnswer: 0.6182953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1978398 and 133\/219822.\nAnswer: 1978398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**2\/3 - 36929164*z - 55393744\/3.\nAnswer: -4*(z + 13848436)*(2*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3*(2 - -1). Suppose 0 = -i + 2*q - 4*q + b, 2*i - 5*q = 4. Let y be 4\/12 + i\/(-6). Solve y = 2*g - 0*g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 0*x**2 - 7*x**2 - 1 + 5 - 8*x + 1. Let d(l) = -3*l**2 - 4*l + 3. Let h(k) = -5*d(k) + 2*t(k). What is h(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 42.3. Which is the second biggest value? (a) n (b) 16 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**3 + p - 2. Let x(o) = 14*o**3 + 3*o - 6. Let b = -30 - -34. Suppose 6*w = b*w + 6. Let g be ((-48)\/20 + w)*10. Determine g*x(c) - 17*y(c).\nAnswer: -c**3 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 5 (b) -1 (c) -14820\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -441851\/22 - -20089. What is the common denominator of y and -5 - (84\/(-248))\/((-21)\/(-301))?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0 + 1\/24*m**4 + 1\/10*m**5 + 0*m + 0*m**3 - 4*m**2. What is the second derivative of g(t) wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 13 = -5*x, 0 = -6*x + 3*x + 5*s - 1. Let f = 0.07 + 1.93. What is the closest to 9\/4 in f, x, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(133) + sqrt(133) + -1*sqrt(133) + sqrt(133) + sqrt(133) - sqrt(133))*-2)\/(sqrt(56)\/(-1*(sqrt(8) + sqrt(128)))).\nAnswer: -80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 84663 = -3*v, -141095 = -5*g - 8*v + 5*v. Suppose -4*t + g = 4*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*(sqrt(6)\/sqrt(2) + -4 + sqrt(3)))**2.\nAnswer: -400*sqrt(3) + 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 3*(-2 - -1). Suppose 5*o = z + 47, o - 1 = -2*z - 2*z. Suppose -2*d - 3*k + 11 = 0, 4*d - 4*k - 1 = -o. Sort d, w, -2 in descending order.\nAnswer: w, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*t - 15*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1043, 1031, 1019, 1007, 995, 983?\n\"Answer: -12*p + 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d + d**2)*(-2 + 2 - d**3) + (-78*d + 78*d - 20*d**2)*(-5*d**3 + d**3 + 2*d**3) - 2*d**5 + 3*d**4 - 3*d**4.\nAnswer: 37*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.014 + 1.986. What is the closest to -1 in 1, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442008 at least as big as 1442010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 643 divided by -1320\nAnswer: -643\/1320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3 - 1598*h**2*s + 740*s wrt h.\nAnswer: -3*h**2 - 3196*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 7)*(207\/(-12))\/((-20)\/(80\/(-3))).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 178.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4133 a factor of 846620252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 12*f = -55 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3583\/16*1164\/(-54). Let p = u - -4827. Let t = p - 1\/72. Which is the second biggest value? (a) t (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3738, 7474, 11210, 14946?\n\"Answer: 3736*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5966 by 1.\nAnswer: 5966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/6, -5, -771750.9 in decreasing order.\nAnswer: -1\/6, -4, -5, -771750.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -54. Which is bigger: z or -4\/27?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12974784 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1382 + 3699. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s - 6. Let g(z) = -z**2 + z. Let j(q) = c(q) - 4*g(q). Differentiate j(u) wrt u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1189170 to the nearest one thousand.\nAnswer: 1189000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 604368210?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 46 (b) -0.1 (c) 0.11 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(110) + (sqrt(110)*-1 - sqrt(110)) + sqrt(110))*6)\/(sqrt(10) + (sqrt(1210) - 3*sqrt(1210)) + sqrt(10)) + 0)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 15, 4 in decreasing order.\nAnswer: 15, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6))\/(6\/27). Find the second derivative of 0*k**3 - 5*k - 5*k**v + 4*k**3 - 2*k**3 wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/6 + 1535\/390. Let w = 4\/39 - x. Calculate the common denominator of 29\/11 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 152 - 132 = 0. Suppose -y = -3*f + 2*x, -f - 2*f - 5*x = -64. Suppose 2*k + 2*k = 32. Calculate the remainder when f is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19\/4 in -2\/13, -3, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r + 6. Let m(a) = a + 8. Let d(u) = u + 7. Let b(p) = 5*d(p) - 6*m(p). Let h be b(-6). Let s(c) = 2*c + 5. Give h*s(l) + 6*q(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/3*6\/4. Suppose 4*p = -p. Let v be (-2)\/3 - 0\/(-1). Which is the closest to p? (a) v (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17870419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 757\/10 - 376\/5. Find x, given that -b*x**5 + 1\/2*x + 0*x**3 - x**2 + 0 + x**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (98\/(-161))\/7 + 3600\/(-39008) and -83\/8?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -598 plus 0.1?\nAnswer: -597.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 10. Let b be u(7). Let x be 0\/b - (9 - 3030009). What is x rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(20)*-6)\/(-2*sqrt(810)) + (sqrt(10)\/sqrt(125) - sqrt(32)*-4))*-3*-1)**2.\nAnswer: 113288\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1365\/(-63))\/(42\/(4914\/65))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30, 216, 878, 2160, 4266, 7400, 11766, 17568?\n\"Answer: 34*z**3 + 4*z**2 - 4*z - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8202 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: What is 1237297.914 rounded to the nearest 100?\nAnswer: 1237300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -778*t**3 + t**2 + 71*t + 70. What is g(-1)?\nAnswer: 778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001004174407 to seven decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/14 - (1 - 30\/21). Let p(t) be the first derivative of 0*t**w - t - 1\/3*t**3 - 1\/4*t**4 + 2. Calculate p(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 20*c - 1. Let y(m) be the first derivative of m**4\/4 + 5*m**3\/3 + 5*m**2\/2 - 2*m + 5. Let n be y(-3). Calculate i(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 4*v - 1\/6*v**6 - 7\/2*v**2 + 0*v**3 + 0 + 0*v**4 + 0*v**5. What is the first derivative of b(g) wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 10:48 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 36.959. Let j = q - 0.0495. Round j to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*35 + (15 - 22). Calculate the highest common divisor of 49 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.8 + 24. Which is the fourth biggest value? (a) -4 (b) 0.5 (c) 0.3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/6*6\/(-99). Let s = 3978\/7 - 568. Which is the nearest to 0.1? (a) s (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 3:04 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2510.63449 + -2745.634264. Let p = -715 + 950. Let w = p + z. What is w rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 24 - 39. Suppose -9 = -2*t - q. Let o be -201001 + t\/4*4. What is o rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 966 and 77?\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**2 + 236*q - 1237. What is the remainder when 1011 is divided by m(72)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.338152 rounded to 2 dps?\nAnswer: 2.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2034\/7 + 63075\/217. What is the nearest to a in 5, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 12:23 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 15*k - 12. What is q(6)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14\/29, 1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 3.4.\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, f: 7}. Give prob of picking 1 e and 3 f.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-8)*-4)\/((-4)\/6). What is the remainder when (-7)\/(-1)*((-54)\/42 - w) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12213 (base 5) to base 14.\nAnswer: 4a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -3*j + 4. What is the remainder when j is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 4, y: 4, s: 3, f: 5, k: 1}. Give prob of picking 1 k and 1 y.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -212 divided by -2\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 10*u + 20 = h, 2*h - 10 = 0. Let w = 0 - -4. Suppose -5*i + 2*g = -375, -4*g = w*i - u*i + 93. Is i a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**3\/3 + 2*r. Let w(q) be the third derivative of q**5\/12 - q**2 + 1. What is g(w(p))?\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1371 + 1388 + 3*k**2 - 2759.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*4\/(-8) - -3. Let y = -16\/7 - -85\/28. Factor 3\/4*x**2 + 0*x - y*x**3 + t.\nAnswer: -3*x**2*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/20)*q**(7\/5)\/q assuming q is positive.\nAnswer: q**(7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from xhhxhxxxhxxxxhhxhhhx.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*d**3 + 10615*d**2 - 10615*d**2.\nAnswer: -39*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -10*u**2 + 4*u + 2. Let t be p(0). Let y(i) be the first derivative of 0*i**t - 8*i + 0*i**3 + 0*i**4 + 2\/5*i**5 + 7. Differentiate y(l) wrt l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8754 + 4307 + 4447 + 13*m.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + -4*sqrt(66)*4)\/(sqrt(6) - sqrt(96)*-2).\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90\/37 - 775\/518. Calculate the common denominator of u and (3\/12)\/(-1)*54.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 27. Calculate the remainder when 220\/14 + 4\/14 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - a = 15, 2*a + 20 = 5*f - 40. Let h be 4 - 1 - (f + -9). Suppose -t + 5*g = -4, -2*t + 2*g + 5 = -3. Solve -t*z = -h*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -0.1605.\nAnswer: -2.8395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30590\/17 or -1798?\nAnswer: -1798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (378\/(-72) - 1\/(-4))\/(5 + -4). Let t be -2 - -1 - 4\/(-7). Sort w, t, 12, -3\/2.\nAnswer: w, -3\/2, t, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z**3 + 3*z**3 - 3*z**3 - 2*z**3 - 4*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 - 4*w**3 + 4*w**3 + 2*w**2.\nAnswer: -4*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 2*u - 2 - u**3 + 2*u**2. Let z(n) = n - 1. Determine p(y) - 2*z(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 55001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/6 + 23 + -38?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -190 < -306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 37930*j + j**3 - j**2 + j**2 + 37944*j to the form h*j**3 + g*j**2 + i + m*j and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -577, -1574, -3053, -5020, -7481, -10442, -13909?\nAnswer: -17888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1085 and 1\/245.\nAnswer: 7595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -13*v**3 - 1275*v**2 - 103*v - 510. Give a(-98).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - -51 - (-2 + (0 - 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -2*w**6\/3 - 24*w**5\/5 + 6*w**4 + 176*w**3\/3 + 102*w**2 + 72*w - 188. Solve j(m) = 0 for m.\nAnswer: -6, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679 is divided by 336.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**3 + 3032619*b - 106036 with respect to b.\nAnswer: -3*b**2 + 3032619","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijji when four letters picked without replacement from zzizijdidrididiziji?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5747435 (base 8) to base 12.\nAnswer: 632b91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 93 = -343. Suppose 6*j = h*j - 6023. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 n, and 1 y when four letters picked without replacement from {y: 1, r: 3, m: 6, n: 4, h: 2}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - 0.1. Let x = 0.06 - -0.44. What is the third biggest value in x, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5902, 5865, 5828, 5791?\n\"Answer: -37*j + 5939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5325.1162 to the nearest one hundred.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -107112 * 12.\nAnswer: -1285344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 117642621 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1048 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 7. Suppose 0*u = -u + w. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**3 + 6*y**3 + 356 + 4*y**3 - 356.\nAnswer: 25*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -598.1 + 598. What is the nearest to -5 in 1\/3, 6, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*a + 6, -3*a = -8*a - 2*f + 3. Let o = -51040 + 51044. Sort o, -200, a in ascending order.\nAnswer: -200, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/125 - (-3909122)\/350.\nAnswer: 3, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04621363824 to five decimal places.\nAnswer: 0.04621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, j: 3}. What is prob of picking 2 s?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 18 = 18. Let r(h) = -2*h**3 - a*h**3 + 11*h**3 - 3*h + 4*h**2. What is r(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(4900) - sqrt(4900)))\/(sqrt(560)\/sqrt(5) + (sqrt(7) - (sqrt(7) + -2*sqrt(567)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 5. Let j be l(-5). Suppose -4*a + r - 13 = j, -17 = 2*a - 3*r + 2. Let d be (250\/15)\/(a\/(-7680)). Round d to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19336368 divided by -194?\nAnswer: -99672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 122 = 2*c, -2*c + x - 118 = 3*x. Is 5 a factor of (-4)\/(-6)*c\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2\/q)**(23\/6)*(q\/q**(-5))\/((q*(q**(-3\/2)\/q)\/q)\/q))\/(q\/(q\/q**(-2\/9))*q*q\/(q*q**(-1\/6))*(q\/q**(-5)*q)\/q**(-1\/4)) assuming q is positive.\nAnswer: q**(185\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -334 + 1046\/3. Let k = l + -29\/2. Let p be 2\/6 - (-32)\/(-24). Is p >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p - 1420700 = 0. Let k = p - 150000. Suppose -2*b + k = 1214140. Round b to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71143?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 21, -1, -6 in descending order.\nAnswer: 21, 4, 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 188637 and 0.191 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 3:26 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 s when three letters picked without replacement from {s: 4, i: 2, r: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27121 divided by -5?\nAnswer: -27121\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/10, 0.2, -29.99, -0.4 in increasing order.\nAnswer: -29.99, -0.4, 1\/10, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w**3 + 565368*w**2 + 2*w**3 - 1130736*w**2 + 565368*w**2.\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 2\/23 (c) -2\/11 (d) 1\/2 (e) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**5\/10 + y**4\/4 - 6. Suppose q(n) = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1923532 and 369910?\nAnswer: 9617660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 286, 4, -4 in decreasing order.\nAnswer: 286, 74, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**3 - 4*z**2 + 2*z - 6. Let c be d(4). Suppose -6 = 3*l, c = 4*i + l - 64. Is 27 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 6:01 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 130650727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 339051071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4959.946 minutes?\nAnswer: 297596760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwz when three letters picked without replacement from wwwwwwwwzzwwwwz.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 76. Suppose 3*m = 2*o - 99, -3*o - 2*o + 3*m = -225. Let t = o + n. Solve 0 - t = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8820 divided by -6?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**5\/5 + 5*o**4\/2 + 2*o**3\/3 + 24*o**2 + 57. Find the third derivative of i(t) wrt t.\nAnswer: -24*t + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + (2 - 4) - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4529 + 10733. List the prime factors of d.\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 1440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 138358675 divided by 10675?\nAnswer: 12961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 2*v**2 - 14*v + 14. What is the derivative of r(k) wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1467548, 1467551, 1467560, 1467575, 1467596, 1467623, 1467656?\n\"Answer: 3*p**2 - 6*p + 1467551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, w: 9}. Give prob of sequence kww.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.5 (b) 3 (c) 2.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -17, 2\/3, -1.4, -44?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40594756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/50 + -67\/550. Sort -0.1, s, -5 in decreasing order.\nAnswer: -0.1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(0 - 2*o + 0 + (o + 4*o - 4*o)*(0 + 2 + 2))*(-3*o**2 + 3*o**2 - 2*o**2).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2*y = -6, -2*c = -0*y - 2*y - 125 + 131 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)*-2)\/(sqrt(24)\/(sqrt(8)\/sqrt(2))).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - d + 21, 5*m - 3*d = 1 + 4. Suppose 3*n - 2 = m*x, 0 = 5*n + 4*x - 4 - 10. Find the first derivative of k + 2 - k - k**n wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14547660 a multiple of 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a milligram in micrograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(98) + 2*sqrt(98)*-3)**2 + 3*(sqrt(98) + sqrt(98)*2)).\nAnswer: 378*sqrt(2) + 14700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a millennium?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k*(k*(k**(-24)\/k)\/k)\/k)))\/k*((k*k*k\/k**(-27)*k*k)\/k)\/k)\/(k*k**(-3\/19))**(2\/75) assuming k is positive.\nAnswer: k**(7093\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1822810 by 5.\nAnswer: 364562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -6 - 24. Let u be 8\/(-3)*9\/o. Suppose 3*s - 4*h = 6, 5*s + 7*h - 4*h - 39 = 0. Solve p + u = 3*x - s, x + 14 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/y**(-3\/8))\/y)*y\/(y*y**(-3\/5))*y*y)\/(y**(1\/4)\/(y*y*y*((y*y\/y**(-4\/3))\/y)\/y*y))*((y*y**(1\/3)*y)**(-47))**(-19) assuming y is positive.\nAnswer: y**(83679\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1087 - 1038. What is the remainder when 75 is divided by u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 94.0001 and 0.1.\nAnswer: 94.1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316330 is divided by 1977.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000912897911 to five dps.\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -162 + 189. Suppose -29*l + 44 = -d*l. Let h = -28 - -46. What is the smallest common multiple of h and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8\/g**(-9))**(-31\/4) assuming g is positive.\nAnswer: g**(-527\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 9533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -155652 and -7566.\nAnswer: -163218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)\/o)\/o**0)**(8\/9)*(o*o\/o**(-4))\/o**(-4\/7)*o**3*o**(-4) assuming o is positive.\nAnswer: o**(239\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 58.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wsos when four letters picked without replacement from {s: 2, o: 1, w: 1, c: 2}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-2697)*(-24552)\/1188.\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*c = -12, -3*g = -8*g - 5*c + 130 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -100. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 + 2 + -101 + 62?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**3 - 4350626*s**2 - 51*s + 87117 wrt s?\nAnswer: -6*s - 8701252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(-20 + 29 + 32)*(-2*z + 5*z - 2*z + (-2 - 6 + 3)*(-5 - 2*z + 5) - 4*z + 0*z + 5*z).\nAnswer: -1476*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 140 - 76 = -8*u. Solve 2*t - 6 = 0, -l - 3 = -u*t + 22*t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 1. Let v(l) = 4*l - 6. Let a(k) = k - 1. Let n(c) = 5*a(c) - v(c). Calculate 5*n(q) - 3*o(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 443*k**3 - 450*k**2 - 2664*k.\nAnswer: k*(k - 3)*(k + 2)*(k + 444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - 2*z - 7*z + 60.\nAnswer: -2*z + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1040 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 25. Solve -i = s*i - 3*c - 18, 0 = 3*i - 4*c - 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -294*k**3 + k**2. Is n(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 11 = -3*x + 14, -2*f + 10 = -5*x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*-2)\/sqrt(8))\/(sqrt(36)\/sqrt(4)*-4).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35226 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 14*y**2 + 14*y + 22. Let m be a(-13). Solve 0 = 4*w - 5*t + 3*t + 18, -3*t + m = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-16))\/(1\/38). Let b = -19 - p. Let v = b - -41. What is the nearest to -0.1 in 14, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 15 = 5*t, t - 1 = 2*l - 12. Suppose 2*q + 3 = -l. Let z(f) = -f + 3. Let i be z(5). Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 7845160*p**2 - 15690335*p - 7845170.\nAnswer: 5*(p - 1569034)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j - 1. Let l(k) = 36*k - 4. Let y(r) = 2*l(r) - 11*o(r). Let q be (-21 - -11)\/(-3 - -7 - 34\/6). Determine y(q).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 690556844?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1622588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-430)*(10*-3334)\/(-10). Let r = -88\/43 + k. Calculate the common denominator of r and ((-105)\/6)\/((-1)\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - o + 4. Suppose -4*u = 3*n + 51, -u = n + 3*n + 16. Let w be (8\/(-6))\/(4\/u). Give l(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 67 (b) 86 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0302712 plus 1?\nAnswer: 0.9697288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 27 - (0 - -6)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-14))\/((-30)\/(-105)) + 5 + -21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/q**(2\/5))*q*q))\/(q\/q**(-3\/8)))**18*((q**3\/q)**(-6))**(1\/11) assuming q is positive.\nAnswer: q**(-11229\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - v + 1. Suppose 2*s + 1 = s. Let h(l) = -2*l**2 - 2*l + 1. What is s*h(t) + 3*x(t)?\nAnswer: -t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 192, 1487, 5002, 11847, 23132?\n\"Answer: 185*j**3 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(-4*k - 2*k + 2*k + 1296 - 130*k - 1296 - 3*k + 4*k - 2*k + (0 - 1 + 0)*(-5*k + 3*k + 4*k) + k + 3 - 3 + 2*k - 3*k - 2*k).\nAnswer: -278*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29913 - 31319.3. What is c rounded to the nearest ten?\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 5\/18, 8355 in descending order.\nAnswer: 8355, 4\/7, 5\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 36749265*a**2 + 146997000*a + 146996980.\nAnswer: 5*(a + 2)**2*(a + 7349849)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r*r**(1\/4))\/r)\/r*r)*r)\/r*r\/(r*r**(-4\/5))*(r**0)**(6\/5))\/((r\/r**3*r*r**(-2))\/(r*(r*r**2)\/r)**(-4\/5)) assuming r is positive.\nAnswer: r**(43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 9*v**2 + 9*v + 9. Suppose -q = -2*q - 9. Let p(u) = -u**3 + 4*u**2 - 4*u - 4. Determine q*p(x) - 4*w(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**2 - 17*a - 12. What is c(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from {a: 4, k: 1, z: 2, f: 10}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3084 - -3079. Put 1, g, 27, 0 in decreasing order.\nAnswer: 27, 1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -96 and -33.1?\nAnswer: 62.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 - -57. Solve 3*s + 4*x = 2*s + 16, g*x = -4*s - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105.2 + 41. Let s = 64 + w. Is -0.06 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 369 = -4*j, 2 - 22 = -5*j. Calculate the remainder when 2925 is divided by t.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300286 divided by 89.\nAnswer: 3374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 5:22 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.1, -8, -1\/570?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1579709.706 rounded to the nearest 10000?\nAnswer: -1580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + (24 - 26) + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = s + 3*s - 5*i, 0 = -2*s + i - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105*q**5 + 154 - 11*q - 150 - 13*q**2 + 36*q + 2*q**2 wrt q?\nAnswer: 2100*q**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-50) - (-18)\/(-10). Let l(q) = -43*q**3 + 2*q - 1. Let b be l(1). What is the units digit of (10\/15)\/(g\/b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 254 and 8001.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-2 + -39 + (17 - (-7 + 19)) - 10).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2165801\/138 - 15694. Let n be 2\/(-4) - (-25)\/46. Let m = n - j. What is the smallest value in 1, 1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -124. Let l = s + 97. Which is the closest to -1\/2? (a) 4 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -63 + 43. Solve -3*h - 5*k = 22, 0 = -4*h + h + s*k - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 4*z + 4 = -4*n, 3*z - 9 = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*c - 3*c - 32 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1120 - 1153.4. Round r to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22462\/(-1021))\/(((-2)\/(-10))\/((-8)\/(-60)*3))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o - 24 = -192. Sort o, 3, -5 in ascending order.\nAnswer: -5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.0006?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/401920 and -101\/8960?\nAnswer: 2813440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r - 2. Let u be f(1). Determine z so that -55*z**3 + 30*z**4 + 42*z**5 + u*z**5 + 21*z - z - 20*z**2 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 t, and 1 u when three letters picked without replacement from zttljtttlzujj.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*x - 14*x + 6*x)*(1 + 1 + 0)*(2*x**2 + 0*x**2 - x**2).\nAnswer: -76*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.9 - -10. Let k = -50 - -50.3. Let h = k - 0.4. Sort x, -4, h.\nAnswer: -4, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.16 (b) 0 (c) -1 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5070694440 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 174853, 174904, 174955, 175006?\n\"Answer: 51*f + 174802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183 + -181. Find the first derivative of 2*f**2 - 21 - 7*f**2 - 4*f**2 + t*f - f**2 wrt f.\nAnswer: -20*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 4.5. Let o = 4.5 + g. Let q = 0.4 - o. Put 1, q, 5 in decreasing order.\nAnswer: 5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -3*n**2\/2 - n - 11. What is o(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*i + 8. Calculate the least common multiple of 9 and 6\/i - (-46)\/4.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5909\/10121 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.3, 0.5, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 475, 464, 445, 418?\n\"Answer: -4*a**2 + a + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1098\/5*q - 108\/5 - 400\/3*q**4 + 920*q**3 - 756*q**2 = 0. Calculate q.\nAnswer: 3\/10, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-1)*((-8)\/(-4))\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 182 = -8*x. Let c(z) = -8731*z - 3. Let u be c(x). Round u to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from {m: 2, s: 2, n: 5, b: 1, x: 1, k: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257587 divided by -23417.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 + 1188\/15 - (-4)\/(-20) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/33 in 1, -11, -0.115?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 432 by -432.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + (38 - 39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v**2 + 51*v + 138. Determine p(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 144596105?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 6*k - 24*k)*(k - 15*k + 2*k)*(-1 - 2 + 5).\nAnswer: 576*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.562 * 0.1\nAnswer: 0.1562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*o - 179 = -6*l, 6*l = -o + 386. What is the remainder when l is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -q - q - 260, 2*q + 246 = 3*n. Let w be (-2299)\/11 + 24\/(-8). Let p = q - w. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*((0 + sqrt(242))*-1 + 0 + sqrt(242) + 4 + 0 + 3) + -1)**2.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134644 and 72.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -265188 divided by -24108.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 4:14 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 66 = 5*z. Let g = z - 10. Solve 4*y = -g - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30870, -61757, -92646, -123537, -154430?\nAnswer: -185325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 2 + 2, 5*s = 2*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 7:08 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 21*j - 121. What is a(-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8427 - -6212. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -4 (c) -2\/3907 (d) 1115\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/1)\/(-16)*1*-4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -5be?\nAnswer: -5c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 a, and 1 j when three letters picked without replacement from gjgjlgjvjgtagalj.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 633210 divided by 20?\nAnswer: 63321\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - l = 122, -4*f + 5*l + 0*l + 232 = 0. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5730 divided by -5\nAnswer: -1146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 477 - 390. Suppose 7*d - 689 = -i. Calculate the highest common divisor of d and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1183652\/325 - -3642. Let g = 4\/25 + l. Let b = 9 + -9. Which is greater: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**4\/12 + k**2. Let f(v) = 38 + 3*v - 72 + 34. What is q(f(o))?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-660)\/(-616))\/((-6)\/7)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3203.\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*c**2 - 15*c**2 + 2*c + 9*c**3 + 0*c in the form b + w*c**2 + f*c + n*c**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1060 + 223 - 113 = 90*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 91*n**2 - 113*n + 1761. What is w(4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 2*f - 1. Let v(a) = a**2 + a - 1. Let c(l) = t(l) - 2*v(l). Let z(r) be the first derivative of c(r). Let j(d) = -7*d**2. Give z(j(o)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106712.\nAnswer: 2, 13339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 22*f**3\/3 - 1. Let y(q) = -q**2 - 16*q**2 - 8*q**2 - 12*q**2 - 9*q**2 + 59*q**2. What is w(y(x))?\nAnswer: 3718*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1623.871 * 2.\nAnswer: -3247.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -2\/9 (b) 1 (c) 5 (d) -0.0304\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*t + 20, 48 = 4*k + 3*t + 10. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2)\/(f**(-3\/2)*f)*(f**(-8\/3)\/f*f)**(3\/13))**10 assuming f is positive.\nAnswer: f**(-80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11044, -11045, -11046, -11047, -11048?\nAnswer: -11049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9 + 2*c + 5*c + 8 - 7*c**2 - 5*c. Suppose j + 1 = 2*j. What is t(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1, -4, -9, -16, -25, -36?\n\"Answer: -s**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_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: Let j = -9 + 7. Let o = -67.1 + 67. Let t = 1577\/45 - 310\/9. Which is the closest to o? (a) 0 (b) j (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 0 - 1)*(-2 - 3 + 6) + 3 + 0 - 1 - 2 + 5 - 1 + 4 - 2 - 1 + 42 + 10 - 17)*(b + b + 0*b) to the form g + s*b and give s.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002491 rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 + 24. Let q be (j\/9 - -1) + 2. Let n = -5 - -3. What is the third biggest value in q, n, -1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 105277 and -1.7.\nAnswer: -178970.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, v: 1, e: 1, u: 2, b: 2}. What is prob of sequence evdb?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t + 26. Let y be d(6). Find the third derivative of -u**2 + 13*u**y + 2*u**3 - 2*u**3 - 4*u**3 wrt u.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q - 34*q + 1024 + 880 = -2086 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 16. Let c be n(15). Is -2*c\/(-7) - 50289\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*c + 4*y, -5*c - 4*y = -3*c + 24 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/3*(2*3\/(-2) - -12). Which is smaller: d or 389\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -445.\nAnswer: 2670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 357793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awoj when four letters picked without replacement from {n: 1, i: 1, a: 1, o: 1, w: 2, j: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1710\/152 - (-6)\/8. Solve 0 = -8*b + 14*b - w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*n = 11193 - 9333 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = c + 4*c. Let x = c + 10. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 342 divided by -1\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 13*l - 2. Suppose 0*w = 3*w + 33. Let t be c(w). Let x = t + -10. Are 10 and x unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52826 is divided by 13197.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 m, and 1 e when three letters picked without replacement from qezmj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -930.7263 + -3.0637. Let f = -944 - y. Let h = 10 + f. What is h rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/9 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**3 + 168*d - 56 - 104*d + 53 + d**2 in the form k*d**2 + h + z*d**3 + s*d and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s = 15*s + 28. Let k be 2\/s - 1690\/(-14). What is the highest common factor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30395 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*d**3 + 36*d**3 + 25*d**3 + (-2 + 6 - 2)*(-2*d**3 + 6*d**3 - d**3).\nAnswer: 47*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 25*o**4\/4 + 2*o**3\/3 - o**2 - 9*o + 49. What is the second derivative of w(p) wrt p?\nAnswer: 150*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3\/7 - 6460*g**2\/7 + 2611452*g\/7 - 2604996\/7.\nAnswer: 4*(g - 807)**2*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = -6*k + 5*k. Let q be k\/12 - -2*(-1)\/12. What is the highest common divisor of 25 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/18)\/((-182)\/(-1365))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*r - 103333 = -17*r - 3542. List the prime factors of r.\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/4*n - 3\/4*n**3 + 9\/4*n**2 + 3\/4.\nAnswer: -3*(n - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201202 - 11022112112?\nAnswer: -11111021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i**2*w + 181964*i**2 - 41*i*w - 13*i + w wrt i.\nAnswer: -8*w + 363928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-12))\/((-15)\/240). Put v, 1, -13\/6 in descending order.\nAnswer: v, 1, -13\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 71*u + 1254. Give i(23).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l + 20. Let p(h) = -3*h + 19. Let c(x) = -4*k(x) + 5*p(x). Let i be c(15). Find the second derivative of -30*q**2 + 15*q + 35*q**3 + i*q**2 wrt q.\nAnswer: 210*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1925\/8 - 241. Let f = 174 - 176. Put f, 4, y in descending order.\nAnswer: 4, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3368132 and 6412.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*a = 116*a - 50. Let m = 3759\/17 - 221. Sort 0.5, -2\/11, a, m.\nAnswer: -2\/11, m, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001797906806 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 53*p**2 + 6*p - 432. Give w(53).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n - 2. Let s(d) = 9*d - 55. Let f be s(6). Let b(p) = -p + 1. Let m(v) = f*w(v) - 2*b(v). Let k(y) = -7*y + 1. What is -k(c) + 6*m(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8392, 2\/9, -0.1, 2?\nAnswer: 8392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.107412 months in years?\nAnswer: 2.008951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2030042526798 and 0.3.\nAnswer: -2030042526797.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -3 - (-5 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122 + -122. Solve p = -14*i - 0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14*(1\/(-2))\/(-1). Let d = f - 4. Suppose 6*w - 2*w - 20 = 4*x, 0 = -5*w + 3*x + 23. Solve -w = -d*p + 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(108))\/sqrt(4).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*g. Suppose g = h + 5*j + 15 - 0, -h + 1 = j. Suppose 5*s + 3*z = 11, -4*s - 1 = h*z - 2. Solve y = -s*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/2 + 53 + -3. Suppose -3*r + 2*r = -2*v + 43, -2*v + 4*r + i = 0. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -45894, -183523, -412906, -734043?\n\"Answer: -45877*h**2 + 2*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-2 + sqrt(1088) + 0 - sqrt(1088)) - (-5 + (sqrt(1088) + 1)*1))*6)**2.\nAnswer: 2304*sqrt(17) + 39744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139237 a multiple of 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 133 + -1?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = -4*m + 10580. Let o = 1300 + m. Is ((-217)\/(-93))\/(1\/o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}